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com.distrimind.bouncycastle.pqc.legacy.crypto.sike.P751 Maven / Gradle / Ivy
package com.distrimind.bouncycastle.pqc.legacy.crypto.sike;
import java.io.IOException;
import java.io.InputStream;
import java.util.Properties;
class P751
extends Internal
{
// Encoding of field elements, elements over Z_order, elements over GF(p^2) and elliptic curve points:
// --------------------------------------------------------------------------------------------------
// Elements over GF(p) and Z_order are encoded with the least significant octet (and digit) located at the leftmost position (i.e., little endian format).
// Elements (a+b*i) over GF(p^2), where a and b are defined over GF(p), are encoded as {a, b}, with a in the least significant position.
// Elliptic curve points P = (x,y) are encoded as {x, y}, with x in the least significant position.
// Internally, the number of digits used to represent all these elements is obtained by approximating the number of bits to the immediately greater multiple of 32.
// For example, a 751-bit field element is represented with Ceil(751 / 64) = 12 64-bit digits or Ceil(751 / 32) = 24 32-bit digits.
//
// Curve isogeny system "SIDHp751". Base curve: Montgomery curve By^2 = Cx^3 + Ax^2 + Cx defined over GF(p751^2), where A=6, B=1, C=1 and p751 = 2^372*3^239-1
//
P751(boolean isCompressed)
{
this.COMPRESS = isCompressed;
CRYPTO_SECRETKEYBYTES = 644;
CRYPTO_PUBLICKEYBYTES = 564;
CRYPTO_BYTES = 32;
CRYPTO_CIPHERTEXTBYTES = 596;
if(isCompressed)
{
CRYPTO_SECRETKEYBYTES = 602;
CRYPTO_PUBLICKEYBYTES = 335;
CRYPTO_CIPHERTEXTBYTES = 410;
}
NWORDS_FIELD = 12; // Number of words of a 751-bit field element
PRIME_ZERO_WORDS = 5; // Number of "0" digits in the least significant part of p751 + 1
// Basic constants
NBITS_FIELD = 751;
MAXBITS_FIELD = 768;
MAXWORDS_FIELD = ((MAXBITS_FIELD+RADIX-1)/RADIX); // Max. number of words to represent field elements
NWORDS64_FIELD = ((NBITS_FIELD+63)/64); // Number of 64-bit words of a 751-bit field element
NBITS_ORDER = 384;
NWORDS_ORDER = ((NBITS_ORDER+RADIX-1)/RADIX); // Number of words of oA and oB, where oA and oB are the subgroup orders of Alice and Bob, resp.
NWORDS64_ORDER = ((NBITS_ORDER+63)/64); // Number of 64-bit words of a 384-bit element
MAXBITS_ORDER = NBITS_ORDER;
ALICE = 0;
BOB = 1;
OALICE_BITS = 372;
OBOB_BITS = 379;
OBOB_EXPON = 239;
MASK_ALICE = 0x0F;
MASK_BOB = 0x03;
PARAM_A = 6;
PARAM_C = 1;
// Fixed parameters for isogeny tree computation
MAX_INT_POINTS_ALICE = 8;
MAX_INT_POINTS_BOB = 10;
MAX_Alice = 186;
MAX_Bob = 239;
MSG_BYTES = 32;
SECRETKEY_A_BYTES = ((OALICE_BITS + 7) / 8);
