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test_section4.1_selfdual.py
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test_section4.1_selfdual.py
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#!/usr/bin/sage -python
# -*- coding: utf8 -*-
# ++++++++++
# IMPORTANT: This example is expected to run in polynomial time but not necessary for too much small values of q and n
# ++++++++++
from lib import (
sample_permutation_matrix,
algorithm_selfdual,
is_monomial,
)
# SageMath imports
from sage.all import (
matrix,
FiniteField,
)
def main(code, q, Parallel=False):
k, n = code.dimensions()
print(f'\ncode dimension, k:\t{k}')
print(f'code length, n:\t\t{n}')
print(f'Field size, q:\t\t{q}\n')
print(f'\nOriginal code:\n{code}\n')
def setup():
Gs = []
for _ in range(0, 2, 1):
Gs.append((code * sample_permutation_matrix(n, q)).rref())
assert(not Gs[-1] * Gs[-1].transpose()) # Is self-dual?
M = sample_permutation_matrix(n, q)
Gs_ = []
for i in range(0, 2, 1):
Gs_.append((Gs[i] * M).rref())
print(f'\nSecret permutation matrix, Q:\n{M}\n')
return Gs, Gs_
Gs, Gs_ = setup()
# Recover permutation matrix
Q_ = algorithm_selfdual(k, n, q, Gs[0], Gs_[0], Gs[1], Gs_[1], Parallel=Parallel)
if Q_ is None:
return False
print(f'Recovered permutation matrix, Q\':\n{Q_}')
return (Gs[0] * Q_).rref() == Gs_[0] and (Gs[1] * Q_).rref() == Gs_[1] and is_monomial(Q_, n)
if __name__ == '__main__':
q = 7
code7_4 = matrix(FiniteField(q), 2, 4, [
6,5,1,1,
1,6,5,1
])
code7_12 = matrix(FiniteField(q), 6, 12, [
2,6,1,0,0,0,0,1,1,5,3,0,
0,2,5,0,0,0,0,1,1,1,6,3,
1,5,3,0,2,6,1,0,0,0,0,1,
1,1,6,3,0,2,5,0,0,0,0,1,
0,0,0,1,1,5,3,0,2,6,1,0,
0,0,0,1,1,1,6,3,0,2,5,0
])
code7_16 = matrix(FiniteField(q), 8, 16, [
2,6,1,0,0,0,0,0,0,0,0,1,1,5,3,0,
0,2,5,0,0,0,0,0,0,0,0,1,1,1,6,3,
1,5,3,0,2,6,1,0,0,0,0,0,0,0,0,1,
1,1,6,3,0,2,5,0,0,0,0,0,0,0,0,1,
0,0,0,1,1,5,3,0,2,6,1,0,0,0,0,0,
0,0,0,1,1,1,6,3,0,2,5,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,5,3,0,2,6,1,0,
0,0,0,0,0,0,0,1,1,1,6,3,0,2,5,0
])
code7_24 = matrix(FiniteField(q), 12, 24, [
4,5,5,2,3,2,5,0,1,3,1,4,4,0,0,1,1,4,2,1,0,5,2,0,
6,4,5,1,3,0,2,3,6,4,0,2,2,4,0,6,3,5,0,4,2,3,5,6,
0,5,2,0,4,5,5,2,3,2,5,0,1,3,1,4,4,0,0,1,1,4,2,1,
2,3,5,6,6,4,5,1,3,0,2,3,6,4,0,2,2,4,0,6,3,5,0,4,
1,4,2,1,0,5,2,0,4,5,5,2,3,2,5,0,1,3,1,4,4,0,0,1,
3,5,0,4,2,3,5,6,6,4,5,1,3,0,2,3,6,4,0,2,2,4,0,6,
4,0,0,1,1,4,2,1,0,5,2,0,4,5,5,2,3,2,5,0,1,3,1,4,
2,4,0,6,3,5,0,4,2,3,5,6,6,4,5,1,3,0,2,3,6,4,0,2,
1,3,1,4,4,0,0,1,1,4,2,1,0,5,2,0,4,5,5,2,3,2,5,0,
6,4,0,2,2,4,0,6,3,5,0,4,2,3,5,6,6,4,5,1,3,0,2,3,
3,2,5,0,1,3,1,4,4,0,0,1,1,4,2,1,0,5,2,0,4,5,5,2,
3,0,2,3,6,4,0,2,2,4,0,6,3,5,0,4,2,3,5,6,6,4,5,1
])
code7_28 = matrix(FiniteField(q), 14, 28, [
3,6,1,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,
5,2,5,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,
3,4,3,6,3,6,1,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,
0,5,3,5,5,2,5,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,
4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,
3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,
5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,1,1,6,4,3,4,1,2,3,
3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,1,1,2,0,2,4,2,2,5,
4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,1,1,6,4,3,
