Dear members,
I am trying to reproduce page 9 of https://eprint.iacr.org/2016/407.pdf but
until now is not possible to find the 65 inequalities that paper says. I am
thinking that maybe this is because the version of SAGE I am using (this is
9). Do you think that there is any chance to obtain 65 inequalities
using P.Hrepresentation() in other version of SAGE?
from sage.all import *
vertices = [i for i in range(2**6)]
vertices_to_drop = []
def eq(x, y, z):
if (x == y and y == z):
return 1
return 0
for j in range(2**6):
if ((((j>>5)&1) == ((j>>4)&1) and ((j>>4)&1) == ((j>>3)&1)) and
(((j>>3)&1) != (((j>>2)&1) ^ ((j>>1)&1) ^ ((j>>0)&1)))):
vertices_to_drop.append(j);
possible_patterns = list(set(vertices) - set(vertices_to_drop))
print(possible_patterns)
possible_patterns_vector = []
for num in possible_patterns:
possible_patterns_vector.append([int(n) for n in
bin(num)[2:].zfill(6)] + [eq(((num>>5)&1), ((num>>4)&1), ((num>>3)&1)) ^ 1])
print(possible_patterns_vector[0])
print(possible_patterns_vector[1])
P = Polyhedron(vertices = possible_patterns_vector)
for h in P.Hrepresentation():
print(h)
---------------------------------------------------------------------
D.Sc. Juan del Carmen Grados Vásquez
Laboratório Nacional de Computação Científica
Tel: +55 21 97633 3228
(http://www.lncc.br/)
http://juaninf.blogspot.com
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