SECRETKEY_B_BYTES = ((OBOB_BITS - 1 + 7) / 8);
FP2_ENCODED_BYTES = 2*((NBITS_FIELD + 7) / 8);
PRIME = new long[] { 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xEEAFFFFFFFFFFFFFL,
0xE3EC968549F878A8L, 0xDA959B1A13F7CC76L, 0x084E9867D6EBE876L, 0x8562B5045CB25748L, 0x0E12909F97BADC66L, 0x00006FE5D541F71CL };
PRIMEx2 = new long[] { 0xFFFFFFFFFFFFFFFEL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xDD5FFFFFFFFFFFFFL,
0xC7D92D0A93F0F151L, 0xB52B363427EF98EDL, 0x109D30CFADD7D0EDL, 0x0AC56A08B964AE90L, 0x1C25213F2F75B8CDL, 0x0000DFCBAA83EE38L };
PRIMEx4 = new long[] { 0xFFFFFFFFFFFFFFFCL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xBABFFFFFFFFFFFFFL,
0x8FB25A1527E1E2A3L, 0x6A566C684FDF31DBL, 0x213A619F5BAFA1DBL, 0x158AD41172C95D20L, 0x384A427E5EEB719AL, 0x0001BF975507DC70L };
PRIMEp1 = new long[] { 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0xEEB0000000000000L,
0xE3EC968549F878A8L, 0xDA959B1A13F7CC76L, 0x084E9867D6EBE876L, 0x8562B5045CB25748L, 0x0E12909F97BADC66L, 0x00006FE5D541F71CL };
PRIMEx16p = new long[] { 0x0000000000000010L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x2A00000000000000L,
0x826D2F56C0F0EAE2L, 0xAD4C9CBD81067123L, 0xF62CF3052282F124L, 0x53A95F7469B516FEL, 0x3DADEC0D08A4732FL, 0x58AD934557C11C7EL,
0x7F731B89B2DA43F2L, 0x51AE9F5F5F6AFF3BL, 0xD74319A6C9BCA375L, 0x5BAB790796CF84D4L, 0xA421554FE2E49CA8L, 0x20AD617C8DF437CFL,
0x3AB06E7A12F5FF7BL, 0x70A25E037E40347EL, 0x51F1D323FB4C1151L, 0xAE0D99AA4835FED9L, 0xDF5429960D2536B6L, 0x000000030E91D466L };
Alice_order = new long[] { 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0010000000000000L };
Bob_order = new long[] { 0xC968549F878A8EEBL, 0x59B1A13F7CC76E3EL, 0xE9867D6EBE876DA9L, 0x2B5045CB25748084L, 0x2909F97BADC66856L, 0x06FE5D541F71C0E1L };
A_gen = new long[] { 0x884F46B74000BAA8L, 0xBA52630F939DEC20L, 0xC16FB97BA714A04DL, 0x082536745B1AB3DBL, 0x1117157F446F9E82L, 0xD2F27D621A018490L,
0x6B24AB523D544BCDL, 0x9307D6AA2EA85C94L, 0xE1A096729528F20FL, 0x896446F868F3255CL, 0x2401D996B1BFF8A5L, 0x00000EF8786A5C0AL, // XPA0
0xAEB78B3B96F59394L, 0xAB26681E29C90B74L, 0xE520AC30FDC4ACF1L, 0x870AAAE3A4B8111BL, 0xF875BDB738D64EFFL, 0x50109A7ECD7ED6BCL,
0x4CC64848FF0C56FBL, 0xE617CB6C519102C9L, 0x9C74B3835921E609L, 0xC91DDAE4A35A7146L, 0x7FC82A155C1B9129L, 0x0000214FA6B980B3L, // XPA1
0x0F93CC38680A8CA9L, 0x762E733822E7FED7L, 0xE549F005AC0ADB67L, 0x94A71FDD2C43A4EDL, 0xD48645C2B04721C5L, 0x432DA1FE4D4CA4DCL,
0xBC99655FAA7A80E8L, 0xB2C6D502BCFD4823L, 0xEE92F40CA2EC8BDBL, 0x7B074132EFB6D16CL, 0x3340B46FA38A7633L, 0x0000215749657F6CL, // XQA0
