mirror of
https://github.com/clearml/dropbear
synced 2025-04-09 23:24:18 +00:00
curve25519
--HG-- branch : ecc
This commit is contained in:
parent
cfac8435a7
commit
0162c116da
@ -42,7 +42,7 @@ CLIOBJS=cli-main.o cli-auth.o cli-authpasswd.o cli-kex.o \
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CLISVROBJS=common-session.o packet.o common-algo.o common-kex.o \
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common-channel.o common-chansession.o termcodes.o loginrec.o \
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tcp-accept.o listener.o process-packet.o \
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common-runopts.o circbuffer.o
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common-runopts.o circbuffer.o curve25519-donna.o
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KEYOBJS=dropbearkey.o gendss.o genrsa.o
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23
algo.h
23
algo.h
@ -56,6 +56,7 @@ extern algo_type ssh_nocompress[];
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extern const struct dropbear_cipher dropbear_nocipher;
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extern const struct dropbear_cipher_mode dropbear_mode_none;
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extern const struct dropbear_hash dropbear_nohash;
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extern const struct dropbear_kex kex_curve25519;
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struct dropbear_cipher {
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const struct ltc_cipher_descriptor *cipherdesc;
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@ -81,17 +82,27 @@ struct dropbear_hash {
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const unsigned char hashsize;
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};
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enum dropbear_kex_mode {
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DROPBEAR_KEX_NORMAL_DH,
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DROPBEAR_KEX_ECDH,
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DROPBEAR_KEX_CURVE25519,
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};
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struct dropbear_kex {
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// "normal" DH KEX
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enum dropbear_kex_mode mode;
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/* "normal" DH KEX */
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const unsigned char *dh_p_bytes;
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const int dh_p_len;
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// elliptic curve DH KEX
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/* elliptic curve DH KEX */
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#ifdef DROPBEAR_ECDH
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const struct dropbear_ecc_curve *ecc_curve;
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#else
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const void* dummy;
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#endif
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// both
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/* both */
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const struct ltc_hash_descriptor *hash_desc;
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};
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@ -117,12 +128,6 @@ int check_user_algos(const char* user_algo_list, algo_type * algos,
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char * algolist_string(algo_type algos[]);
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#endif
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#ifdef DROPBEAR_ECDH
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#define IS_NORMAL_DH(algo) ((algo)->dh_p_bytes != NULL)
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#else
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#define IS_NORMAL_DH(algo) 1
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#endif
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enum {
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DROPBEAR_COMP_NONE,
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DROPBEAR_COMP_ZLIB,
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97
cli-kex.c
97
cli-kex.c
@ -47,27 +47,43 @@ void send_msg_kexdh_init() {
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CHECKCLEARTOWRITE();
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buf_putbyte(ses.writepayload, SSH_MSG_KEXDH_INIT);
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if (IS_NORMAL_DH(ses.newkeys->algo_kex)) {
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if (ses.newkeys->algo_kex != cli_ses.param_kex_algo
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|| !cli_ses.dh_param) {
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if (cli_ses.dh_param) {
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free_kexdh_param(cli_ses.dh_param);
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switch (ses.newkeys->algo_kex->mode) {
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case DROPBEAR_KEX_NORMAL_DH:
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if (ses.newkeys->algo_kex != cli_ses.param_kex_algo
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|| !cli_ses.dh_param) {
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if (cli_ses.dh_param) {
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free_kexdh_param(cli_ses.dh_param);
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}
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cli_ses.dh_param = gen_kexdh_param();
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}
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cli_ses.dh_param = gen_kexdh_param();
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}
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buf_putmpint(ses.writepayload, &cli_ses.dh_param->pub);
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} else {
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buf_putmpint(ses.writepayload, &cli_ses.dh_param->pub);
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break;
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case DROPBEAR_KEX_ECDH:
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#ifdef DROPBEAR_ECDH
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if (ses.newkeys->algo_kex != cli_ses.param_kex_algo
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|| !cli_ses.ecdh_param) {
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if (cli_ses.ecdh_param) {
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free_kexecdh_param(cli_ses.ecdh_param);
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if (ses.newkeys->algo_kex != cli_ses.param_kex_algo
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|| !cli_ses.ecdh_param) {
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if (cli_ses.ecdh_param) {
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free_kexecdh_param(cli_ses.ecdh_param);
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}
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cli_ses.ecdh_param = gen_kexecdh_param();
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}
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cli_ses.ecdh_param = gen_kexecdh_param();
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}
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buf_put_ecc_raw_pubkey_string(ses.writepayload, &cli_ses.ecdh_param->key);
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buf_put_ecc_raw_pubkey_string(ses.writepayload, &cli_ses.ecdh_param->key);
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#endif
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break;
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#ifdef DROPBEAR_CURVE25519
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case DROPBEAR_KEX_CURVE25519:
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if (ses.newkeys->algo_kex != cli_ses.param_kex_algo
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|| !cli_ses.curve25519_param) {
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if (cli_ses.curve25519_param) {
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free_kexcurve25519_param(cli_ses.curve25519_param);
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}
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cli_ses.curve25519_param = gen_kexcurve25519_param();
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}
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buf_putstring(ses.writepayload, cli_ses.curve25519_param->priv, CURVE25519_LEN);
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#endif
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break;
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}
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cli_ses.param_kex_algo = ses.newkeys->algo_kex;
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encrypt_packet();
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ses.requirenext[0] = SSH_MSG_KEXDH_REPLY;
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@ -103,23 +119,38 @@ void recv_msg_kexdh_reply() {
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dropbear_exit("Bad KEX packet");
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}
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if (IS_NORMAL_DH(ses.newkeys->algo_kex)) {
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// Normal diffie-hellman
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DEF_MP_INT(dh_f);
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m_mp_init(&dh_f);
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if (buf_getmpint(ses.payload, &dh_f) != DROPBEAR_SUCCESS) {
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TRACE(("failed getting mpint"))
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dropbear_exit("Bad KEX packet");
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}
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switch (ses.newkeys->algo_kex->mode) {
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case DROPBEAR_KEX_NORMAL_DH:
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{
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DEF_MP_INT(dh_f);
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m_mp_init(&dh_f);
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if (buf_getmpint(ses.payload, &dh_f) != DROPBEAR_SUCCESS) {
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TRACE(("failed getting mpint"))
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dropbear_exit("Bad KEX packet");
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}
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kexdh_comb_key(cli_ses.dh_param, &dh_f, hostkey);
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mp_clear(&dh_f);
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} else {
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kexdh_comb_key(cli_ses.dh_param, &dh_f, hostkey);
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mp_clear(&dh_f);
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}
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break;
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case DROPBEAR_KEX_ECDH:
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#ifdef DROPBEAR_ECDH
