摘要
最近,环Fq+uFq上的码引起编码学家极大的兴趣.为此研究了该环上任意长度的循环码及其对偶码,并运用有限环理论,给出了这些循环码及其对偶码的可以唯一确定的生成元的表达形式,并确定了这些循环码的秩.
Recently codes over the ring Fq＋uFq have received a great deal of interest among coding researchers. Cyclic codes and their duals of arbitrary lengths over the ring Fq＋uFq
are studied. By using the theory of finite rings, the uniquely determined generators for these codes are obtained and the rank of these cyclic codes is also determined.
基金
国家自然科学基金(60673074)
教育部科学技术研究重点项目(107065)
安徽省高校青年教师科研资助计划重点项目(2006JQl002ZD)
合肥工业大学科研发展基金项目(061003F)资助
