Self-Dual Permutation Codes over Finite Chain Rings 被引量：1

Self-Dual Permutation Codes over Finite Chain Rings

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摘要 Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given. Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given.

作者 YUAN Yuan ZHANG Huanguo

机构地区 School of Computer School of Informatics

出处《Wuhan University Journal of Natural Sciences》 CAS 2007年第6期992-996,共5页 武汉大学学报（自然科学英文版）

基金 Supported by the National Natural Science Foundation of China (60373087, 60473023, 90104005, 60673071)

关键词 finite chain ring group code permutation code self-dual code finite chain ring group code permutation code self-dual code

分类号 O157.4 [理学—基础数学]

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参考文献10

1Wasan S K.On Codes over Z m[].IEEE Trans Inform The- ory.1982
2Goldberg D Y.Reconstructing the Ternary Golay Codes[].J Combin Theory Ser A.1986
3Bernhardt F,Landrock P,Manz O.The Extended Golay Codes Considered as Ideals[].J Comb Theory Ser A.1990
4Dougherty S T,Harada M,Sole P.Self-Dual Codes over Rings and the Chinese Remainder Theorem[].Hokkaido Math J.1999
5Rajan B S,,Siddiqi M U.A Generalized DFT for Abelian Codes over Z m[].IEEE Trans Inform Theory.1994
6Hughes G.Structure Theorems for Group Ring Codes with an Application to Self-Dual Codes[].Des Codes Cryptography.2001
7Williems W.A Note on Self-Dual Group Codes[].IEEE Trans Inform Theory.2002
8Yuan Yuan.Self-Dual Permutation Codes and m-Weights[]..2005
9McDonald B R.Finite Rings with Identity[]..1974
10Norton G H,,Salagean A.On the Structure of Linear and Cy- clic Codes over Finite Chain Rings[].Applicable Algebra in Engineering Communication and Computing.2000

引证文献1

1张光辉.环F<sub>2</sub>+vF<sub>2</sub>上的自对偶置换码[J].理论数学,2012,2(4):243-248.

1樊恽,袁媛.ON SELF-DUAL PERMUTATION CODES[J].Acta Mathematica Scientia,2008,28(3):633-638.
2李慧陵,樊恽,石生明.半单码的特征标构造法及应用实例[J].首都师范大学学报（自然科学版）,1994,15(1):8-16.
3张丰硕,白丽艳,杨继明.0-群码的结构[J].玉溪师范学院学报,2013,29(12):5-8.
4刘满,张嗣瀛.定义在格上的群码[J].石油化工高等学校学报,1997,10(4):63-68.
5张光辉,刘宏伟.SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS[J].Acta Mathematica Scientia,2013,33(6):1695-1710. 被引量：1
6GUO Tiande(Mathematics Department,Qufu Normal University, Qufu 273165,China)WU Shiquan(Institute of Applied Mathematics,Academia Sinia, Beijing 100080, China).A MODIFIED HOMOGENEOUS AND SELF-DUAL LINEAR PROGRAMMING ALGORITHM[J].Systems Science and Mathematical Sciences,1995,8(3):270-277.
7王世強,袁云耀.p符羣碼的标准矩陣[J].北京师范大学学报（自然科学版）,1963,8(2):1-8.
8Mustafa ALTUN,Marc D.RIEDEL.A Study on Monotone Self-Dual Boolean Functions[J].Acta Mathematicae Applicatae Sinica,2017,33(1):43-52.
9张友金.Reduction of the Symmetries of the Self-dual Yang-Mills Equation[J].Chinese Science Bulletin,1994,39(3):177-181.
10沈纯理.YANG-MILLS CONNECTION OVER KAHLER SURFACE[J].Chinese Annals of Mathematics,Series B,1989,10(3):403-408.

Wuhan University Journal of Natural Sciences

2007年第6期

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Self-Dual Permutation Codes over Finite Chain Rings 被引量：1

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