On Constacyclic Codes over Zp1p2…pt

作     者：Derong XIE Qunying LIAO 

作者机构：College of Mathematical Science Sichuan Normal University 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2019年第40卷第4期

页      面：555-566页

核心收录：

学科分类：11[军事学] 1105[军事学-军队指挥学] 110505[军事学-密码学] 

基　　金：supported by the Project of Science and Technology Department of Sichuan Province(No.2016JY0134) 

主　　题：Ideal Isomorphism Constacyclic code Self-orthogonal code Self-orthogonal cyclic code 

摘      要：Let t ≥ 2 be an integer, and let p1, ···, ptbe distinct primes. By using algebraic properties, the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2···ptand the corresponding explicit enumerating formula. And it proves that there does not exist any self-dual cyclic code over Zp1p2···pt.