电子学报Issue(1)：145-150,6.DOI:10.3969/j.issn.0372-2112.2015.01.023
环 F2＋ uF2＋ u2 F2上的常循环码
Constacyclic Codes over the Ring F2+ uF2+ u2 F2
摘要
Abstract
Constacyclic codes are a kind of important error-correcting codes .In view of the factorization of ( xn -1 ) in F2 [ x ] ,the minimal generating set of (1+ λu ) constacyclic codes with an arbitrary length N over the ring R= F2+ uF2+ u2 F2 are investigated ,where λis a unit of the ring R .Based on the analysis of the equivalence between cyclic codes and constacyclic codes over the ring R ,the generator polynomials and minimal generating set of (1+ u2 ) constacyclic codes with odd length are ob-tained ,so are the codes with length N≡2 (mod 4 ) .关键词
循环码/常循环码/极小生成元集/生成多项式Key words
cyclic codes/constacyclic codes/the minimal generating set/generator polynomials分类
信息技术与安全科学引用本文复制引用
丁健,李红菊,左学武,梁静..环 F2＋ uF2＋ u2 F2上的常循环码[J].电子学报,2015,(1):145-150,6.基金项目
安徽省教育厅自然科学项目（No ．KJ2013B107）；安徽新华学院科研及质量工程项目 （）
