SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS  

作　　者：张光辉 刘宏伟 

机构地区：[1]School of Mathematical Sciences,Luoyang Normal University [2]School of Mathematics and Statistics,Central China Normal University

出　　处：《Acta Mathematica Scientia》2013年第6期1695-1710,共16页数学物理学报（B辑英文版）

基　　金：supported by NSFC(11171370)

摘　　要：In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings.In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings.

关 键 词：self-dual code group code permutation code formal power series ring finiteprincipal ideal ring 

分 类 号：O153.3[理学—数学]