Generalized H-codes and type Ⅱ codes over GF(4)  

作　　者：LIN Xin-qi WEN Xiang-ming ZHENG Wei 

机构地区：[1]School of Continuing Education, Beijing University of Posts andTelecommunications, Beijing 100876, China [2]Key Laboratory of Network Security and Cryptology, Fujian NormalUniversity, Fuzhou 350007, China

出　　处：《The Journal of China Universities of Posts and Telecommunications》2008年第2期67-71,共5页中国邮电高校学报（英文版）

基　　金：the National Natural Science Foundation of China (60743007);Fujian Province Young Talent Program (2006F3044);Province Natural Science Foundation of Fujian (JA04169);Province Education Department Foundation of Fujian (JB05331);Beijing Municipal Commission of Education Disciplines and Graduate Education Projects (XK100130648)

摘　　要：The typeⅡ codes have been studied widely in applications since their appearance. With analysis of the algebraic structure of finite field of order 4 （i.e., GF（4））, some necessary and sufficient conditions that a generalized H-code （i.e., GH-code） is a type Ⅱ code over GF（4） are given in this article, and an efficient and simple method to generate type Ⅱ codes from GH-codes over GF（4） is shown. The conclusions further extend the coding theory of type Ⅱ.The typeⅡ codes have been studied widely in applications since their appearance. With analysis of the algebraic structure of finite field of order 4 （i.e., GF（4））, some necessary and sufficient conditions that a generalized H-code （i.e., GH-code） is a type Ⅱ code over GF（4） are given in this article, and an efficient and simple method to generate type Ⅱ codes from GH-codes over GF（4） is shown. The conclusions further extend the coding theory of type Ⅱ.

关 键 词：Abelian code GH-codes self-dual code type Ⅱcodes generalized H-set pair （i.e. GH-set pair） 

分 类 号：O157.4[理学—数学]