计算机工程与应用Issue(18)：113-117,5.DOI:10.3778/j.issn.1002-8331.1210-0174
三元域上三次和四次剩余码的幂等生成元
Generating idempotents of cubic and quartic residue codes over field F3
摘要
Abstract
The generating polynomials of higher degree residue codes over finite fields are factors of the polynomial xn-1 . Generally speaking, it is difficult to factor the polynomial xn-1 over finite fields. This paper gives generating idempotents of cubic and quartic residue codes over the field F3 . As a result, the generating polynomials of cubic and quartic residue codes over the field F3 can be obtained by computing the greatest common divisors of these generating idempotents and the polynomial xn-1 with computer software such as Matlab and Maple.关键词
幂等生成元/剩余码/循环码Key words
generating idempotent/residue code/cyclic code分类
信息技术与安全科学引用本文复制引用
董学东,张瑶,张妍..三元域上三次和四次剩余码的幂等生成元[J].计算机工程与应用,2014,(18):113-117,5.基金项目
国家自然科学基金（No.10171042）；辽宁省教育厅高校科研项目（No.L2010234）。 （）