0xECFF375BF3079F4CL, 0xFBFE74B043E80EF3L, 0x17376CBE3C5C7AD1L, 0xC06327A7E29CDBF2L, 0x2111649C438BF3D4L, 0xC1F9298261BA2E97L,
0x1F9FECE869CFD1C2L, 0x01A39B4FC9346D62L, 0x147CD1D3E82A3C9FL, 0xDE84E9D249E533EEL, 0x1C48A5ADFB7C578DL, 0x000061ACA0B82E1DL, // XQA1
0x1600C525D41059F1L, 0xA596899A0A1D83F7L, 0x6BFDEED6D2B23F35L, 0x5C7E707270C23910L, 0x276CA1A4E8369411L, 0xB193651A602925A0L,
0x243D239F1CA1F04AL, 0x543DC6DA457860ADL, 0xCDA590F325181DE9L, 0xD3AB7ACFDA80B395L, 0x6C97468580FDDF7BL, 0x0000352A3E5C4C77L, // XRA0
0x9B794F9FD1CC3EE8L, 0xDB32E40A9B2FD23EL, 0x26192A2542E42B67L, 0xA18E94FCA045BCE7L, 0x96DC1BC38E7CDA2DL, 0x9A1D91B752487DE2L,
0xCC63763987436DA3L, 0x1316717AACCC551DL, 0xC4C368A4632AFE72L, 0x4B6EA85C9CCD5710L, 0x7A12CAD582C7BC9AL, 0x00001C7E240149BFL }; // XRA1
B_gen = new long[] { 0x85691AAF4015F88CL, 0x7478C5B8C36E9631L, 0x7EF2A185DE4DD6E2L, 0x943BBEE46BEB9DC7L, 0x1A3EC62798792D22L, 0x791BC4B084B31D69L,
0x03DBE6522CEA17C4L, 0x04749AA65D665D83L, 0x3D52B5C45EF450F3L, 0x0B4219848E36947DL, 0xA4CF7070466BDE27L, 0x0000334B1FA6D193L, // XPB0
0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L,
0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, // XPB1
0x8E7CB3FA53211340L, 0xD67CE54F7A05EEE0L, 0xFDDC2C8BCE46FC38L, 0x08587FAE3110DF1EL, 0xD6B8246FA22B058BL, 0x4DAC3ACC905A5DBDL,
0x51D0BF2FADCED3E8L, 0xE5A2406DF6484425L, 0x907F177584F671B8L, 0x4738A2FFCCED051CL, 0x2B0067B4177E4853L, 0x00002806AC948D3DL, // XQB0
0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L,
0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, // XQB1
0xB56457016D1D6D1CL, 0x03DECCB38F39C491L, 0xDFB910AC8A559452L, 0xA9D0F17D1FF24883L, 0x8562BBAF515C248CL, 0x249B2A6DDB1CB67DL,
0x3131AF96FB46835CL, 0xE10258398480C3E1L, 0xEAB5E2B872D4FAB1L, 0xB71E63875FAEB1DFL, 0xF8384D4F13757CF6L, 0x0000361EC9B09912L, // XRB0
0x58C967899ED16EF4L, 0x81998376DC622A4BL, 0x3D1C1DCFE0B12681L, 0x9347DEBB953E1730L, 0x9ABB344D3A82C2D7L, 0xE4881BD2820552B2L,
0x0037247923D90266L, 0x2E3156EDB157E5A5L, 0xF86A46A7506823F7L, 0x8FE5523A7B7F1CFCL, 0xFA3CFFA38372F67BL, 0x0000692DCE85FFBDL }; // XRB1
Montgomery_R2 = new long[] { 0x233046449DAD4058L, 0xDB010161A696452AL, 0x5E36941472E3FD8EL, 0xF40BFE2082A2E706L, 0x4932CCA8904F8751L, 0x1F735F1F1EE7FC81L,
0xA24F4D80C1048E18L, 0xB56C383CCDB607C5L, 0x441DD47B735F9C90L, 0x5673ED2C6A6AC82AL, 0x06C905261132294BL, 0x000041AD830F1F35L };
Montgomery_one = new long[] { 0x00000000000249adL, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x8310000000000000L,
0x5527b1e4375c6c66L, 0x697797bf3f4f24d0L, 0xc89db7b2ac5c4e2eL, 0x4ca4b439d2076956L, 0x10f7926c7512c7e9L, 0x00002d5b24bce5e2L };
strat_Alice = new int[] {
