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second-round version of SQIsign

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Co-authored-by: Marius A. Aardal <marius.andre.aardal@gmail.com>
Co-authored-by: Gora Adj <gora.adj@tii.ae>
Co-authored-by: Diego F. Aranha <dfaranha@cs.au.dk>
Co-authored-by: Andrea Basso <sqisign@andreabasso.com>
Co-authored-by: Isaac Andrés Canales Martínez <icanalesm0500@gmail.com>
Co-authored-by: Jorge Chávez-Saab <jorgechavezsaab@gmail.com>
Co-authored-by: Maria Corte-Real Santos <mariascrsantos98@gmail.com>
Co-authored-by: Luca De Feo <github@defeo.lu>
Co-authored-by: Max Duparc <max.duparc@epfl.ch>
Co-authored-by: Jonathan Komada Eriksen <jonathan.eriksen97@gmail.com>
Co-authored-by: Décio Luiz Gazzoni Filho <decio@decpp.net>
Co-authored-by: Basil Hess <bhe@zurich.ibm.com>
Co-authored-by: Antonin Leroux <antonin.leroux@polytechnique.org>
Co-authored-by: Patrick Longa <plonga@microsoft.com>
Co-authored-by: Luciano Maino <mainoluciano.96@gmail.com>
Co-authored-by: Michael Meyer <michael@random-oracles.org>
Co-authored-by: Hiroshi Onuki <onuki@mist.i.u-tokyo.ac.jp>
Co-authored-by: Lorenz Panny <lorenz@yx7.cc>
Co-authored-by: Giacomo Pope <giacomopope@gmail.com>
Co-authored-by: Krijn Reijnders <reijnderskrijn@gmail.com>
Co-authored-by: Damien Robert <damien.robert@inria.fr>
Co-authored-by: Francisco Rodríguez-Henriquez <francisco.rodriguez@tii.ae>
Co-authored-by: Sina Schaeffler <sschaeffle@student.ethz.ch>
Co-authored-by: Benjamin Wesolowski <benjamin.wesolowski@ens-lyon.fr>
This commit is contained in:
SQIsign team
2025-02-06 00:00:00 +00:00
committed by Lorenz Panny
parent ff34a8cd18
commit 91e9e464fe
481 changed files with 80785 additions and 55963 deletions
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158
scripts/precomp/precompute_hd_splitting.sage Executable file
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#!/usr/bin/env sage
proof.all(False) # faster
################################################################
from parameters import p
# Field
Fp2.<i> = GF((p,2), modulus=[1,0,1])
Fp2_constants = [
[Fp2(0), Fp2(1), Fp2(i), Fp2(-1), Fp2(-i)],
["FP2_ZERO", "FP2_ONE", "FP2_I", "FP2_MINUS_ONE", "FP2_MINUS_I"]
]
################################################################
from cformat import FpEl
def Fp2_to_list(el):
return [FpEl(int(c), p, True) for c in Fp2(el)]
def Fp2_to_name(el):
return Fp2_constants[1][Fp2_constants[0].index(el)]
################################################################
# Splitting Data
chi_eval = [
[1,1,1,1],
[1,-1,1,-1],
[1,1,-1,-1],
[1,-1,-1,1]
]
even_indices = [
[0, 0],
[0, 1],
[0, 2],
[0, 3],
[1, 0],
[1, 2],
[2, 0],
[2, 1],
[3, 0],
[3, 3],
]
splitting_map = {
(0, 2): [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 1], [0, 0, -1, 0]],
(3, 3): [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]],
(0, 3): [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, -1]],
(2, 1): [[1, 1, 1, 1], [1, -1, 1, -1], [1, -1, -1, 1], [1, 1, -1, -1]],
(0, 1): [[1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 1, 0], [0, -1, 0, 0]],
(1, 2): [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 1], [0, 0, 1, 0]],
(2, 0): [[1, 1, 1, 1], [1, -1, 1, -1], [1, -1, -1, 1], [-1, -1, 1, 1]],
(3, 0): [[1, 1, 1, 1], [1, -1, 1, -1], [1, 1, -1, -1], [-1, 1, 1, -1]],
