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Galois Field operations

• To: mathgroup at smc.vnet.net
• Subject: [mg24891] Galois Field operations
• From: "Matthew Peacock" <mpeac at labyrinth.net.au>
• Date: Sat, 19 Aug 2000 04:46:07 -0400 (EDT)
• Organization: Labyrinth Connections Pty Ltd
• Sender: owner-wri-mathgroup at wolfram.com

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

• Follow-Ups:
  • Re: Galois Field operations
    • From: Daniel Lichtblau <danl@wolfram.com>
  • Re: Galois Field operations
    • From: Ken Levasseur <Kenneth_Levasseur@uml.edu>