80, 48, 27, 15, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 7, 4, 2, 1, 1, 2, 1,
1, 3, 2, 1, 1, 1, 1, 12, 7, 4, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 5, 3, 2, 1, 1,
1, 1, 2, 1, 1, 1, 21, 12, 7, 4, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 5, 3, 2, 1,
1, 1, 1, 2, 1, 1, 1, 9, 5, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 1, 2, 1, 1,
33, 20, 12, 7, 4, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 5, 3, 2, 1, 1, 1, 1, 2, 1,
1, 1, 8, 5, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 16, 8, 4, 2, 1, 1,
1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1 };
strat_Bob = new int[] {
112, 63, 32, 16, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 8, 4, 2, 1, 1, 2, 1,
1, 4, 2, 1, 1, 2, 1, 1, 16, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 8, 4, 2,
1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 31, 16, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2,
1, 1, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 15, 8, 4, 2, 1, 1, 2, 1, 1, 4,
2, 1, 1, 2, 1, 1, 7, 4, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 49, 31, 16, 8, 4, 2,
1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1,
15, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 7, 4, 2, 1, 1, 2, 1, 1, 3, 2, 1,
1, 1, 1, 21, 12, 8, 4, 2, 1, 1, 2, 1, 1, 4, 2, 1, 1, 2, 1, 1, 5, 3, 2, 1, 1, 1, 1,
2, 1, 1, 1, 9, 5, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 1, 2, 1, 1 };
if(COMPRESS)
{
MASK2_BOB = 0x00;
MASK3_BOB = 0xFF;
ORDER_A_ENCODED_BYTES = SECRETKEY_A_BYTES;
ORDER_B_ENCODED_BYTES = SECRETKEY_B_BYTES;
PARTIALLY_COMPRESSED_CHUNK_CT = (4 * ORDER_A_ENCODED_BYTES + FP2_ENCODED_BYTES + 2);
COMPRESSED_CHUNK_CT = (3 * ORDER_A_ENCODED_BYTES + FP2_ENCODED_BYTES + 2);
UNCOMPRESSEDPK_BYTES = 564;
// Table sizes used by the Entangled basis generation
TABLE_R_LEN = 17;
TABLE_V_LEN = 34;
TABLE_V3_LEN = 20;
// Parameters for discrete log computations
// Binary Pohlig-Hellman reduced to smaller logs of order ell^W
W_2 = 4;
W_3 = 3;
// ell^w
ELL2_W = (1 << W_2);
ELL3_W = 27;
// ell^(e mod w)
ELL2_EMODW = (1 << (OALICE_BITS % W_2));
ELL3_EMODW = 9;
// # of digits in the discrete log
DLEN_2 = ((OALICE_BITS + W_2 - 1) / W_2);
DLEN_3 = ((OBOB_EXPON + W_3 - 1) / W_3);
PLEN_2 = 94;
PLEN_3 = 81;
// Import compression tables from properties
InputStream input = P751.class.getResourceAsStream("p751.properties");
Properties props = new Properties();
// load a properties file
try
{
props.load(input);
}
catch (IOException e)
{
throw new IllegalStateException("unable to load Picnic properties: " + e.getMessage(), e);
}
ph2_path = Internal.ReadIntsFromProperty(props,"ph2_path", PLEN_2);
