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using System.Collections.Generic;
using System.IO;
namespace Org.BouncyCastle.Pqc.Crypto.Sike
{
internal class P434
: Internal
{
// Encoding of field elementsL, elements over Z_orderL, 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.L, little endian format).
// Elements (a+b*i) over GF(p^2)L, where a and b are defined over GF(p)L, are encoded as {aL, b}L, with a in the least significant position.
// Elliptic curve points P = (x,y) are encoded as {xL, y}L, with x in the least significant position.
// InternallyL, 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 exampleL, a 434-bit field element is represented with Ceil(434 / 64) = 7 64-bit digits or Ceil(434 / 32) = 14 32-bit digits.
//
// Curve isogeny system "SIDHp434". Base curve: Montgomery curve By^2 = Cx^3 + Ax^2 + Cx defined over GF(p434^2)L, where A=6L, B=1L, C=1 and p434 = 2^216*3^137-1
//
internal P434(bool isCompressed)
{
this.COMPRESS = isCompressed;
CRYPTO_SECRETKEYBYTES = 374;
CRYPTO_PUBLICKEYBYTES = 330;
CRYPTO_BYTES = 16;
CRYPTO_CIPHERTEXTBYTES = 346;
if (isCompressed)
{
CRYPTO_SECRETKEYBYTES = 350;
CRYPTO_PUBLICKEYBYTES = 197;
CRYPTO_CIPHERTEXTBYTES = 236;
}
this.NWORDS_FIELD = 7; // Number of words of a 434-bit field element
this.PRIME_ZERO_WORDS = 3; // Number of "0" digits in the least significant part of p434 + 1
// Basic constants
this.NBITS_FIELD = 434;
this.MAXBITS_FIELD = 448;
this.MAXWORDS_FIELD = ((MAXBITS_FIELD + RADIX - 1) / RADIX); // Max. number of words to represent field elements
this.NWORDS64_FIELD = ((NBITS_FIELD + 63) / 64); // Number of 64-bit words of a 434-bit field element;
this.NBITS_ORDER = 256;
this.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.;
this.NWORDS64_ORDER = ((NBITS_ORDER + 63) / 64); // Number of 64-bit words of a 224-bit element;
this.MAXBITS_ORDER = NBITS_ORDER;
this.ALICE = 0;
this.BOB = 1;
this.OALICE_BITS = 216;
this.OBOB_BITS = 218;
this.OBOB_EXPON = 137;
this.MASK_ALICE = 0xFF;
this.MASK_BOB = 0x01;
this.PARAM_A = 6;
this.PARAM_C = 1;
// Fixed parameters for isogeny tree computation
this.MAX_INT_POINTS_ALICE = 7;
this.MAX_INT_POINTS_BOB = 8;
this.MAX_Alice = 108;
this.MAX_Bob = 137;
this.MSG_BYTES = 16;
this.SECRETKEY_A_BYTES = ((OALICE_BITS + 7) / 8);
this.SECRETKEY_B_BYTES = ((OBOB_BITS - 1 + 7) / 8);
this.FP2_ENCODED_BYTES = 2 * ((NBITS_FIELD + 7) / 8);
PRIME = new ulong[]{0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFDC1767AE2FFFFFFL, 0x7BC65C783158AEA3L, 0x6CFC5FD681C52056L, 0x0002341F27177344L};
PRIMEx2 = new ulong[]{0xFFFFFFFFFFFFFFFEL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xFB82ECF5C5FFFFFFL, 0xF78CB8F062B15D47L, 0xD9F8BFAD038A40ACL, 0x0004683E4E2EE688L};
PRIMEx4 = new ulong[]{0xFFFFFFFFFFFFFFFCL, 0xFFFFFFFFFFFFFFFFL, 0xFFFFFFFFFFFFFFFFL, 0xF705D9EB8BFFFFFFL, 0xEF1971E0C562BA8FL, 0xB3F17F5A07148159L, 0x0008D07C9C5DCD11L};
PRIMEp1 = new ulong[]{0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0xFDC1767AE3000000L, 0x7BC65C783158AEA3L, 0x6CFC5FD681C52056L, 0x0002341F27177344L};
PRIMEx16p = new ulong[]{0x0000000000000010L, 0x0000000000000000L, 0x0000000000000000L, 0x47D130A3A0000000L, 0x873470F9D4EA2B80L, 0x6074052FC75BF530L, 0x54497C1B1D119772L, 0xC55F373D2CDCA412L, 0x732CA2221C664B96L, 0x6445AB96AF6359A5L, 0x221708AB42ABE1B4L, 0xAE3D3D0063244F01L, 0x18B920F2ECF68816L, 0x0000004DB194809DL};
Alice_order = new ulong[]{0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000001000000};
