学术
摘 要:
本文研究了环F2＋uF2上的奇长度的循环码和（1＋u）-循环码．运用代数方法，得到了F2＋uF2上的循环码和（1＋u）-循环码成为自由码的几个充要条件．推广了Bonnecaze（1999）和Aydin（2002）的关于自由码的结果．[著者文摘]
文章出处:
《数学杂志》-2008年28卷2期 -124-128页
分 类 号:
文献标识码:
A
文章编号:
0255-7797（2008）02-0124-05
SUFFICIENT AND NECESSARY CONDITIONS FOR CONSTACYCLIC CODES OVER A KIND OF RINGS OF ORDER FOUR TO BE FREE
LI Ping, ZHU Shi-xin （Dept. of Applied Math. , Hefei University of Technology, Hefei 230009,China）
Abstract:
In this paper,we study cyclic and （1＋u）-cyclic codes of odd length over the ring F2 ＋uF2. By using algebraic method we give several sufficient and necessary conditions for cyclic and （1＋u）-cyclic codes over F2 ＋uF2 to he free. It generalizes the results about free codes of Bonnecaze （1999） and Aydin （2002）[著者文摘]
Key words:
cyclic codes; （1＋u）-cyclic codes;free codes;nordree codes;idempotent generator
基金资助:
Supported by by National Natural Science Foundation of China （60673074）; Key Scientific Research Award Program for Young Teachers in Higher Education Institutions of Anhui Province（2006jql002zd） ; Natural Science Foundation of Anhui Provincial Education Department （2006kj254b）; Scientific Research. and Development Foundation of Hefei University of Technology （061003f）
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