4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,1,1,2,0,2,
1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,1,
1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,1,
0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,
0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0
])
code7_36 = matrix(FiniteField(q), 18, 36, [
1,1,3,1,6,1,6,5,1,4,4,2,4,0,0,1,5,2,6,3,1,5,0,4,0,0,1,3,4,1,1,4,1,0,4,4,
5,0,4,0,0,3,6,3,3,5,3,3,5,2,1,0,0,5,3,3,3,4,0,2,2,2,5,4,5,1,1,1,5,1,6,2,
1,0,4,4,1,1,3,1,6,1,6,5,1,4,4,2,4,0,0,1,5,2,6,3,1,5,0,4,0,0,1,3,4,1,1,4,
5,1,6,2,5,0,4,0,0,3,6,3,3,5,3,3,5,2,1,0,0,5,3,3,3,4,0,2,2,2,5,4,5,1,1,1,
4,1,1,4,1,0,4,4,1,1,3,1,6,1,6,5,1,4,4,2,4,0,0,1,5,2,6,3,1,5,0,4,0,0,1,3,
5,1,1,1,5,1,6,2,5,0,4,0,0,3,6,3,3,5,3,3,5,2,1,0,0,5,3,3,3,4,0,2,2,2,5,4,
0,0,1,3,4,1,1,4,1,0,4,4,1,1,3,1,6,1,6,5,1,4,4,2,4,0,0,1,5,2,6,3,1,5,0,4,
2,2,5,4,5,1,1,1,5,1,6,2,5,0,4,0,0,3,6,3,3,5,3,3,5,2,1,0,0,5,3,3,3,4,0,2,
1,5,0,4,0,0,1,3,4,1,1,4,1,0,4,4,1,1,3,1,6,1,6,5,1,4,4,2,4,0,0,1,5,2,6,3,
3,4,0,2,2,2,5,4,5,1,1,1,5,1,6,2,5,0,4,0,0,3,6,3,3,5,3,3,5,2,1,0,0,5,3,3,
5,2,6,3,1,5,0,4,0,0,1,3,4,1,1,4,1,0,4,4,1,1,3,1,6,1,6,5,1,4,4,2,4,0,0,1,
0,5,3,3,3,4,0,2,2,2,5,4,5,1,1,1,5,1,6,2,5,0,4,0,0,3,6,3,3,5,3,3,5,2,1,0,
4,0,0,1,5,2,6,3,1,5,0,4,0,0,1,3,4,1,1,4,1,0,4,4,1,1,3,1,6,1,6,5,1,4,4,2,
5,2,1,0,0,5,3,3,3,4,0,2,2,2,5,4,5,1,1,1,5,1,6,2,5,0,4,0,0,3,6,3,3,5,3,3,
1,4,4,2,4,0,0,1,5,2,6,3,1,5,0,4,0,0,1,3,4,1,1,4,1,0,4,4,1,1,3,1,6,1,6,5,
3,5,3,3,5,2,1,0,0,5,3,3,3,4,0,2,2,2,5,4,5,1,1,1,5,1,6,2,5,0,4,0,0,3,6,3,
6,1,6,5,1,4,4,2,4,0,0,1,5,2,6,3,1,5,0,4,0,0,1,3,4,1,1,4,1,0,4,4,1,1,3,1,
0,3,6,3,3,5,3,3,5,2,1,0,0,5,3,3,3,4,0,2,2,2,5,4,5,1,1,1,5,1,6,2,5,0,4,0
])
code7_40 = matrix(FiniteField(q), 20, 40, [
6,0,1,3,0,2,3,1,4,5,1,5,2,0,6,3,6,0,1,3,0,0,1,6,5,4,0,3,3,4,4,0,6,6,3,0,2,2,1,1,
4,5,3,1,0,3,5,6,5,0,2,4,1,2,4,5,6,3,3,2,6,2,2,0,0,6,1,2,5,5,6,5,4,5,0,5,2,3,5,5,
2,2,1,1,6,0,1,3,0,2,3,1,4,5,1,5,2,0,6,3,6,0,1,3,0,0,1,6,5,4,0,3,3,4,4,0,6,6,3,0,
2,3,5,5,4,5,3,1,0,3,5,6,5,0,2,4,1,2,4,5,6,3,3,2,6,2,2,0,0,6,1,2,5,5,6,5,4,5,0,5,
6,6,3,0,2,2,1,1,6,0,1,3,0,2,3,1,4,5,1,5,2,0,6,3,6,0,1,3,0,0,1,6,5,4,0,3,3,4,4,0,
4,5,0,5,2,3,5,5,4,5,3,1,0,3,5,6,5,0,2,4,1,2,4,5,6,3,3,2,6,2,2,0,0,6,1,2,5,5,6,5,
3,4,4,0,6,6,3,0,2,2,1,1,6,0,1,3,0,2,3,1,4,5,1,5,2,0,6,3,6,0,1,3,0,0,1,6,5,4,0,3,
5,5,6,5,4,5,0,5,2,3,5,5,4,5,3,1,0,3,5,6,5,0,2,4,1,2,4,5,6,3,3,2,6,2,2,0,0,6,1,2,
5,4,0,3,3,4,4,0,6,6,3,0,2,2,1,1,6,0,1,3,0,2,3,1,4,5,1,5,2,0,6,3,6,0,1,3,0,0,1,6,
0,6,1,2,5,5,6,5,4,5,0,5,2,3,5,5,4,5,3,1,0,3,5,6,5,0,2,4,1,2,4,5,6,3,3,2,6,2,2,0,
0,0,1,6,5,4,0,3,3,4,4,0,6,6,3,0,2,2,1,1,6,0,1,3,0,2,3,1,4,5,1,5,2,0,6,3,6,0,1,3,
6,2,2,0,0,6,1,2,5,5,6,5,4,5,0,5,2,3,5,5,4,5,3,1,0,3,5,6,5,0,2,4,1,2,4,5,6,3,3,2,
6,0,1,3,0,0,1,6,5,4,0,3,3,4,4,0,6,6,3,0,2,2,1,1,6,0,1,3,0,2,3,1,4,5,1,5,2,0,6,3,
6,3,3,2,6,2,2,0,0,6,1,2,5,5,6,5,4,5,0,5,2,3,5,5,4,5,3,1,0,3,5,6,5,0,2,4,1,2,4,5,
2,0,6,3,6,0,1,3,0,0,1,6,5,4,0,3,3,4,4,0,6,6,3,0,2,2,1,1,6,0,1,3,0,2,3,1,4,5,1,5,
1,2,4,5,6,3,3,2,6,2,2,0,0,6,1,2,5,5,6,5,4,5,0,5,2,3,5,5,4,5,3,1,0,3,5,6,5,0,2,4,
4,5,1,5,2,0,6,3,6,0,1,3,0,0,1,6,5,4,0,3,3,4,4,0,6,6,3,0,2,2,1,1,6,0,1,3,0,2,3,1,
5,0,2,4,1,2,4,5,6,3,3,2,6,2,2,0,0,6,1,2,5,5,6,5,4,5,0,5,2,3,5,5,4,5,3,1,0,3,5,6,
0,2,3,1,4,5,1,5,2,0,6,3,6,0,1,3,0,0,1,6,5,4,0,3,3,4,4,0,6,6,3,0,2,2,1,1,6,0,1,3,
0,3,5,6,5,0,2,4,1,2,4,5,6,3,3,2,6,2,2,0,0,6,1,2,5,5,6,5,4,5,0,5,2,3,5,5,4,5,3,1