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buffer *ecdh_qs = buf_getstringbuf(ses.payload);
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kexecdh_comb_key(cli_ses.ecdh_param, ecdh_qs, hostkey);
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buf_free(ecdh_qs);
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{
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buffer *ecdh_qs = buf_getstringbuf(ses.payload);
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kexecdh_comb_key(cli_ses.ecdh_param, ecdh_qs, hostkey);
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buf_free(ecdh_qs);
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}
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#endif
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break;
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#ifdef DROPBEAR_CURVE25519
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case DROPBEAR_KEX_CURVE25519:
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{
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buffer *ecdh_qs = buf_getstringbuf(ses.payload);
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kexcurve25519_comb_key(cli_ses.curve25519_param, ecdh_qs, hostkey);
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buf_free(ecdh_qs);
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}
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#endif
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break;
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}
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if (cli_ses.dh_param) {
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@ -132,6 +163,12 @@ void recv_msg_kexdh_reply() {
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cli_ses.ecdh_param = NULL;
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}
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#endif
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#ifdef DROPBEAR_CURVE25519
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if (cli_ses.curve25519_param) {
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free_kexcurve25519_param(cli_ses.curve25519_param);
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cli_ses.curve25519_param = NULL;
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}
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#endif
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cli_ses.param_kex_algo = NULL;
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if (buf_verify(ses.payload, hostkey, ses.hash) != DROPBEAR_SUCCESS) {
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@ -228,23 +228,30 @@ algo_type sshhostkey[] = {
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{NULL, 0, NULL, 0, NULL}
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};
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static struct dropbear_kex kex_dh_group1 = {dh_p_1, DH_P_1_LEN, NULL, &sha1_desc };
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static struct dropbear_kex kex_dh_group14 = {dh_p_14, DH_P_14_LEN, NULL, &sha1_desc };
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static const struct dropbear_kex kex_dh_group1 = {DROPBEAR_KEX_NORMAL_DH, dh_p_1, DH_P_1_LEN, NULL, &sha1_desc };
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static const struct dropbear_kex kex_dh_group14 = {DROPBEAR_KEX_NORMAL_DH, dh_p_14, DH_P_14_LEN, NULL, &sha1_desc };
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#ifdef DROPBEAR_ECDH
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#ifdef DROPBEAR_ECC_256
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static struct dropbear_kex kex_ecdh_nistp256 = {NULL, 0, &ecc_curve_nistp256, &sha256_desc };
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static struct dropbear_kex kex_ecdh_nistp256 = {DROPBEAR_KEX_ECDH, NULL, 0, &ecc_curve_nistp256, &sha256_desc };
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#endif
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#ifdef DROPBEAR_ECC_384
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static struct dropbear_kex kex_ecdh_nistp384 = {NULL, 0, &ecc_curve_nistp384, &sha384_desc };
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static struct dropbear_kex kex_ecdh_nistp384 = {DROPBEAR_KEX_ECDH, NULL, 0, &ecc_curve_nistp384, &sha384_desc };
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#endif
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#ifdef DROPBEAR_ECC_521
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static struct dropbear_kex kex_ecdh_nistp521 = {NULL, 0, &ecc_curve_nistp521, &sha512_desc };
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static struct dropbear_kex kex_ecdh_nistp521 = {DROPBEAR_KEX_ECDH, NULL, 0, &ecc_curve_nistp521, &sha512_desc };
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#endif
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#endif // DROPBEAR_ECDH
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#endif /* DROPBEAR_ECDH */
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#ifdef DROPBEAR_CURVE25519
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/* Referred to directly */
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const struct dropbear_kex kex_curve25519 = {DROPBEAR_KEX_CURVE25519, NULL, 0, NULL, &sha256_desc };
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#endif
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algo_type sshkex[] = {
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#ifdef DROPBEAR_CURVE25519
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{"curve25519-sha256@libssh.org", 0, &kex_curve25519, 1, NULL},
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#endif
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#ifdef DROPBEAR_ECDH
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#ifdef DROPBEAR_ECC_521
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{"ecdh-sha2-nistp521", 0, &kex_ecdh_nistp521, 1, NULL},
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@ -289,7 +296,7 @@ void buf_put_algolist(buffer * buf, algo_type localalgos[]) {
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unsigned int donefirst = 0;
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buffer *algolist = NULL;
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algolist = buf_new(160);
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algolist = buf_new(200);
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for (i = 0; localalgos[i].name != NULL; i++) {
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if (localalgos[i].usable) {
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if (donefirst)
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72
common-kex.c
72
common-kex.c
@ -690,8 +690,8 @@ void kexecdh_comb_key(struct kex_ecdh_param *param, buffer *pub_them,
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ses.dh_K = dropbear_ecc_shared_secret(Q_them, ¶m->key);
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/* From here on, the code needs to work with the _same_ vars on each side,
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* not vice-versaing for client/server */
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/* Create the remainder of the hash buffer, to generate the exchange hash
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See RFC5656 section 4 page 7 */
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if (IS_DROPBEAR_CLIENT) {
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Q_C = ¶m->key;
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Q_S = Q_them;
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@ -700,7 +700,6 @@ void kexecdh_comb_key(struct kex_ecdh_param *param, buffer *pub_them,
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Q_S = ¶m->key;
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}
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/* Create the remainder of the hash buffer, to generate the exchange hash */
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/* K_S, the host key */
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buf_put_pub_key(ses.kexhashbuf, hostkey, ses.newkeys->algo_hostkey);
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/* Q_C, client's ephemeral public key octet string */
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@ -713,7 +712,72 @@ void kexecdh_comb_key(struct kex_ecdh_param *param, buffer *pub_them,
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/* calculate the hash H to sign */
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finish_kexhashbuf();
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}
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#endif
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#endif /* DROPBEAR_ECDH */
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#ifdef DROPBEAR_CURVE25519
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struct kex_curve25519_param *gen_kexcurve25519_param () {
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/* Per http://cr.yp.to/ecdh.html */
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struct kex_curve25519_param *param = m_malloc(sizeof(*param));
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const unsigned char basepoint[32] = {9};
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genrandom(param->priv, CURVE25519_LEN);
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param->priv[0] &= 248;
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param->priv[31] &= 127;
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param->priv[31] |= 64;
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curve25519_donna(param->pub, param->priv, basepoint);
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return param;
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}
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void free_kexcurve25519_param(struct kex_curve25519_param *param)
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{
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m_burn(param->priv, CURVE25519_LEN);
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m_free(param);
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}
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void kexcurve25519_comb_key(struct kex_curve25519_param *param, buffer *buf_pub_them,
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sign_key *hostkey) {
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unsigned char* out = m_malloc(CURVE25519_LEN);
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const unsigned char* Q_C = NULL;
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const unsigned char* Q_S = NULL;
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if (buf_pub_them->len != CURVE25519_LEN)
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{
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dropbear_exit("Bad curve25519");
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}
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curve25519_donna(out, param->priv, buf_pub_them->data);
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ses.dh_K = m_malloc(sizeof(*ses.dh_K));
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m_mp_init(ses.dh_K);
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bytes_to_mp(ses.dh_K, out, CURVE25519_LEN);
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m_free(out);
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/* Create the remainder of the hash buffer, to generate the exchange hash.
