Is there any software available on Linux for Galois field calculus?
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this question should be migrated to [math.SE](http://math.stackexchange.com). Also, [this question](http://physics.stackexchange.com/q/222/97) at physics.SE might provide some useful hints – Tobias Kienzler Apr 06 '11 at 13:06
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I did a little bit of searching, and found a couple of options:
Sage can be used to study elementary and advanced, pure and applied mathematics. This includes a huge range of mathematics, including basic algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, exact linear algebra and much more.
Here's part of the tutorial on polynomials.
A high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with Matlab.
A computer algebra system for polynomial computations, with special emphasis on commutative and non-commutative algebra, algebraic geometry, and singularity theory.
Note that I have not used the software listed above, and am merely trying to provide some helpful links. Asking this question on the Mathematics SE site will likely provide some more in-depth answers. Hope this helps.
