Title of article :
One–generator quasi–abelian codes revisited
Author/Authors :
jitman, somphong silpakorn university - faculty of science - department of mathematics, Nakhon Pathom, Thailand , udomkavanich, patanee chulalongkorn university - faculty of science - department of mathematics and computer science, Bangkok, Thailand
Abstract :
The class of 1-generator quasi-abelian codes over finite fields is revisited. Alternative and explicit characterization and enumeration of such codes are given. An algorithm to find all 1-generator quasi-abelian codes is provided. Two 1-generator quasi-abelian codes whose minimum distances are improved from Grassl’s online table are presented.
Keywords :
Group algebras , Quasi , abelian codes , Minimum distances , 1 , generator
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications