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Linear codes over finite ring

asked 2015-07-03 03:45:26 -0600

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I'd like to work over cyclic codes over chain rings. Now let R=F_2+uF_2+U^2F_2+u^3F_2, u^4=0. Consider C=(1+x+x^2+x^3+x^4) be a cyclic coder over R of length 5 . Give to me the codewords of C?

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answered 2015-07-03 14:51:15 -0600

dlucas gravatar image

updated 2015-07-06 02:21:56 -0600

Hello,

Finite chain rings are not (yet) supported in Sage. Someone posted a patch on it on the updtae system (see: http://trac.sagemath.org/ticket/13398).

I know it's not exactly the issue here, but for now you can try the following:

sage: F = GF(2)
sage: R.<x> = F[]
sage: g = 1+x+x^2+x^3+x^4
sage: C = codes.CyclicCode(5, g)

to build your code (sorry about the bad formatting). Of course, it's over GF(2), not over a chain ring...

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Asked: 2015-07-03 03:45:26 -0600

Seen: 113 times

Last updated: Jul 06 '15