ph3_path = Internal.ReadIntsFromProperty(props,"ph3_path", PLEN_3);
A_gen = Internal.ReadFromProperty(props,"A_gen", 6 * NWORDS64_FIELD);
B_gen = Internal.ReadFromProperty(props,"B_gen", 6 * NWORDS64_FIELD);
XQB3 = Internal.ReadFromProperty(props,"XQB3", 2 * NWORDS64_FIELD);
A_basis_zero = Internal.ReadFromProperty(props,"A_basis_zero", 8 * NWORDS64_FIELD);
B_basis_zero = Internal.ReadFromProperty(props,"B_basis_zero", 8 * NWORDS64_FIELD);
B_gen_3_tors = Internal.ReadFromProperty(props,"B_gen_3_tors", 16 * NWORDS64_FIELD);
g_R_S_im = Internal.ReadFromProperty(props,"g_R_S_im", NWORDS64_FIELD );
Montgomery_R2 = Internal.ReadFromProperty(props,"Montgomery_R2", NWORDS64_FIELD);
Montgomery_RB1 = Internal.ReadFromProperty(props,"Montgomery_RB1", NWORDS64_FIELD);
Montgomery_RB2 = Internal.ReadFromProperty(props,"Montgomery_RB2", NWORDS64_FIELD);
Montgomery_one = Internal.ReadFromProperty(props, "Montgomery_one", NWORDS64_FIELD);
threeinv = Internal.ReadFromProperty(props,"threeinv", NWORDS64_FIELD);
u_entang = Internal.ReadFromProperty(props,"u_entang", 2 * NWORDS64_FIELD);
u0_entang = Internal.ReadFromProperty(props,"u0_entang", 2 * NWORDS64_FIELD);
table_r_qr = Internal.ReadFromProperty(props,"table_r_qr", TABLE_R_LEN, NWORDS64_FIELD);
table_r_qnr = Internal.ReadFromProperty(props,"table_r_qnr", TABLE_R_LEN, NWORDS64_FIELD);
table_v_qr = Internal.ReadFromProperty(props,"table_v_qr", TABLE_V_LEN, NWORDS64_FIELD);
table_v_qnr = Internal.ReadFromProperty(props,"table_v_qnr", TABLE_V_LEN, NWORDS64_FIELD);
v_3_torsion = Internal.ReadFromProperty(props,"v_3_torsion", TABLE_V3_LEN, 2, NWORDS64_FIELD);
T_tate3 = Internal.ReadFromProperty(props,"T_tate3", (6 * (OBOB_EXPON - 1) + 4) * NWORDS64_FIELD);
T_tate2_firststep_P = Internal.ReadFromProperty(props,"T_tate2_firststep_P", 4 * NWORDS64_FIELD);
T_tate2_P = Internal.ReadFromProperty(props,"T_tate2_P", 3 * (OALICE_BITS - 2) * NWORDS64_FIELD);
T_tate2_firststep_Q = Internal.ReadFromProperty(props,"T_tate2_firststep_Q", 4 * NWORDS64_FIELD);
T_tate2_Q = Internal.ReadFromProperty(props,"T_tate2_Q", 3 * (OALICE_BITS - 2) * NWORDS64_FIELD);
ph2_T = Internal.ReadFromProperty(props,"ph2_T",DLEN_2*(ELL2_W >>> 1)*2*NWORDS64_FIELD);
ph3_T1 = Internal.ReadFromProperty(props, "ph3_T1", DLEN_3*(ELL3_W>>1)*2*NWORDS64_FIELD);
ph3_T2 = Internal.ReadFromProperty(props, "ph3_T2", DLEN_3*(ELL3_W>>1)*2*NWORDS64_FIELD);
Montgomery_R = new long[NWORDS64_FIELD];
ph2_T1 = new long[2*((DLEN_2 - 1)*(ELL2_W/2) + (ph2_path[PLEN_2 - 1]-1))];
ph2_T2 = new long[2*((DLEN_2 - 1)*(ELL2_W/2) + (ph2_path[PLEN_2 - 1]-1))];
ph3_T = new long[DLEN_3*(ELL3_W>>1)*2*NWORDS64_FIELD];
}
}
}
