计算机工程与应用2012，Vol.48Issue(4)：132-134,3.DOI:10.3778/j.issn.1002-8331.2012.04.039
设计距离为9的q元BCH码的周期分布
Period distributions of q-ary BCH codes with designed distance 9
摘要
Abstract
According to research of cyclotomic cosets m, the property of cyclotomic cosets can be concluded when q>7 and m>l. The calculation formulae for period distribution of q-ary BCH codes with designed distance 9 are obtained based on the discussion of cyclotomic cosets and property of cyclotomic polynomials: the period distribution is q' s power. When the period is unequal to some special values, the power is the GCD of code-length and the period. When the period is special value, the power is n/b-m[8/b], where n is the code-length, b is some number among 2 to 8 related to n and the period, and m is the index of q module n. The nonperiodic cyclic equivalence classes of this kind of codes can be counted due to the period distribution formula found and the Mobuis inverse.关键词
BCH码/循环陪集/周期分布Key words
BCH Codes/ cyclotomic cosets/ period distribution分类
数理科学引用本文复制引用
廖谨,陈小松..设计距离为9的q元BCH码的周期分布[J].计算机工程与应用,2012,48(4):132-134,3.基金项目
国家自然科学基金(No.11071062) （No.11071062）
湖南省科技计划资助项目(No.2009FJ3197). （No.2009FJ3197）