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See RFC5656 section 4 page 7 */
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if (IS_DROPBEAR_CLIENT) {
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Q_C = param->pub;
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Q_S = buf_pub_them->data;
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} else {
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Q_S = param->pub;
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Q_C = buf_pub_them->data;
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}
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/* K_S, the host key */
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buf_put_pub_key(ses.kexhashbuf, hostkey, ses.newkeys->algo_hostkey);
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/* Q_C, client's ephemeral public key octet string */
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buf_putstring(ses.kexhashbuf, Q_C, CURVE25519_LEN);
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/* Q_S, server's ephemeral public key octet string */
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buf_putstring(ses.kexhashbuf, Q_S, CURVE25519_LEN);
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/* K, the shared secret */
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buf_putmpint(ses.kexhashbuf, ses.dh_K);
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/* calculate the hash H to sign */
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finish_kexhashbuf();
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}
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#endif /* DROPBEAR_CURVE25519 */
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static void finish_kexhashbuf(void) {
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hash_state hs;
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|
734
curve25519-donna.c
Normal file
734
curve25519-donna.c
Normal file
@ -0,0 +1,734 @@
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/* Copyright 2008, Google Inc.
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
|
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* modification, are permitted provided that the following conditions are
|
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* met:
|
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*
|
||||
* * Redistributions of source code must retain the above copyright
|
||||
* notice, this list of conditions and the following disclaimer.
|
||||
* * Redistributions in binary form must reproduce the above
|
||||
* copyright notice, this list of conditions and the following disclaimer
|
||||
* in the documentation and/or other materials provided with the
|
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* distribution.
|
||||
* * Neither the name of Google Inc. nor the names of its
|
||||
* contributors may be used to endorse or promote products derived from
|
||||
* this software without specific prior written permission.
|
||||
*
|
||||
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
||||
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
|
||||
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
|
||||
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
||||
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
|
||||
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
|
||||
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
|
||||
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
||||
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
|
||||
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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* curve25519-donna: Curve25519 elliptic curve, public key function
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*
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* http://code.google.com/p/curve25519-donna/
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*
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* Adam Langley <agl@imperialviolet.org>
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*
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* Derived from public domain C code by Daniel J. Bernstein <djb@cr.yp.to>
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*
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* More information about curve25519 can be found here
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* http://cr.yp.to/ecdh.html
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*
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* djb's sample implementation of curve25519 is written in a special assembly
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* language called qhasm and uses the floating point registers.
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*
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* This is, almost, a clean room reimplementation from the curve25519 paper. It
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* uses many of the tricks described therein. Only the crecip function is taken
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* from the sample implementation.
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*/
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|
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#include <string.h>
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#include <stdint.h>
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#ifdef _MSC_VER
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#define inline __inline
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#endif
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||||
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typedef uint8_t u8;
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typedef int32_t s32;
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typedef int64_t limb;
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/* Field element representation:
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*
|
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* Field elements are written as an array of signed, 64-bit limbs, least
|
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* significant first. The value of the field element is:
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||||
* x[0] + 2^26·x[1] + x^51·x[2] + 2^102·x[3] + ...
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*
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||||
* i.e. the limbs are 26, 25, 26, 25, ... bits wide.
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*/
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||||
|
||||
/* Sum two numbers: output += in */
|
||||
static void fsum(limb *output, const limb *in) {
|
||||
unsigned i;
|
||||
for (i = 0; i < 10; i += 2) {
|
||||
output[0+i] = (output[0+i] + in[0+i]);
|
||||
output[1+i] = (output[1+i] + in[1+i]);
|
||||
}
|
||||
}
|
||||
|
||||
/* Find the difference of two numbers: output = in - output
|
||||
* (note the order of the arguments!)
|
||||
*/
|
||||
static void fdifference(limb *output, const limb *in) {
|
||||
unsigned i;
|
||||
for (i = 0; i < 10; ++i) {
|
||||
output[i] = (in[i] - output[i]);
|
||||
}
|
||||
}
|
||||
|
||||
/* Multiply a number by a scalar: output = in * scalar */
|
||||
static void fscalar_product(limb *output, const limb *in, const limb scalar) {
|
||||
unsigned i;
|
||||
for (i = 0; i < 10; ++i) {
|
||||
output[i] = in[i] * scalar;
|
||||
}
|
||||
}
|
||||
|
||||
/* Multiply two numbers: output = in2 * in
|
||||
*
|
||||
* output must be distinct to both inputs. The inputs are reduced coefficient
|
||||
* form, the output is not.
|
||||
*/
|
||||
static void fproduct(limb *output, const limb *in2, const limb *in) {
|
||||
output[0] = ((limb) ((s32) in2[0])) * ((s32) in[0]);
|
||||
output[1] = ((limb) ((s32) in2[0])) * ((s32) in[1]) +
|
||||
((limb) ((s32) in2[1])) * ((s32) in[0]);
|
||||
output[2] = 2 * ((limb) ((s32) in2[1])) * ((s32) in[1]) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[0]);
|
||||
output[3] = ((limb) ((s32) in2[1])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[1]) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[3])) * ((s32) in[0]);
