电子学报2011,Vol.39Issue(1):29-34,6.
环F2+uF2上长度为2e的循环码的距离
On Minimum Distances of Cyclic Codes of Length 2^e Over F_2 + uF_2
摘要
Abstract
Determining the Hamming distances and Lee distances of codes is the key of decoding. In this Paper, the structures of cyclic codes over ring F_2 + uF_2 are classified. The Hamming distances and Lee distances of some cyclic codes of length 2^e over ring F_ 2 + uF _ 2 are determined. The upper bound of Hamming distance of other cyclic codes of length 2^e over ring F_ 2 +uF_ 2 are given, and the upper and lower bound of Lee distances of these cyclic codes are also given.关键词
循环码/Hamming距离/Lee距离Key words
cyclic codes/Hamming distance/Lee distance分类
信息技术与安全科学引用本文复制引用
施敏加,杨善林,朱士信..环F2+uF2上长度为2e的循环码的距离[J].电子学报,2011,39(1):29-34,6.基金项目
可信软件测试和可信性评估研究(重大研究计划)基金(No.90718037) (重大研究计划)
高校博士点基金(No.20080359003) (No.20080359003)
国家自然科学基金(No.60973125) (No.60973125)
安徽大学青年科学研究基金(No.33050026) (No.33050026)
安徽大学博士科研启动经费(No.33190052) (No.33190052)