I need a operator, or function, to found all solutions of a linear system
over the finite field F_2. For example in the next code I have generated a
random linear system of the form Ax=b, where A=[[1,1,1], [0,1,1]] and b =
[0,1], but when I used the operator \ I have only one solution [1,1,0], but
there is another solution that is [1,0,1].
def generateRandVector(kk,r):
v = vector(kk,r)
for i in range(r):
v[i] = kk.random_element()
return v
q = 2
pot = 1
kk = GF(q**pot,"t")
r=2
n=3
w=2
M2 = random_matrix(kk, r, n)
while(M2.rank()!=w):
#print M2.rank()
M2 = random_matrix(kk, r, n)
print M2.str()
v = generateRandVector(kk,r)
print v
print M2\v
--
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MSc. 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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