We use Gröbner bases of modules as a tool in the construction and classification of quasicyclic codes. Whereas previous studies have been mainly concerned with the 1-generator case, our results elucidate the structure of arbitrary quasicyclic codes and their duals. As an application we provide a complete characterisation of self-dual quasicyclic codes of index 2
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
AbstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and...
International audienceQuasi cyclic codes over a nite eld are viewed as cyclic codes over a non commu...
AbstractWe use Gröbner bases of modules as a tool in the construction and classification of quasicyc...
© 2006 Springer Science+Business Media. This is the author created version of a work that has been p...
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cycl...
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cycl...
Algebraic structure of codes closed under arbitrary abelian group G of permutations is investigated ...
Algebraic structure of codes closed under arbitrary abelian group G of permutations is investigated ...
International audienceIn this note, an intrinsic description of some families of linear codes with s...
A trace formula for quasi-cyclic codes over rings of characteristic not coprime with the co-index is...
A trace formula for quasi-cyclic codes over rings of characteristic not coprime with the co-index is...
Algebraic structure of codes closed under arbitrary abelian group G of permutations is investigated ...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
There is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and linear ...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
AbstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and...
International audienceQuasi cyclic codes over a nite eld are viewed as cyclic codes over a non commu...
AbstractWe use Gröbner bases of modules as a tool in the construction and classification of quasicyc...
© 2006 Springer Science+Business Media. This is the author created version of a work that has been p...
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cycl...
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cycl...
Algebraic structure of codes closed under arbitrary abelian group G of permutations is investigated ...
Algebraic structure of codes closed under arbitrary abelian group G of permutations is investigated ...
International audienceIn this note, an intrinsic description of some families of linear codes with s...
A trace formula for quasi-cyclic codes over rings of characteristic not coprime with the co-index is...
A trace formula for quasi-cyclic codes over rings of characteristic not coprime with the co-index is...
Algebraic structure of codes closed under arbitrary abelian group G of permutations is investigated ...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
There is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and linear ...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
AbstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and...
International audienceQuasi cyclic codes over a nite eld are viewed as cyclic codes over a non commu...