|
||||
output[4] = ((limb) ((s32) in2[2])) * ((s32) in[2]) +
|
||||
2 * (((limb) ((s32) in2[1])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[3])) * ((s32) in[1])) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[0]);
|
||||
output[5] = ((limb) ((s32) in2[2])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[3])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in2[1])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[1]) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[5])) * ((s32) in[0]);
|
||||
output[6] = 2 * (((limb) ((s32) in2[3])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[1])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[5])) * ((s32) in[1])) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[0]);
|
||||
output[7] = ((limb) ((s32) in2[3])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[5])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in2[1])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[1]) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[7])) * ((s32) in[0]);
|
||||
output[8] = ((limb) ((s32) in2[4])) * ((s32) in[4]) +
|
||||
2 * (((limb) ((s32) in2[3])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[5])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[1])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[7])) * ((s32) in[1])) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[0]);
|
||||
output[9] = ((limb) ((s32) in2[4])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[5])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in2[3])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[7])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in2[1])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[1]) +
|
||||
((limb) ((s32) in2[0])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[0]);
|
||||
output[10] = 2 * (((limb) ((s32) in2[5])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[3])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[7])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[1])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[1])) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[2]);
|
||||
output[11] = ((limb) ((s32) in2[5])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[7])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in2[3])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in2[2])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[2]);
|
||||
output[12] = ((limb) ((s32) in2[6])) * ((s32) in[6]) +
|
||||
2 * (((limb) ((s32) in2[5])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[7])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[3])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[3])) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[4]);
|
||||
output[13] = ((limb) ((s32) in2[6])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[7])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in2[5])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in2[4])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[4]);
|
||||
output[14] = 2 * (((limb) ((s32) in2[7])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[5])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[5])) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[6]);
|
||||
output[15] = ((limb) ((s32) in2[7])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in2[8])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in2[6])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[6]);
|
||||
output[16] = ((limb) ((s32) in2[8])) * ((s32) in[8]) +
|
||||
2 * (((limb) ((s32) in2[7])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[7]));
|
||||
output[17] = ((limb) ((s32) in2[8])) * ((s32) in[9]) +
|
||||
((limb) ((s32) in2[9])) * ((s32) in[8]);
|
||||
output[18] = 2 * ((limb) ((s32) in2[9])) * ((s32) in[9]);
|
||||
}
|
||||
|
||||
/* Reduce a long form to a short form by taking the input mod 2^255 - 19. */
|
||||
static void freduce_degree(limb *output) {
|
||||
/* Each of these shifts and adds ends up multiplying the value by 19. */
|
||||
output[8] += output[18] << 4;
|
||||
output[8] += output[18] << 1;
|
||||
output[8] += output[18];
|
||||
output[7] += output[17] << 4;
|
||||
output[7] += output[17] << 1;
|
||||
output[7] += output[17];
|
||||
output[6] += output[16] << 4;
|
||||
output[6] += output[16] << 1;
|
||||
output[6] += output[16];
|
||||
output[5] += output[15] << 4;
|
||||
output[5] += output[15] << 1;
|
||||
output[5] += output[15];
|
||||
output[4] += output[14] << 4;
|
||||
output[4] += output[14] << 1;
|
||||
output[4] += output[14];
|
||||
output[3] += output[13] << 4;
|
||||
output[3] += output[13] << 1;
|
||||
output[3] += output[13];
|
||||
output[2] += output[12] << 4;
|
||||
output[2] += output[12] << 1;
|
||||
output[2] += output[12];
|
||||
output[1] += output[11] << 4;
|
||||
output[1] += output[11] << 1;
|
||||
output[1] += output[11];
|
||||
output[0] += output[10] << 4;
|
||||
output[0] += output[10] << 1;
|
||||
output[0] += output[10];
|
||||
}
|
||||
|
||||
#if (-1 & 3) != 3
|
||||
#error "This code only works on a two's complement system"
|
||||
#endif
|
||||
|
||||
/* return v / 2^26, using only shifts and adds. */
|
||||
static inline limb
|
||||
div_by_2_26(const limb v)
|
||||
{
|
||||
/* High word of v; no shift needed*/
|
||||
const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32);
|
||||
/* Set to all 1s if v was negative; else set to 0s. */
|
||||
const int32_t sign = ((int32_t) highword) >> 31;
|
||||
/* Set to 0x3ffffff if v was negative; else set to 0. */
|
||||
const int32_t roundoff = ((uint32_t) sign) >> 6;
|
||||
/* Should return v / (1<<26) */
|
||||
return (v + roundoff) >> 26;
|
||||
}
|
||||
|
||||
/* return v / (2^25), using only shifts and adds. */
|
||||
static inline limb
|
||||
div_by_2_25(const limb v)
|
||||
{
|
||||
/* High word of v; no shift needed*/
|
||||
const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32);
|
||||
/* Set to all 1s if v was negative; else set to 0s. */
|
||||
const int32_t sign = ((int32_t) highword) >> 31;
|
||||
/* Set to 0x1ffffff if v was negative; else set to 0. */
|
||||
const int32_t roundoff = ((uint32_t) sign) >> 7;
|
||||
/* Should return v / (1<<25) */
|
||||
return (v + roundoff) >> 25;
|
||||
}
|
||||
|
||||
static inline s32
|
||||
div_s32_by_2_25(const s32 v)
|
||||
{
|
||||
const s32 roundoff = ((uint32_t)(v >> 31)) >> 7;
|
||||
return (v + roundoff) >> 25;
|
||||
}
|
||||
|
||||
/* Reduce all coefficients of the short form input so that |x| < 2^26.
|
||||
*
|
||||
* On entry: |output[i]| < 2^62
|
||||
*/
|
||||
static void freduce_coefficients(limb *output) {
|
||||
unsigned i;
|
||||
|
||||
output[10] = 0;
|
||||
|
||||
for (i = 0; i < 10; i += 2) {
|
||||
limb over = div_by_2_26(output[i]);
|
||||
output[i] -= over << 26;
|
||||
output[i+1] += over;
|
||||
|
||||
over = div_by_2_25(output[i+1]);
|
||||
output[i+1] -= over << 25;
|
||||
output[i+2] += over;
|
||||
}
|
||||
/* Now |output[10]| < 2 ^ 38 and all other coefficients are reduced. */
|
||||
output[0] += output[10] << 4;
|
||||
output[0] += output[10] << 1;
|
||||
output[0] += output[10];
|
||||
|
||||
output[10] = 0;
|
||||
|
||||
/* Now output[1..9] are reduced, and |output[0]| < 2^26 + 19 * 2^38
|
||||
* So |over| will be no more than 77825 */
|
||||
{
|
||||
limb over = div_by_2_26(output[0]);
|
||||
output[0] -= over << 26;
|
||||
output[1] += over;
|
||||
}
|
||||
|
||||
/* Now output[0,2..9] are reduced, and |output[1]| < 2^25 + 77825
|
||||
* So |over| will be no more than 1. */
|
||||
{
|
||||
/* output[1] fits in 32 bits, so we can use div_s32_by_2_25 here. */
|
||||
s32 over32 = div_s32_by_2_25((s32) output[1]);
|
||||
output[1] -= over32 << 25;
|
||||
output[2] += over32;
|
||||
}
|
||||
|
||||
/* Finally, output[0,1,3..9] are reduced, and output[2] is "nearly reduced":
|
||||
* we have |output[2]| <= 2^26. This is good enough for all of our math,
|
||||
* but it will require an extra freduce_coefficients before fcontract. */
|
||||
}
|
||||
|
||||
/* A helpful wrapper around fproduct: output = in * in2.
|
||||
*
|
||||
* output must be distinct to both inputs. The output is reduced degree and
|
||||
* reduced coefficient.
