Add support for secp256k1 arithmetic

include/polarssl/config.h

@@ -259,6 +259,9 @@
 #define POLARSSL_ECP_DP_SECP256R1_ENABLED
 #define POLARSSL_ECP_DP_SECP384R1_ENABLED
 #define POLARSSL_ECP_DP_SECP521R1_ENABLED
+//#define POLARSSL_ECP_DP_SECP192K1_ENABLED // Not implemented yet!
+//#define POLARSSL_ECP_DP_SECP224K1_ENABLED // Not implemented yet!
+#define POLARSSL_ECP_DP_SECP256K1_ENABLED
 #define POLARSSL_ECP_DP_BP256R1_ENABLED
 #define POLARSSL_ECP_DP_BP384R1_ENABLED
 #define POLARSSL_ECP_DP_BP512R1_ENABLED

include/polarssl/ecp.h

@@ -68,6 +68,9 @@ typedef enum
     POLARSSL_ECP_DP_M255,           /*!< Curve25519               */
     POLARSSL_ECP_DP_M383,           /*!< (not implemented yet)    */
     POLARSSL_ECP_DP_M511,           /*!< (not implemented yet)    */
+    POLARSSL_ECP_DP_SECP192K1,      /*!< (not implemented yet)    */
+    POLARSSL_ECP_DP_SECP224K1,      /*!< (not implemented yet)    */
+    POLARSSL_ECP_DP_SECP256K1,      /*!< 256-bits Koblitz curve   */
 } ecp_group_id;
 
 /**

library/ecp_curves.c

@@ -318,6 +318,39 @@ static t_uint secp521r1_n[] = {
 };
 #endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
 
+#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
+static t_uint secp256k1_p[] = {
+    BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
+    BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
+    BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
+    BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
+};
+static t_uint secp256k1_a[] = {
+    BYTES_TO_T_UINT_2( 0x00, 0x00 ),
+};
+static t_uint secp256k1_b[] = {
+    BYTES_TO_T_UINT_2( 0x07, 0x00 ),
+};
+static t_uint secp256k1_gx[] = {
+    BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
+    BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
+    BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
+    BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
+};
+static t_uint secp256k1_gy[] = {
+    BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
+    BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
+    BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
+    BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
+};
+static t_uint secp256k1_n[] = {
+    BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
+    BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
+    BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
+    BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
+};
+#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
+
 /*
  * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
  */
@@ -648,6 +681,11 @@ int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
             return( LOAD_GROUP( secp521r1 ) );
 #endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
 
+#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
+        case POLARSSL_ECP_DP_SECP256K1:
+            return( LOAD_GROUP_A( secp256k1 ) );
+#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
+
 #if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
         case POLARSSL_ECP_DP_BP256R1:
             return( LOAD_GROUP_A( brainpoolP256r1 ) );

tests/suites/test_suite_ecp.data

@@ -423,5 +423,9 @@ ECP test vectors M255 aka Curve25519
 depends_on:POLARSSL_ECP_DP_M255_ENABLED
 ecp_test_vec_x:POLARSSL_ECP_DP_M255:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"057E23EA9F1CBE8A27168F6E696A791DE61DD3AF7ACD4EEACC6E7BA514FDA863":"47DC3D214174820E1154B49BC6CDB2ABD45EE95817055D255AA35831B70D3260":"6EB89DA91989AE37C7EAC7618D9E5C4951DBA1D73C285AE1CD26A855020EEF04":"61450CD98E36016B58776A897A9F0AEF738B99F09468B8D6B8511184D53494AB"
 
+ECP test vectors secp256k1
+depends_on:POLARSSL_ECP_DP_SECP256K1_ENABLED
+ecp_test_vect:POLARSSL_ECP_DP_SECP256K1:"923C6D4756CD940CD1E13A359F6E0F0698791938E6D60246030AE4B0D8D4E9DE":"20A865B295E93C5B090F324B84D7AC7526AA1CFE86DD80E792CECCD16B657D55":"38AC87141A4854A8DFD87333E107B61692323721FE2EAD6E52206FE471A4771B":"4F5036A8ED5809AB7E70AEDA68A174ECC1F3800561B2D4FABE97C5D2A1A94D08":"029F5D2CC5A2C7E538FBA321439B4EC8DD79B7FEB9C0A8A5114EEA39856E22E8":"165171AFC3411A427F24FDDE1192A551C90983EB421BC982AB4CF4E21F18F04B":"E4B5B537D3ACEA7624F2E9C185BFFD80BC7035E515F33E0D4CFAE747FD20038E":"2BC685B7DCDBC694F5E036C4EAE9BFB489D7BF8940C4681F734B71D68501514C"
+
 ECP selftest
 ecp_selftest: