The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes. The transform domain description of the dual codes of cyclic group codes of length over has been developed in this paper. Several example codes and their duals have been presented also
A generalized discrete Fourier transform defined over an appropriate extension ring is given that is...
First, some general properties of codes which are invariant under the permutation groups are given. ...
Convolutional codes over Abelian groups provide an effective theoretical framework for the analysis ...
For systematic codes over finite fields the following result is well known: If [I¦P] is the generato...
For group codes over elementary Abelian groups we present definitions of the generator and the parit...
The dual code of a linear code over an abelian group is characterized in terms of the endomorphisms ...
Algebraic structure of codes over F<sub>q</sub>, closed under arbitrary abelian group G of permutati...
Algebraic structure of codes over $F_{q}$, closed under arbitrary abelian group G of permutations wi...
Cyclic codes with symbols from a residue class integer ring Zm are characterized in terms of the dis...
Abstract. A (left) group code of length n is a linear code which is the image of a (left) ideal of a...
Abstract—An (n, k) group code over a group G is a subset of G n which forms a group under componentw...
An (n,k) group code over a group G is a subset of Gn which forms a group under componentwise group o...
This work is focused on linear error-correcting codes in group rings. The basic introduc- tion to gr...
AbstractConvolutional codes over Abelian groups provide an effective theoretical framework for the a...
AbstractA duality of two categories is introduced. It generalizes the Malcev description of torsion ...
A generalized discrete Fourier transform defined over an appropriate extension ring is given that is...
First, some general properties of codes which are invariant under the permutation groups are given. ...
Convolutional codes over Abelian groups provide an effective theoretical framework for the analysis ...
For systematic codes over finite fields the following result is well known: If [I¦P] is the generato...
For group codes over elementary Abelian groups we present definitions of the generator and the parit...
The dual code of a linear code over an abelian group is characterized in terms of the endomorphisms ...
Algebraic structure of codes over F<sub>q</sub>, closed under arbitrary abelian group G of permutati...
Algebraic structure of codes over $F_{q}$, closed under arbitrary abelian group G of permutations wi...
Cyclic codes with symbols from a residue class integer ring Zm are characterized in terms of the dis...
Abstract. A (left) group code of length n is a linear code which is the image of a (left) ideal of a...
Abstract—An (n, k) group code over a group G is a subset of G n which forms a group under componentw...
An (n,k) group code over a group G is a subset of Gn which forms a group under componentwise group o...
This work is focused on linear error-correcting codes in group rings. The basic introduc- tion to gr...
AbstractConvolutional codes over Abelian groups provide an effective theoretical framework for the a...
AbstractA duality of two categories is introduced. It generalizes the Malcev description of torsion ...
A generalized discrete Fourier transform defined over an appropriate extension ring is given that is...
First, some general properties of codes which are invariant under the permutation groups are given. ...
Convolutional codes over Abelian groups provide an effective theoretical framework for the analysis ...