|
||||
*/
|
||||
static void
|
||||
fmul(limb *output, const limb *in, const limb *in2) {
|
||||
limb t[19];
|
||||
fproduct(t, in, in2);
|
||||
freduce_degree(t);
|
||||
freduce_coefficients(t);
|
||||
memcpy(output, t, sizeof(limb) * 10);
|
||||
}
|
||||
|
||||
static void fsquare_inner(limb *output, const limb *in) {
|
||||
output[0] = ((limb) ((s32) in[0])) * ((s32) in[0]);
|
||||
output[1] = 2 * ((limb) ((s32) in[0])) * ((s32) in[1]);
|
||||
output[2] = 2 * (((limb) ((s32) in[1])) * ((s32) in[1]) +
|
||||
((limb) ((s32) in[0])) * ((s32) in[2]));
|
||||
output[3] = 2 * (((limb) ((s32) in[1])) * ((s32) in[2]) +
|
||||
((limb) ((s32) in[0])) * ((s32) in[3]));
|
||||
output[4] = ((limb) ((s32) in[2])) * ((s32) in[2]) +
|
||||
4 * ((limb) ((s32) in[1])) * ((s32) in[3]) +
|
||||
2 * ((limb) ((s32) in[0])) * ((s32) in[4]);
|
||||
output[5] = 2 * (((limb) ((s32) in[2])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in[1])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in[0])) * ((s32) in[5]));
|
||||
output[6] = 2 * (((limb) ((s32) in[3])) * ((s32) in[3]) +
|
||||
((limb) ((s32) in[2])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in[0])) * ((s32) in[6]) +
|
||||
2 * ((limb) ((s32) in[1])) * ((s32) in[5]));
|
||||
output[7] = 2 * (((limb) ((s32) in[3])) * ((s32) in[4]) +
|
||||
((limb) ((s32) in[2])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in[1])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in[0])) * ((s32) in[7]));
|
||||
output[8] = ((limb) ((s32) in[4])) * ((s32) in[4]) +
|
||||
2 * (((limb) ((s32) in[2])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in[0])) * ((s32) in[8]) +
|
||||
2 * (((limb) ((s32) in[1])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in[3])) * ((s32) in[5])));
|
||||
output[9] = 2 * (((limb) ((s32) in[4])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in[3])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in[2])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in[1])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in[0])) * ((s32) in[9]));
|
||||
output[10] = 2 * (((limb) ((s32) in[5])) * ((s32) in[5]) +
|
||||
((limb) ((s32) in[4])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in[2])) * ((s32) in[8]) +
|
||||
2 * (((limb) ((s32) in[3])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in[1])) * ((s32) in[9])));
|
||||
output[11] = 2 * (((limb) ((s32) in[5])) * ((s32) in[6]) +
|
||||
((limb) ((s32) in[4])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in[3])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in[2])) * ((s32) in[9]));
|
||||
output[12] = ((limb) ((s32) in[6])) * ((s32) in[6]) +
|
||||
2 * (((limb) ((s32) in[4])) * ((s32) in[8]) +
|
||||
2 * (((limb) ((s32) in[5])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in[3])) * ((s32) in[9])));
|
||||
output[13] = 2 * (((limb) ((s32) in[6])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in[5])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in[4])) * ((s32) in[9]));
|
||||
output[14] = 2 * (((limb) ((s32) in[7])) * ((s32) in[7]) +
|
||||
((limb) ((s32) in[6])) * ((s32) in[8]) +
|
||||
2 * ((limb) ((s32) in[5])) * ((s32) in[9]));
|
||||
output[15] = 2 * (((limb) ((s32) in[7])) * ((s32) in[8]) +
|
||||
((limb) ((s32) in[6])) * ((s32) in[9]));
|
||||
output[16] = ((limb) ((s32) in[8])) * ((s32) in[8]) +
|
||||
4 * ((limb) ((s32) in[7])) * ((s32) in[9]);
|
||||
output[17] = 2 * ((limb) ((s32) in[8])) * ((s32) in[9]);
|
||||
output[18] = 2 * ((limb) ((s32) in[9])) * ((s32) in[9]);
|
||||
}
|
||||
|
||||
static void
|
||||
fsquare(limb *output, const limb *in) {
|
||||
limb t[19];
|
||||
fsquare_inner(t, in);
|
||||
freduce_degree(t);
|
||||
freduce_coefficients(t);
|
||||
memcpy(output, t, sizeof(limb) * 10);
|
||||
}
|
||||
|
||||
/* Take a little-endian, 32-byte number and expand it into polynomial form */
|
||||
static void
|
||||
fexpand(limb *output, const u8 *input) {
|
||||
#define F(n,start,shift,mask) \
|
||||
output[n] = ((((limb) input[start + 0]) | \
|
||||
((limb) input[start + 1]) << 8 | \
|
||||
((limb) input[start + 2]) << 16 | \
|
||||
((limb) input[start + 3]) << 24) >> shift) & mask;
|
||||
F(0, 0, 0, 0x3ffffff);
|
||||
F(1, 3, 2, 0x1ffffff);
|
||||
F(2, 6, 3, 0x3ffffff);
|
||||
F(3, 9, 5, 0x1ffffff);
|
||||
F(4, 12, 6, 0x3ffffff);
|
||||
F(5, 16, 0, 0x1ffffff);
|
||||
F(6, 19, 1, 0x3ffffff);
|
||||
F(7, 22, 3, 0x1ffffff);
|
||||
F(8, 25, 4, 0x3ffffff);
|
||||
F(9, 28, 6, 0x3ffffff);
|
||||
#undef F
|
||||
}
|
||||
|
||||
#if (-32 >> 1) != -16
|
||||
#error "This code only works when >> does sign-extension on negative numbers"
|
||||
#endif
|
||||
|
||||
/* Take a fully reduced polynomial form number and contract it into a
|
||||
* little-endian, 32-byte array
|
||||
*/
|
||||
static void
|
||||
fcontract(u8 *output, limb *input) {
|
||||
int i;
|
||||
int j;
|
||||
|
||||
for (j = 0; j < 2; ++j) {
|
||||
for (i = 0; i < 9; ++i) {
|
||||
if ((i & 1) == 1) {
|
||||
/* This calculation is a time-invariant way to make input[i] positive
|
||||
by borrowing from the next-larger limb.
|
||||
*/
|
||||
const s32 mask = (s32)(input[i]) >> 31;
|
||||
const s32 carry = -(((s32)(input[i]) & mask) >> 25);
|
||||
input[i] = (s32)(input[i]) + (carry << 25);
|
||||
input[i+1] = (s32)(input[i+1]) - carry;
|
||||
} else {
|
||||
const s32 mask = (s32)(input[i]) >> 31;
|
||||
const s32 carry = -(((s32)(input[i]) & mask) >> 26);
|
||||
input[i] = (s32)(input[i]) + (carry << 26);
|
||||
input[i+1] = (s32)(input[i+1]) - carry;
|
||||
}
|
||||
}
|
||||
{
|
||||
const s32 mask = (s32)(input[9]) >> 31;
|
||||
const s32 carry = -(((s32)(input[9]) & mask) >> 25);
|
||||
input[9] = (s32)(input[9]) + (carry << 25);
|
||||
input[0] = (s32)(input[0]) - (carry * 19);
|
||||
}
|
||||
}
|
||||
|
||||
/* The first borrow-propagation pass above ended with every limb
|
||||
except (possibly) input[0] non-negative.
