摘要
In this paper, the period distribution of cyclic codes overR = F_q + uF_q +···+u^(m-1)F_q is studied, where um= 0 and q is a prime power. A necessary and sufficient condition for the existence of period of cyclic codes over R is given. The period distributions of cyclic codes over R and their dual codes are determined by employing generator polynomial. The counting formulas of the period distributions of cyclic codes over R and their dual codes are obtained.
In this paper, the period distribution of cyclic codes over R = Fq＋uFq ＋…＋ U^m-1Fq is studied, where u^m = 0 and q is a prime power. A necessary and sufficient condition for the existence of period of cyclic codes over R is given. The period distributions of cyclic codes over R and their dual codes are determined by employing generator polynomial. The counting formulas of the period distributions of cyclic codes over R and their dual codes are obtained.
基金
Supported by the National Natural Science Foundation of China(No.61370089)
Fundamental Research Funds for the Central Universities(Nos.2013HGCH0024,J2014HGXJ0073)
Specialized Research Fund for the Doctoral Program of Hefei University of Technology(No.JZ2014HGBZ0029)