])
code7_44 = matrix(FiniteField(q), 22, 44, [
0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,
2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,
6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,
6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,
4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,
0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,
4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,
0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,
3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,
2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,
2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,
6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,
0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,
0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,
4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,6,5,4,5,
3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,2,6,5,0,
6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,6,5,5,0,
2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,2,4,1,2,
6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,6,3,3,0,
2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2,3,2,5,1,
6,3,3,0,6,5,5,0,6,5,4,5,4,6,1,0,0,6,6,0,2,0,1,2,3,2,0,4,4,3,3,5,4,6,3,0,6,2,2,0,0,6,0,2,
3,2,5,1,2,4,1,2,2,6,5,0,3,2,5,0,0,6,6,4,6,5,5,1,2,0,4,5,0,2,5,6,0,6,0,1,6,3,4,6,2,5,5,2
])
code7_52 = matrix(FiniteField(q), 26, 52, [
3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,
5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,
3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,
0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,
4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,
3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,
5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,
3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,
4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,
4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,
1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,4,3,4,1,2,3,5,4,0,3,4,1,5,0,3,4,3,6,3,6,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,4,2,2,5,3,6,2,0,3,3,3,2,0,5,3,5,5,2,5,0
])
code7_56 = matrix(FiniteField(q), 28, 56, [
5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,
0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,
2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,
1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,
3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,
2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,
6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,
1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,
3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,
6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,
0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,0,3,5,6,4,2,2,3,0,5,3,2,5,4,0,5,1,6,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,0,2,1,4,2,4,2,5,0,3,1,1,1,4,0,5,2,0
])
n_tests = 100
for code in (code7_16,):
success = 0
failure = 0
print(f'Running {n_tests} tests')
for x in range(n_tests):
if main(code, q, Parallel=True):
success = success + 1
else:
failure = failure + 1
print(f'\nSuccess: {success}, Failure: {failure}')