AbstractIntegral lattices invariant under the affine group AGLm(pt) in its natural permutation module Λ of dimension n=mt are studied. A complete description of such lattices is given. As a consequence we have results on automorphism groups of affine invariant codes over fields and finite residue rings Z/pkZ
summary:We investigate the invariant rings of two classes of finite groups $G\leq {\rm GL}(n,F_q)$ w...
AbstractThe Pólya cycle indices for the natural actions of the general linear groups and affine grou...
AbstractFor a faithful linear representation of a finite group G over a field of characteristic p, w...
AbstractWe describe the defining sets of extended cyclic codes of length pn over a field and ove...
AbstractA group code structure of a linear code is a description of the code as one-sided or two-sid...
AbstractCodes over p-adic numbers and over integers modulo pd of block length pm invariant under the...
AbstractWe prove that the automorphism group of Generalized Reed-Muller codes is the general linear ...
Abstract. Affine-invariant codes are extended cyclic codes of length p m invariant under the affine-...
Recently, Blackford and Ray-Chaudhuri used transform domain techniques to permutation groups of cycl...
Recently, Blackford and Ray-Chaudhuri used transform domain techniques to permutation groups of cycl...
summary:We investigate a $H$-invariant linear code $C$ over the finite field $F_{p}$ where $H$ is a ...
AbstractNous montrons que l'ensemble des codes cycliques étendus primitifs, d'une longueur donnée, i...
We survey some encoding methods for AG codes, focusing primarily on one approach utilizing code auto...
Abstract- Algebraic structure of codes closed un-der a rb i t r a ry abelian group G of permutat ion...
AbstractWe compute the ranks of inclusion matrices of affine subspaces of a finite dimensional vecto...
summary:We investigate the invariant rings of two classes of finite groups $G\leq {\rm GL}(n,F_q)$ w...
AbstractThe Pólya cycle indices for the natural actions of the general linear groups and affine grou...
AbstractFor a faithful linear representation of a finite group G over a field of characteristic p, w...
AbstractWe describe the defining sets of extended cyclic codes of length pn over a field and ove...
AbstractA group code structure of a linear code is a description of the code as one-sided or two-sid...
AbstractCodes over p-adic numbers and over integers modulo pd of block length pm invariant under the...
AbstractWe prove that the automorphism group of Generalized Reed-Muller codes is the general linear ...
Abstract. Affine-invariant codes are extended cyclic codes of length p m invariant under the affine-...
Recently, Blackford and Ray-Chaudhuri used transform domain techniques to permutation groups of cycl...
Recently, Blackford and Ray-Chaudhuri used transform domain techniques to permutation groups of cycl...
summary:We investigate a $H$-invariant linear code $C$ over the finite field $F_{p}$ where $H$ is a ...
AbstractNous montrons que l'ensemble des codes cycliques étendus primitifs, d'une longueur donnée, i...
We survey some encoding methods for AG codes, focusing primarily on one approach utilizing code auto...
Abstract- Algebraic structure of codes closed un-der a rb i t r a ry abelian group G of permutat ion...
AbstractWe compute the ranks of inclusion matrices of affine subspaces of a finite dimensional vecto...
summary:We investigate the invariant rings of two classes of finite groups $G\leq {\rm GL}(n,F_q)$ w...
AbstractThe Pólya cycle indices for the natural actions of the general linear groups and affine grou...
AbstractFor a faithful linear representation of a finite group G over a field of characteristic p, w...
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