|
||||
|
||||
Since each input limb except input[0] is decreased by at most 1
|
||||
by a borrow-propagation pass, the second borrow-propagation pass
|
||||
could only have wrapped around to decrease input[0] again if the
|
||||
first pass left input[0] negative *and* input[1] through input[9]
|
||||
were all zero. In that case, input[1] is now 2^25 - 1, and this
|
||||
last borrow-propagation step will leave input[1] non-negative.
|
||||
*/
|
||||
{
|
||||
const s32 mask = (s32)(input[0]) >> 31;
|
||||
const s32 carry = -(((s32)(input[0]) & mask) >> 26);
|
||||
input[0] = (s32)(input[0]) + (carry << 26);
|
||||
input[1] = (s32)(input[1]) - carry;
|
||||
}
|
||||
|
||||
/* Both passes through the above loop, plus the last 0-to-1 step, are
|
||||
necessary: if input[9] is -1 and input[0] through input[8] are 0,
|
||||
negative values will remain in the array until the end.
|
||||
*/
|
||||
|
||||
input[1] <<= 2;
|
||||
input[2] <<= 3;
|
||||
input[3] <<= 5;
|
||||
input[4] <<= 6;
|
||||
input[6] <<= 1;
|
||||
input[7] <<= 3;
|
||||
input[8] <<= 4;
|
||||
input[9] <<= 6;
|
||||
#define F(i, s) \
|
||||
output[s+0] |= input[i] & 0xff; \
|
||||
output[s+1] = (input[i] >> 8) & 0xff; \
|
||||
output[s+2] = (input[i] >> 16) & 0xff; \
|
||||
output[s+3] = (input[i] >> 24) & 0xff;
|
||||
output[0] = 0;
|
||||
output[16] = 0;
|
||||
F(0,0);
|
||||
F(1,3);
|
||||
F(2,6);
|
||||
F(3,9);
|
||||
F(4,12);
|
||||
F(5,16);
|
||||
F(6,19);
|
||||
F(7,22);
|
||||
F(8,25);
|
||||
F(9,28);
|
||||
#undef F
|
||||
}
|
||||
|
||||
/* Input: Q, Q', Q-Q'
|
||||
* Output: 2Q, Q+Q'
|
||||
*
|
||||
* x2 z3: long form
|
||||
* x3 z3: long form
|
||||
* x z: short form, destroyed
|
||||
* xprime zprime: short form, destroyed
|
||||
* qmqp: short form, preserved
|
||||
*/
|
||||
static void fmonty(limb *x2, limb *z2, /* output 2Q */
|
||||
limb *x3, limb *z3, /* output Q + Q' */
|
||||
limb *x, limb *z, /* input Q */
|
||||
limb *xprime, limb *zprime, /* input Q' */
|
||||
const limb *qmqp /* input Q - Q' */) {
|
||||
limb origx[10], origxprime[10], zzz[19], xx[19], zz[19], xxprime[19],
|
||||
zzprime[19], zzzprime[19], xxxprime[19];
|
||||
|
||||
memcpy(origx, x, 10 * sizeof(limb));
|
||||
fsum(x, z);
|
||||
fdifference(z, origx); // does x - z
|
||||
|
||||
memcpy(origxprime, xprime, sizeof(limb) * 10);
|
||||
fsum(xprime, zprime);
|
||||
fdifference(zprime, origxprime);
|
||||
fproduct(xxprime, xprime, z);
|
||||
fproduct(zzprime, x, zprime);
|
||||
freduce_degree(xxprime);
|
||||
freduce_coefficients(xxprime);
|
||||
freduce_degree(zzprime);
|
||||
freduce_coefficients(zzprime);
|
||||
memcpy(origxprime, xxprime, sizeof(limb) * 10);
|
||||
fsum(xxprime, zzprime);
|
||||
fdifference(zzprime, origxprime);
|
||||
fsquare(xxxprime, xxprime);
|
||||
fsquare(zzzprime, zzprime);
|
||||
fproduct(zzprime, zzzprime, qmqp);
|
||||
freduce_degree(zzprime);
|
||||
freduce_coefficients(zzprime);
|
||||
memcpy(x3, xxxprime, sizeof(limb) * 10);
|
||||
memcpy(z3, zzprime, sizeof(limb) * 10);
|
||||
|
||||
fsquare(xx, x);
|
||||
fsquare(zz, z);
|
||||
fproduct(x2, xx, zz);
|
||||
freduce_degree(x2);
|
||||
freduce_coefficients(x2);
|
||||
fdifference(zz, xx); // does zz = xx - zz
|
||||
memset(zzz + 10, 0, sizeof(limb) * 9);
|
||||
fscalar_product(zzz, zz, 121665);
|
||||
/* No need to call freduce_degree here:
|
||||
fscalar_product doesn't increase the degree of its input. */
|
||||
freduce_coefficients(zzz);
|
||||
fsum(zzz, xx);
|
||||
fproduct(z2, zz, zzz);
|
||||
freduce_degree(z2);
|
||||
freduce_coefficients(z2);
|
||||
}
|
||||
|
||||
/* Conditionally swap two reduced-form limb arrays if 'iswap' is 1, but leave
|
||||
* them unchanged if 'iswap' is 0. Runs in data-invariant time to avoid
|
||||
* side-channel attacks.
|
||||
*
|
||||
* NOTE that this function requires that 'iswap' be 1 or 0; other values give
|
||||
* wrong results. Also, the two limb arrays must be in reduced-coefficient,
|
||||
* reduced-degree form: the values in a[10..19] or b[10..19] aren't swapped,
|
||||
* and all all values in a[0..9],b[0..9] must have magnitude less than
|
||||
* INT32_MAX.
