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Re: Galois Field operations

• To: mathgroup at smc.vnet.net
• Subject: [mg24899] Re: [mg24891] Galois Field operations
• From: Ken Levasseur <Kenneth_Levasseur at uml.edu>
• Date: Sun, 20 Aug 2000 01:34:50 -0400 (EDT)
• Organization: UMass Lowell
• References: <200008190846.EAA09625@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Mat:

You might want to try the AbstractAlgebra packages that Al Hibbard and I
have developed.  We have them for Mathematica 2.2 at
http://www.central.edu/homepages/hibbarda/EAAM/DownloadAA.html. 

I don't see what you have in mind in the expression below however.  What
do you mean by
 x-GF[2] ?  GF[2] is the field {0,1}.  Do you mean x-a where a is in GF[2]?

Ken Levasseur
Math. Sciences
UMass Lowell

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Matthew Peacock wrote:
> 
> Hi,
> 
> I am trying to do some work with polynomials that have coefficients from
> GF(16) using Mathematica 2.2.  I have downloaded the package from MathSource
> that allows the manipulation of finite field elements, but Mathematica just
> carks it if I try to expand the following expression:
> 
> Expand[(x-GF[2])(x-GF[2]^2)(x-GF[2])(x-GF[2]^3)(x-GF[2]^4)(x-GF[2]^5)(x-GF[2
> ]^6)]
> Has anybody any idea whether:
>     - this is a reasonable thing to ask Mathematica to do
>     - there is a better package or (dare I say) software package to do this
> with?
> 
> Thanks,
> 
> Mat Peacock

• References:
  • Galois Field operations
    • From: "Matthew Peacock" <mpeac@labyrinth.net.au>