Bob_order = new ulong[]{0x58AEA3FDC1767AE3L, 0xC520567BC65C7831L, 0x1773446CFC5FD681L, 0x0000000002341F27};
A_gen = new ulong[]{0x05ADF455C5C345BFL, 0x91935C5CC767AC2BL, 0xAFE4E879951F0257L, 0x70E792DC89FA27B1L, 0xF797F526BB48C8CDL, 0x2181DB6131AF621FL, 0x00000A1C08B1ECC4L, 0x74840EB87CDA7788L, 0x2971AA0ECF9F9D0BL, 0xCB5732BDF41715D5L, 0x8CD8E51F7AACFFAAL, 0xA7F424730D7E419FL, 0xD671EB919A179E8CL, 0x0000FFA26C5A924AL, 0xFEC6E64588B7273BL, 0xD2A626D74CBBF1C6L, 0xF8F58F07A78098C7L, 0xE23941F470841B03L, 0x1B63EDA2045538DDL, 0x735CFEB0FFD49215L, 0x0001C4CB77542876L, 0xADB0F733C17FFDD6L, 0x6AFFBD037DA0A050L, 0x680EC43DB144E02FL, 0x1E2E5D5FF524E374L, 0xE2DDA115260E2995L, 0xA6E4B552E2EDE508L, 0x00018ECCDDF4B53EL, 0x01BA4DB518CD6C7DL, 0x2CB0251FE3CC0611L, 0x259B0C6949A9121BL, 0x60E17AC16D2F82ADL, 0x3AA41F1CE175D92DL, 0x413FBE6A9B9BC4F3L, 0x00022A81D8D55643L, 0xB8ADBC70FC82E54AL, 0xEF9CDDB0D5FADDEDL, 0x5820C734C80096A0L, 0x7799994BAA96E0E4L, 0x044961599E379AF8L, 0xDB2B94FBF09F27E2L, 0x0000B87FC716C0C6L};
B_gen = new ulong[]{0x6E5497556EDD48A3L, 0x2A61B501546F1C05L, 0xEB919446D049887DL, 0x5864A4A69D450C4FL, 0xB883F276A6490D2BL, 0x22CC287022D5F5B9L, 0x0001BED4772E551FL, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0xFAE2A3F93D8B6B8EL, 0x494871F51700FE1CL, 0xEF1A94228413C27CL, 0x498FF4A4AF60BD62L, 0xB00AD2A708267E8AL, 0xF4328294E017837FL, 0x000034080181D8AEL, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x0000000000000000L, 0x283B34FAFEFDC8E4L, 0x9208F44977C3E647L, 0x7DEAE962816F4E9AL, 0x68A2BA8AA262EC9DL, 0x8176F112EA43F45BL, 0x02106D022634F504L, 0x00007E8A50F02E37L, 0xB378B7C1DA22CCB1L, 0x6D089C99AD1D9230L, 0xEBE15711813E2369L, 0x2B35A68239D48A53L, 0x445F6FD138407C93L, 0xBEF93B29A3F6B54BL, 0x000173FA910377D3L}; // XRB1
Montgomery_R2 = new ulong[]{0x28E55B65DCD69B30L, 0xACEC7367768798C2L, 0xAB27973F8311688DL, 0x175CC6AF8D6C7C0BL, 0xABCD92BF2DDE347EL, 0x69E16A61C7686D9AL, 0x000025A89BCDD12AL};
Montgomery_one = new ulong[]{0x000000000000742CL, 0x0000000000000000L, 0x0000000000000000L, 0xB90FF404FC000000L, 0xD801A4FB559FACD4L, 0xE93254545F77410CL, 0x0000ECEEA7BD2EDAL};
strat_Alice = new uint[]{48, 28, 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, 13, 7, 4, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 5, 4, 2, 1, 1, 2, 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};
strat_Bob = new uint[]{66, 33, 17, 9, 5, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 1, 2, 1, 1, 8, 4, 2, 1, 1, 1, 2, 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, 32, 16, 8, 4, 3, 1, 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, 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};
if (isCompressed)
{
this.MASK2_BOB = 0x00;
this.MASK3_BOB = 0x7F;
this.ORDER_A_ENCODED_BYTES = SECRETKEY_A_BYTES;
this.ORDER_B_ENCODED_BYTES = SECRETKEY_B_BYTES;
this.PARTIALLY_COMPRESSED_CHUNK_CT = (4 * ORDER_A_ENCODED_BYTES + FP2_ENCODED_BYTES + 2);
this.COMPRESSED_CHUNK_CT = (3 * ORDER_A_ENCODED_BYTES + FP2_ENCODED_BYTES + 2);
this.UNCOMPRESSEDPK_BYTES = 330;
// Table sizes used by the Entangled basis generation
this.TABLE_R_LEN = 17;
this.TABLE_V_LEN = 34;
this.TABLE_V3_LEN = 20;
// Parameters for discrete log computations
// Binary Pohlig-Hellman reduced to smaller logs of order ell^W
this.W_2 = 4;
this.W_3 = 3;
// ell^w
this.ELL2_W = (uint) (1 << (int)W_2); //todo check
this.ELL3_W = 27;
// ell^(e mod w)