|
||||
*/
|
||||
static void
|
||||
swap_conditional(limb a[19], limb b[19], limb iswap) {
|
||||
unsigned i;
|
||||
const s32 swap = (s32) -iswap;
|
||||
|
||||
for (i = 0; i < 10; ++i) {
|
||||
const s32 x = swap & ( ((s32)a[i]) ^ ((s32)b[i]) );
|
||||
a[i] = ((s32)a[i]) ^ x;
|
||||
b[i] = ((s32)b[i]) ^ x;
|
||||
}
|
||||
}
|
||||
|
||||
/* Calculates nQ where Q is the x-coordinate of a point on the curve
|
||||
*
|
||||
* resultx/resultz: the x coordinate of the resulting curve point (short form)
|
||||
* n: a little endian, 32-byte number
|
||||
* q: a point of the curve (short form)
|
||||
*/
|
||||
static void
|
||||
cmult(limb *resultx, limb *resultz, const u8 *n, const limb *q) {
|
||||
limb a[19] = {0}, b[19] = {1}, c[19] = {1}, d[19] = {0};
|
||||
limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t;
|
||||
limb e[19] = {0}, f[19] = {1}, g[19] = {0}, h[19] = {1};
|
||||
limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h;
|
||||
|
||||
unsigned i, j;
|
||||
|
||||
memcpy(nqpqx, q, sizeof(limb) * 10);
|
||||
|
||||
for (i = 0; i < 32; ++i) {
|
||||
u8 byte = n[31 - i];
|
||||
for (j = 0; j < 8; ++j) {
|
||||
const limb bit = byte >> 7;
|
||||
|
||||
swap_conditional(nqx, nqpqx, bit);
|
||||
swap_conditional(nqz, nqpqz, bit);
|
||||
fmonty(nqx2, nqz2,
|
||||
nqpqx2, nqpqz2,
|
||||
nqx, nqz,
|
||||
nqpqx, nqpqz,
|
||||
q);
|
||||
swap_conditional(nqx2, nqpqx2, bit);
|
||||
swap_conditional(nqz2, nqpqz2, bit);
|
||||
|
||||
t = nqx;
|
||||
nqx = nqx2;
|
||||
nqx2 = t;
|
||||
t = nqz;
|
||||
nqz = nqz2;
|
||||
nqz2 = t;
|
||||
t = nqpqx;
|
||||
nqpqx = nqpqx2;
|
||||
nqpqx2 = t;
|
||||
t = nqpqz;
|
||||
nqpqz = nqpqz2;
|
||||
nqpqz2 = t;
|
||||
|
||||
byte <<= 1;
|
||||
}
|
||||
}
|
||||
|
||||
memcpy(resultx, nqx, sizeof(limb) * 10);
|
||||
memcpy(resultz, nqz, sizeof(limb) * 10);
|
||||
}
|
||||
|
||||
// -----------------------------------------------------------------------------
|
||||
// Shamelessly copied from djb's code
|
||||
// -----------------------------------------------------------------------------
|
||||
static void
|
||||
crecip(limb *out, const limb *z) {
|
||||
limb z2[10];
|
||||
limb z9[10];
|
||||
limb z11[10];
|
||||
limb z2_5_0[10];
|
||||
limb z2_10_0[10];
|
||||
limb z2_20_0[10];
|
||||
limb z2_50_0[10];
|
||||
limb z2_100_0[10];
|
||||
limb t0[10];
|
||||
limb t1[10];
|
||||
int i;
|
||||
|
||||
/* 2 */ fsquare(z2,z);
|
||||
/* 4 */ fsquare(t1,z2);
|
||||
/* 8 */ fsquare(t0,t1);
|
||||
/* 9 */ fmul(z9,t0,z);
|
||||
/* 11 */ fmul(z11,z9,z2);
|
||||
/* 22 */ fsquare(t0,z11);
|
||||
/* 2^5 - 2^0 = 31 */ fmul(z2_5_0,t0,z9);
|
||||
|
||||
/* 2^6 - 2^1 */ fsquare(t0,z2_5_0);
|
||||
/* 2^7 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^8 - 2^3 */ fsquare(t0,t1);
|
||||
/* 2^9 - 2^4 */ fsquare(t1,t0);
|
||||
/* 2^10 - 2^5 */ fsquare(t0,t1);
|
||||
/* 2^10 - 2^0 */ fmul(z2_10_0,t0,z2_5_0);
|
||||
|
||||
/* 2^11 - 2^1 */ fsquare(t0,z2_10_0);
|
||||
/* 2^12 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^20 - 2^0 */ fmul(z2_20_0,t1,z2_10_0);
|
||||
|
||||
/* 2^21 - 2^1 */ fsquare(t0,z2_20_0);
|
||||
/* 2^22 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^40 - 2^0 */ fmul(t0,t1,z2_20_0);
|
||||
|
||||
/* 2^41 - 2^1 */ fsquare(t1,t0);
|
||||
/* 2^42 - 2^2 */ fsquare(t0,t1);
|
||||
/* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t1,t0); fsquare(t0,t1); }
|
||||
/* 2^50 - 2^0 */ fmul(z2_50_0,t0,z2_10_0);
|
||||
|
||||
/* 2^51 - 2^1 */ fsquare(t0,z2_50_0);
|
||||
/* 2^52 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^100 - 2^0 */ fmul(z2_100_0,t1,z2_50_0);
|
||||
|
||||
/* 2^101 - 2^1 */ fsquare(t1,z2_100_0);
|
||||
/* 2^102 - 2^2 */ fsquare(t0,t1);
|
||||
/* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fsquare(t1,t0); fsquare(t0,t1); }
|
||||
/* 2^200 - 2^0 */ fmul(t1,t0,z2_100_0);
|
||||
|
||||
/* 2^201 - 2^1 */ fsquare(t0,t1);
|
||||
/* 2^202 - 2^2 */ fsquare(t1,t0);
|
||||
/* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); }
|
||||
/* 2^250 - 2^0 */ fmul(t0,t1,z2_50_0);
|
||||
|
||||
/* 2^251 - 2^1 */ fsquare(t1,t0);
|
||||
/* 2^252 - 2^2 */ fsquare(t0,t1);
|
||||
/* 2^253 - 2^3 */ fsquare(t1,t0);
|
||||
/* 2^254 - 2^4 */ fsquare(t0,t1);
|
||||
/* 2^255 - 2^5 */ fsquare(t1,t0);
|
||||
/* 2^255 - 21 */ fmul(out,t1,z11);
|
||||
}
|
||||
|
||||
int curve25519_donna(u8 *, const u8 *, const u8 *);
|
||||
|
||||
int
|
||||
curve25519_donna(u8 *mypublic, const u8 *secret, const u8 *basepoint) {
|
||||
limb bp[10], x[10], z[11], zmone[10];
|
||||
uint8_t e[32];
|
||||
int i;
|
||||
|
||||
for (i = 0; i < 32; ++i) e[i] = secret[i];
|
||||
e[0] &= 248;
|
||||
e[31] &= 127;
|
||||
e[31] |= 64;
|
||||
|
||||
fexpand(bp, basepoint);
|
||||
cmult(x, z, e, bp);
|
||||
crecip(zmone, z);
|
||||
fmul(z, x, zmone);
|
||||
freduce_coefficients(z);
|
||||
fcontract(mypublic, z);
|
||||
return 0;
|
||||
}
|
19
kex.h
19
kex.h
@ -47,6 +47,13 @@ void kexecdh_comb_key(struct kex_ecdh_param *param, buffer *pub_them,
|
||||
sign_key *hostkey);
|
||||
#endif
|
||||
|
||||
#ifdef DROPBEAR_CURVE25519
|
||||
struct kex_curve25519_param *gen_kexcurve25519_param();
|
||||
void free_kexcurve25519_param(struct kex_curve25519_param *param);
|
||||
void kexcurve25519_comb_key(struct kex_curve25519_param *param, buffer *pub_them,
|
||||
sign_key *hostkey);
|
||||
#endif
|
||||
|
||||
#ifndef DISABLE_ZLIB
|
||||
int is_compress_trans();
|
||||
int is_compress_recv();
|
||||
@ -92,6 +99,18 @@ struct kex_ecdh_param {
|
||||
};
|
||||
#endif
|
||||
|
||||
#ifdef DROPBEAR_CURVE25519
|
||||
#define CURVE25519_LEN 32
|
||||
struct kex_curve25519_param {
|
||||
unsigned char priv[CURVE25519_LEN];
|
||||
unsigned char pub[CURVE25519_LEN];
|
||||
};
|
||||
|
||||
/* No header file for curve25519_donna */
|
||||
int curve25519_donna(unsigned char *out, const unsigned char *secret, const unsigned char *other);
|
||||
#endif
|
||||
|
||||
|
||||
#define MAX_KEXHASHBUF 2000
|
||||
|
||||
#endif /* _KEX_H_ */
|
||||
|
@ -1018,7 +1018,7 @@ static int openssh_write(const char *filename, sign_key *key,
|
||||
}
|
||||
*/
|
||||
buffer *seq_buf = buf_new(400);
|
||||
ecc_key **eck = signkey_ecc_key_ptr(key, key->type);
|
||||
ecc_key **eck = (ecc_key**)signkey_key_ptr(key, key->type);
|
||||
const unsigned long curve_size = (*eck)->dp->size;
|
||||
int curve_oid_len = 0;
|
||||
const void* curve_oid = NULL;
|
||||
|
@ -142,6 +142,8 @@ much traffic. */
|
||||
#define DROPBEAR_ECDH
|
||||
#define DROPBEAR_ECDSA
|
||||
|
||||
#define DROPBEAR_CURVE25519
|
||||
|
||||
/* RSA can be vulnerable to timing attacks which use the time required for
|
||||
* signing to guess the private key. Blinding avoids this attack, though makes
|
||||
* signing operations slightly slower. */
|
||||
|
@ -244,6 +244,7 @@ struct clientsession {
|
||||
// XXX - move these to kexstate?