(1, 0): [[1, 1, 1, 1], [1, -1, -1, 1], [1, 1, -1, -1], [-1, 1, -1, 1]],
(0, 0): [[1, i, 1, i], [1, -i, -1, i], [1, i, -1, -i], [-1, i, -1, i]],
}
# 24 2x2 maps used for normalization. Applying a uniform matrix to a level 2
# theta null point ensure that we get a random theta null point in the
# equivalence class of Γ/Γ(2,4)
full_normalization_maps_2d = [
matrix(2, 2, [1, 0, 0, 1]),
matrix(2, 2, [0, 1, 1, 0]),
matrix(2, 2, [1, 0, 0, -1]),
matrix(2, 2, [0, 1, -1, 0]),
matrix(2, 2, [1, 1, 1, -1]),
matrix(2, 2, [1, -1, 1, 1]),
matrix(2, 2, [1, 1, -1, 1]),
matrix(2, 2, [-1, 1, 1, 1]),
matrix(2, 2, [1, 0, 0, i]),
matrix(2, 2, [0, i, 1, 0]),
matrix(2, 2, [1, 0, 0, -i]),
matrix(2, 2, [0, i, -1, 0]),
matrix(2, 2, [i, 1, 1, i]),
matrix(2, 2, [1, i, i, 1]),
matrix(2, 2, [i, 1, -1, -i]),
matrix(2, 2, [1, i, -i, -1]),
matrix(2, 2, [1, i, 1, -i]),
matrix(2, 2, [1, -i, 1, i]),
matrix(2, 2, [1, i, -1, i]),
matrix(2, 2, [1, -i, -1, -i]),
matrix(2, 2, [1, 1, i, -i]),
matrix(2, 2, [i, -i, 1, 1]),
matrix(2, 2, [1, 1, -i, i]),
matrix(2, 2, [i, -i, -1, -1]),
]
# 6 2x2 maps used for normalisation. A subset of the preceding 24 matrices,
# that are sufficient to ensure uniform normalisation (under Γ/Γ^0(4))
# when using the Montgomery model
normalization_maps_2d = [
matrix(2, 2, [1, 0, 0, 1]),
matrix(2, 2, [0, 1, 1, 0]),
matrix(2, 2, [1, 1, 1, -1]),
matrix(2, 2, [-1, 1, 1, 1]),
matrix(2, 2, [i, 1, 1, i]),
matrix(2, 2, [1, i, i, 1]),
]
# Format from dictionary to list of lists
splitting_matrices = []
for ind in even_indices:
# Create a list of all ten matrices (represented as 4x4 matrices)
splitting_matrices.append([[Fp2_to_name(Fp2(x)) for x in row] for row in splitting_map[tuple(ind)]])
# 6 4x4 maps constructed from the above
normalization_maps_4d = []
for m in normalization_maps_2d:
M = m.tensor_product(m, subdivide=False).list()
matrix_elements_list = list(map(Fp2, M))
# Reshape into matrix
matrix_elements = [ matrix_elements_list[i:i+4] for i in range(0, len(matrix_elements_list), 4) ]
normalization_maps_4d.append([[Fp2_to_name(x) for x in row] for row in matrix_elements])
################################################################
from cformat import Object, ObjectFormatter
objs = ObjectFormatter(
[
Object('int[][]', 'EVEN_INDEX', even_indices),
Object('int[][]', 'CHI_EVAL', chi_eval),
Object('fp2_t[]', 'FP2_CONSTANTS', list(map(Fp2_to_list, Fp2_constants[0]))),
Object('precomp_basis_change_matrix_t[]', 'SPLITTING_TRANSFORMS', [[x] for x in splitting_matrices]),
Object('precomp_basis_change_matrix_t[]', 'NORMALIZATION_TRANSFORMS', [[x] for x in normalization_maps_4d]),
]
)
with open("include/hd_splitting_transforms.h", "w") as hfile:
with open("hd_splitting_transforms.c", "w") as cfile:
print("#ifndef HD_SPLITTING_H", file=hfile)
print("#define HD_SPLITTING_H", file=hfile)
print(f"\n#include <hd.h>", file=hfile)
print(f"#include <stdint.h>\n", file=hfile)
print("typedef struct precomp_basis_change_matrix {", file=hfile)
print(" uint8_t m[4][4];", file=hfile)
print("} precomp_basis_change_matrix_t;\n", file=hfile)
print(f"#include <hd_splitting_transforms.h>\n", file=cfile)
for i in range(len(Fp2_constants[1])):
print(f"#define {Fp2_constants[1][i]} {i}", file=cfile)
print("", file=cfile)
objs.header(file=hfile)
objs.implementation(file=cfile)
print("\n#endif\n", file=hfile)