def test_ea_permutations():
for N in [4, 5]:
F = GF(2**N, name="a")
inv = [(F.fetch_int(x)**(2**N - 2)).integer_representation()
for x in xrange(0, 2**N)]
print("== " + str(N))
for L in ea_equivalent_permutation_mappings(inv):
print(L.str() + "\n")
def test_enumerate_ea():
N = 8
F = GF(2**N, name="a")
# generating the Kim mapping
kim = []
for x_i in xrange(0, 2**N):
x = F.fetch_int(x_i)
y = x**3 + x**10 + F.gen()*x**24
kim.append(y.integer_representation())
classes = enumerate_ea_classes(kim)
for f in classes:
print algebraic_degree(f), pretty_spectrum(thickness_spectrum(f))
print "total: ", len(classes)
def test_ccz_permutations(number="all permutations"):
N = 6
F = GF(2**N, name="a")
# generating the Kim mapping
kim = []
for x_i in xrange(0, 2**N):
x = F.fetch_int(x_i)
y = x**3 + x**10 + F.gen() * x**24
kim.append(y.integer_representation())
permutations = ccz_equivalent_permutations(kim, number=number)
for i, p in enumerate(permutations):
print("{:2d} {} {} {}".format(
i, is_permutation(p), pretty_spectrum(differential_spectrum(p)),
pretty_vector(p)))
print("total: {}".format(len(permutations)))
def test_ea_classes():
N = 8
F = GF(2**N, name="a")
# generating the Kim mapping
kim = []
for x_i in xrange(0, 2**N):
x = F.fetch_int(x_i)
y = x**3 + x**10 + F.gen()*x**24
kim.append(y.integer_representation())
total = 0
for f in ea_classes_in_the_ccz_class_of(kim):
print algebraic_degree(f), pretty_spectrum(thickness_spectrum(f))
total += 1
print "total: ", total
total = 0
for f in ea_classes_in_the_ccz_class_of(kim):
print(
str(algebraic_degree(f)) + pretty_spectrum(thickness_spectrum(f)))
total += 1
print("total: " + str(total))
# !SECTION! Running tests
if __name__ == '__main__':
# test_ea_permutations()
# test_ccz_permutations(number="just one")
# test_enumerate_ea()
# test_ea_classes()
# import sys
# N = int(sys.argv[1])
# print("=== Linear Equivalence ===")
# test_le_equivalence(N, verbose=True)
# print("\n=== Linear Representative ===")
# test_le_repr(N, verbose=False)
# print("\n=== Affine Equivalence ===")
# test_ae_equivalence(N, verbose=True)
N = 5
gf = GF(2**N, name="a")
cube = [(gf.fetch_int(x)**3) for x in range(0, 2**N)]
for g in ea_classes_in_the_ccz_class_of(cube):
print(are_ccz_equivalent(f, g), g)