|
||||
struct kex_dh_param *dh_param;
|
||||
struct kex_ecdh_param *ecdh_param;
|
||||
struct kex_curve25519_param *curve25519_param;
|
||||
const struct dropbear_kex *param_kex_algo; /* KEX algorithm corresponding to current dh_e and dh_x */
|
||||
|
||||
cli_kex_state kex_state; /* Used for progressing KEX */
|
||||
|
63
svr-kex.c
63
svr-kex.c
@ -52,15 +52,22 @@ void recv_msg_kexdh_init() {
|
||||
dropbear_exit("Premature kexdh_init message received");
|
||||
}
|
||||
|
||||
if (IS_NORMAL_DH(ses.newkeys->algo_kex)) {
|
||||
m_mp_init(&dh_e);
|
||||
if (buf_getmpint(ses.payload, &dh_e) != DROPBEAR_SUCCESS) {
|
||||
dropbear_exit("Failed to get kex value");
|
||||
}
|
||||
} else {
|
||||
#ifdef DROPBEAR_ECDH
|
||||
ecdh_qs = buf_getstringbuf(ses.payload);
|
||||
switch (ses.newkeys->algo_kex->mode) {
|
||||
case DROPBEAR_KEX_NORMAL_DH:
|
||||
m_mp_init(&dh_e);
|
||||
if (buf_getmpint(ses.payload, &dh_e) != DROPBEAR_SUCCESS) {
|
||||
dropbear_exit("Bad kex value");
|
||||
}
|
||||
break;
|
||||
case DROPBEAR_KEX_ECDH:
|
||||
case DROPBEAR_KEX_CURVE25519:
|
||||
#if defined(DROPBEAR_ECDH) || defined(DROPBEAR_CURVE25519)
|
||||
ecdh_qs = buf_getstringbuf(ses.payload);
|
||||
if (ses.payload->pos != ses.payload->len) {
|
||||
dropbear_exit("Bad kex value");
|
||||
}
|
||||
#endif
|
||||
break;
|
||||
}
|
||||
|
||||
send_msg_kexdh_reply(&dh_e, ecdh_qs);
|
||||
@ -92,22 +99,38 @@ static void send_msg_kexdh_reply(mp_int *dh_e, buffer *ecdh_qs) {
|
||||
buf_put_pub_key(ses.writepayload, svr_opts.hostkey,
|
||||
ses.newkeys->algo_hostkey);
|
||||
|
||||
if (IS_NORMAL_DH(ses.newkeys->algo_kex)) {
|
||||
// Normal diffie-hellman
|
||||
struct kex_dh_param * dh_param = gen_kexdh_param();
|
||||
kexdh_comb_key(dh_param, dh_e, svr_opts.hostkey);
|
||||
switch (ses.newkeys->algo_kex->mode) {
|
||||
case DROPBEAR_KEX_NORMAL_DH:
|
||||
{
|
||||
struct kex_dh_param * dh_param = gen_kexdh_param();
|
||||
kexdh_comb_key(dh_param, dh_e, svr_opts.hostkey);
|
||||
|
||||
/* put f */
|
||||
buf_putmpint(ses.writepayload, &dh_param->pub);
|
||||
free_kexdh_param(dh_param);
|
||||
} else {
|
||||
/* put f */
|
||||
buf_putmpint(ses.writepayload, &dh_param->pub);
|
||||
free_kexdh_param(dh_param);
|
||||
}
|
||||
break;
|
||||
case DROPBEAR_KEX_ECDH:
|
||||
#ifdef DROPBEAR_ECDH
|
||||
struct kex_ecdh_param *ecdh_param = gen_kexecdh_param();
|
||||
kexecdh_comb_key(ecdh_param, ecdh_qs, svr_opts.hostkey);
|
||||
{
|
||||
struct kex_ecdh_param *ecdh_param = gen_kexecdh_param();
|
||||
kexecdh_comb_key(ecdh_param, ecdh_qs, svr_opts.hostkey);
|
||||
|
||||
buf_put_ecc_raw_pubkey_string(ses.writepayload, &ecdh_param->key);
|
||||
free_kexecdh_param(ecdh_param);
|
||||
buf_put_ecc_raw_pubkey_string(ses.writepayload, &ecdh_param->key);
|
||||
free_kexecdh_param(ecdh_param);
|
||||
}
|
||||
#endif
|
||||
break;
|
||||
case DROPBEAR_KEX_CURVE25519:
|
||||
#ifdef DROPBEAR_CURVE25519
|
||||
{
|
||||
struct kex_curve25519_param *param = gen_kexecdh_param();
|
||||
kexcurve25519_comb_key(param, ecdh_qs, svr_opts.hostkey);
|
||||
buf_putstring(ses.writepayload, param->priv, CURVE25519_LEN);
|
||||
free_kexcurve25519_param(param);
|
||||
}
|
||||
#endif
|
||||
break;
|
||||
}
|
||||
|
||||
/* calc the signature */
|
||||
|
Loading…
Reference in New Issue
Block a user