this.ELL2_EMODW = (uint) (1 << (int)(OALICE_BITS % W_2));
this.ELL3_EMODW = 9;
// # of digits in the discrete log
this.DLEN_2 = ((OALICE_BITS + W_2 - 1) / W_2); // ceil(eA/W_2)
this.DLEN_3 = ((OBOB_EXPON + W_3 - 1) / W_3); // ceil(eB/W_3)
this.PLEN_2 = 55;
this.PLEN_3 = 47;
// Import compression tables from properties
var props = new Dictionary<string, string>();
Stream input = typeof(P434).Assembly
.GetManifestResourceStream("Org.BouncyCastle.pqc.crypto.sike.p434.properties");
using (StreamReader sr = new StreamReader(input))
{
int i = 0;
// load a properties file
string line = sr.ReadLine();
string matrix, hexString;
while (line != null)
{
string header = line;
if (header != "")
{
if (i > 1)
{
header = header.Replace(",", "");
}
int index = header.IndexOf('=');
matrix = header.Substring(0, index).Trim();
hexString = header.Substring(index + 1).Trim();
props.Add(matrix, hexString);
i++;
}
line = sr.ReadLine();
}
}
ph2_path = ReadIntsFromProperty(props, "ph2_path", PLEN_2);
ph3_path = ReadIntsFromProperty(props, "ph3_path", PLEN_3);
A_gen = ReadFromProperty(props, "A_gen", 6 * NWORDS64_FIELD);
B_gen = ReadFromProperty(props, "B_gen", 6 * NWORDS64_FIELD);
XQB3 = ReadFromProperty(props, "XQB3", 2 * NWORDS64_FIELD);
A_basis_zero = ReadFromProperty(props, "A_basis_zero", 8 * NWORDS64_FIELD);
B_basis_zero = ReadFromProperty(props, "B_basis_zero", 8 * NWORDS64_FIELD);
B_gen_3_tors = ReadFromProperty(props, "B_gen_3_tors", 16 * NWORDS64_FIELD);
g_R_S_im = ReadFromProperty(props, "g_R_S_im", NWORDS64_FIELD );
g_phiR_phiS_re = ReadFromProperty(props, "g_phiR_phiS_re", NWORDS64_FIELD);
g_phiR_phiS_im = ReadFromProperty(props, "g_phiR_phiS_im", NWORDS64_FIELD);
Montgomery_RB1 = ReadFromProperty(props, "Montgomery_RB1", NWORDS64_FIELD);
Montgomery_RB2 = ReadFromProperty(props, "Montgomery_RB2", NWORDS64_FIELD);
threeinv = ReadFromProperty(props, "threeinv", NWORDS64_FIELD);
u_entang = ReadFromProperty(props, "u_entang", 2 * NWORDS64_FIELD);
u0_entang = ReadFromProperty(props, "u0_entang", 2 * NWORDS64_FIELD);
table_r_qr = ReadFromProperty(props, "table_r_qr", TABLE_R_LEN, NWORDS64_FIELD);
table_r_qnr = ReadFromProperty(props, "table_r_qnr", TABLE_R_LEN, NWORDS64_FIELD);
table_v_qr = ReadFromProperty(props, "table_v_qr", TABLE_V_LEN, NWORDS64_FIELD);
table_v_qnr = ReadFromProperty(props, "table_v_qnr", TABLE_V_LEN, NWORDS64_FIELD);
v_3_torsion = ReadFromProperty(props, "v_3_torsion", TABLE_V3_LEN, 2, NWORDS64_FIELD);
T_tate3 = ReadFromProperty(props, "T_tate3", (6 * (OBOB_EXPON - 1) + 4) * NWORDS64_FIELD);
T_tate2_firststep_P = ReadFromProperty(props, "T_tate2_firststep_P", 4 * NWORDS64_FIELD);
T_tate2_P = ReadFromProperty(props, "T_tate2_P", 3 * (OALICE_BITS - 2) * NWORDS64_FIELD);
T_tate2_firststep_Q = ReadFromProperty(props, "T_tate2_firststep_Q", 4 * NWORDS64_FIELD);
T_tate2_Q = ReadFromProperty(props, "T_tate2_Q", 3 * (OALICE_BITS - 2) * NWORDS64_FIELD);
ph2_T = ReadFromProperty(props, "ph2_T",DLEN_2*(ELL2_W >> 1)*2*NWORDS64_FIELD);
ph3_T1 = ReadFromProperty(props, "ph3_T1",DLEN_3*(ELL3_W >> 1)*2*NWORDS64_FIELD);
ph3_T2 = ReadFromProperty(props, "ph3_T2",DLEN_3*(ELL3_W >> 1)*2*NWORDS64_FIELD);
ph2_T1 = new ulong[2*((DLEN_2 - 1)*(ELL2_W/2) + (ph2_path[PLEN_2 - 1]-1))];
ph2_T2 = new ulong[2*((DLEN_2 - 1)*(ELL2_W/2) + (ph2_path[PLEN_2 - 1]-1))];
ph3_T= new ulong[2*((DLEN_3 - 1)*(ELL3_W/2) + (ph3_path[PLEN_3 - 1]-1))];
}
}
}
}
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