if i defined the following finite field
F=GF(2^15,'x')
then i've generated it's irreducible polynomial
sage: IP=F.polynomial()
sage: IP
x^15 + x^5 + x^4 + x^2 + 1
how can i get the binary representation of this polynomial ?
I am not completely sure about what you call binary representation of the polynomial, but i could suggest:
sage: IP.coefficients(sparse=False)
[1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
If you want the bit of low weight to be on the right, you can do:
sage: L = IP.coefficients(sparse=False)
sage: L.reverse()
sage: L
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1]
Asked: 2020-05-29 15:58:38 +0100
Seen: 272 times
Last updated: May 29 '20
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