How to create GF(2^8) and multiply by 8 by 8 matrix?
How i can create GF(2^8) and Multiplication with matrix 8 by 8 and Multiplication with matrix 1 by 8?
How i can create GF(2^8) and Multiplication with matrix 8 by 8 and Multiplication with matrix 1 by 8?
The question seems to be asking
Sage allows to compute with elements in $F$ either via field algebra or via linear algebra.
Examples of how to go back and forth, and how the results match:
sage: F.<a> = GF(2^8)
sage: a
a
sage: va = vector(a)
sage: va
(0, 1, 0, 0, 0, 0, 0, 0)
sage: ma = a.matrix()
sage: ma
[0 0 0 0 0 0 0 1]
[1 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 1]
[0 0 1 0 0 0 0 1]
[0 0 0 1 0 0 0 1]
[0 0 0 0 1 0 0 0]
[0 0 0 0 0 1 0 0]
[0 0 0 0 0 0 1 0]
sage: a_a = a * a
sage: a_a
a^2
sage: vaa = vector(a_a)
sage: vaa
(0, 0, 1, 0, 0, 0, 0, 0)
sage: ma_va = ma * va
sage: ma_va
(0, 0, 1, 0, 0, 0, 0, 0)
sage: F(ma_va)
a^2
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Asked: 2020-12-20 16:50:58 +0100
Seen: 681 times
Last updated: Dec 20 '20
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