On Codes that are Invariant under the Affine Group

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On Codes that are Invariant under the Affine Group

Let k[V ] be the space of functions from a finite vector space into the algebraically closure of its field of scalars. This paper describes the lattice of subspaces of k[V ] which are invariant under the affine group AGL(V ). The description provides a simple method for finding the submodule generated by any set of functions given as polynomials in the standard coordinates.

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2012

ISSN: 1077-8926

DOI: 10.37236/2326