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Why GF(256) matrix only have zero and one number?

asked 2019-08-04 06:27:35 -0500

helica gravatar image

like this

sage: matrix(GF(2**8), [1, 2, 3, 4])
[1 0 1 0]

I just want do some matrix calculate mod 256, can any help me, please?

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answered 2019-08-05 13:23:17 -0500

updated 2019-08-06 13:07:32 -0500

If you want to work mod 256, you should work with Integers(256), not GF(256). (The first of these is the ring Z/256, the second is the field with 256 elements.)

sage: matrix(Integers(256), [1,2,3,4])
[1 2 3 4]
sage: matrix(Integers(256), [254, 255, 256, 257])
[254 255   0   1]

(edited to add the second example)

IntegerModRing(256) is a synonym for Integers(256), by the way.

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answered 2019-08-05 07:34:46 -0500

tmonteil gravatar image

This is not a matrix issue. The field K=GF(256) has characteristic 2, which result do you expect for K(3) ?

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Asked: 2019-08-04 06:27:35 -0500

Seen: 27 times

Last updated: Aug 06