期刊论文

Chen, Bocong

英文

Discrete Mathematics

0012-365X

2014

331

142-150

10.1016/j.disc.2014.05.007

The authors would like to thank the anonymous referees for their many helpful comments. The authors are supported by NSFC , Grant No. 11171370 . The research of the first author is partially supported by NSFC, Grant No. 11271005 and Nanyang Technological University ’s research grant number M4080456 . The third author is supported by the Youth Backbone Teacher Foundation of Henan’s Universities (Grant No. 2013GGJS-152 ) and Science and Technology Development Program of Henan Province in 2014 ( 144300510051 ).

本校为第一机构

In this paper, the explicit expressions for the generating idempotents, check polynomials and the parameters of all minimal cyclic codes of length tpn over Fq are obtained, where p is an odd prime different from the characteristic of Fq, t and n are positive integers with t (q-1), gcd(t,p)=1 and ordtpn(q)=( pn). Our results generalize the main results in Pruthi and Arora (1997) and Arora and Pruthi (1999), which considered the cases t=1 and t=2 respectively. We propose an approach different from those in Pruthi and Arora (1997) and Arora and Pruthi (1999) to obtain ...