Dual codes are defined with respect to non-degenerate sesquilinear or bilinear forms over a finite Frobenius ring. These dual codes have the properties one expects from a dual code: they satisfy a double-dual property, they have cardinality complementary to that of the primal code, and they satisfy the MacWilliams identities for the Hamming weight
In this paper, we will show some properties of codes over the ring $B_k=\mathbb{F}_p[v_1,\dots,v_k]/...
A code of length n and size M consist of a set of M vectors of n components. The components being ta...
Abstract: This paper is dedicated to Vera Pless. It is an elaboration on ideas of Nebe, Rains and Sl...
Dual codes are defined with respect to non-degenerate sesquilinear or bilinear forms over a finite F...
AbstractWe prove that self-dual codes exist over all finite commutative Frobenius rings, via their d...
We prove that self-dual codes exist over all finite commutative Frobenius rings, via their decomposi...
We study codes over the finite sub Hopf algebras of the Steenrod algebra. We define three dualities ...
Self-dual codes are important because many of the best codes known are of this type and they have a ...
International audienceIn this paper, we present a basic theory of the duality of linear codes over t...
AbstractThis article is a survey of the current status of the classification and enumeration of self...
International audienceIn this paper we present a basic theory of the duality of linear codes over th...
Abstract. These lecture notes discuss the MacWilliams identi-ties in several contexts: additive code...
We present linear codes over finite commutative rings which are not necessarily Frobenius. We treat ...
International audienceIn previous works we considered codes dened as ideals of quotients of non comm...
AbstractF. J. MacWilliams proved that Hamming isometries between linear codes extend to monomial tra...
In this paper, we will show some properties of codes over the ring $B_k=\mathbb{F}_p[v_1,\dots,v_k]/...
A code of length n and size M consist of a set of M vectors of n components. The components being ta...
Abstract: This paper is dedicated to Vera Pless. It is an elaboration on ideas of Nebe, Rains and Sl...
Dual codes are defined with respect to non-degenerate sesquilinear or bilinear forms over a finite F...
AbstractWe prove that self-dual codes exist over all finite commutative Frobenius rings, via their d...
We prove that self-dual codes exist over all finite commutative Frobenius rings, via their decomposi...
We study codes over the finite sub Hopf algebras of the Steenrod algebra. We define three dualities ...
Self-dual codes are important because many of the best codes known are of this type and they have a ...
International audienceIn this paper, we present a basic theory of the duality of linear codes over t...
AbstractThis article is a survey of the current status of the classification and enumeration of self...
International audienceIn this paper we present a basic theory of the duality of linear codes over th...
Abstract. These lecture notes discuss the MacWilliams identi-ties in several contexts: additive code...
We present linear codes over finite commutative rings which are not necessarily Frobenius. We treat ...
International audienceIn previous works we considered codes dened as ideals of quotients of non comm...
AbstractF. J. MacWilliams proved that Hamming isometries between linear codes extend to monomial tra...
In this paper, we will show some properties of codes over the ring $B_k=\mathbb{F}_p[v_1,\dots,v_k]/...
A code of length n and size M consist of a set of M vectors of n components. The components being ta...
Abstract: This paper is dedicated to Vera Pless. It is an elaboration on ideas of Nebe, Rains and Sl...