Quaternary quasi-cyclic codes

作     者：PEI Jun-ying ZHANG Xue-jun 

作者机构：Dept. of Math. Soochow Univ. Suzhou 215006 China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2008年第23卷第3期

页      面：359-365页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China (60603016) 

主　　题：quasi-cyclic code primary component type 

摘      要：Quasi-cyclic codes of length mn over Z4 are shown to be equivalent to A-submodules of A^n, where A = Z4[x]/（x^m - 1）. In the case of m being odd, all quasi-cyclic codes are shown to be decomposable into the direct sum of a fixed number of cyclic irreducible A-submodules. Finally the distinct quasi-cyclic codes as well as some specific subclasses are enumerated.