عُمان للعلوم

المنشورات 2

مقال بحثي وصول مفتوح

Transform Domain Characterization of Dual Group Codes of Cyclic Group Codes over Elementary Abelian Groups

Adnan A. Zain · مجلة جامعة السلطان قابوس للعلوم · 2009 · 10.24200/squjs.vol14iss0pp53-59

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 thei …

مقال بحثي وصول مفتوح

On Group Codes Over Elementary Abelian Groups

Adnan A. Zain · مجلة جامعة السلطان قابوس للعلوم · 2003 · 10.24200/squjs.vol8iss2pp145-151

For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group. We also lift the theorem that relates the parity check and the generator matrices of linear codes over finite fields to group codes over el …