中国邮电高校学报(英文)

中国邮电高校学报(英文) ›› 2008, Vol. 15 ›› Issue (2): 67-71.doi: 1005-8885 (2008) 02-0067-05

• Artificial Intelligence • 上一篇    下一篇

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

林新棋 温向明 张胜元 郑伟   

  1. Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou 350007, China
  • 收稿日期:2007-08-17 修回日期:1900-01-01 出版日期:2008-06-30
  • 通讯作者: 林新棋

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

LIN Xin-qi, WEN Xiang-ming，ZHANG Sheng-yuan，ZHENG Wei   

  1. Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou 350007, China
  • Received:2007-08-17 Revised:1900-01-01 Online:2008-06-30
  • Contact: LIN Xin-qi

PDF

385

被引次数

5

摘要：

The type II 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;II;codes,;generalized;H-set;pair(i.e.,;GH-set;pair)

Abstract:

The type II 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.

Key words:

Abelian code;GH-codes;self-dual code;type II codes;generalized H-set pair(i.e.;GH-set pair)

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