Period distribution of cyclic codes over F q + uF q + ?+
详细信息 查看全文
- 作者：Ping Li ; Jiawei Zhong ; Shixin Zhu
- 关键词：Cyclic codes ; Dual codes ; Period ; Period distribution ; TN911.22
- 刊名：Journal of Electronics (China)
- 出版年：2014
- 出版时间：December 2014
- 年：2014
- 卷：31
- 期：6
- 页码：547-551
- 全文大小：169 KB
- 参考文献：1. J. F. Qian, L. N. Zhang, and S. X. Zhu. Cyclic codes over / F p + / uF p + ?+ / u / k? / F p. / IEICE Transactions on Fundamental, 88(2005)3, 795-97. CrossRef
2. Q. Liao and K. Pu. A note on the depth spectrum and distribution of linear codes over rings. / Journal of Sichuan Normal University, 36(2012)2, 159-64.
3. M. Mohammed, M. Al-Ashker, and J. Z. Chen. Cyclic codes of arbitrary length over / F p + / uF p + ?+ / u / k? / F p. / Palestine Journal of Mathematics, 2(2013)1, 72-0.
4. P. Li, S. X. Zhu, and X. S. Kai. ( / uλ ?1) -constacyclic codes of arbitrary lengths the rings over / F q + / uF q + ?+ / u / k? / F q. / Journal of Electronics & Information Technology, 35(2013)5, 1044-048. CrossRef
5. Y. X. Yang and Z. M. Hu. Period distribution for error-correcting codes. / Journal of Communications, 13(1992)3, 50-4.
6. H. Y. Song, I. S. Reed, and S. W. Golomb. On the nonperiodic cyclic equivalence classes of Reed-Solomon codes. / IEEE Transactions on Information Theory, 39(1993)4, 1431-434. CrossRef
7. F. W. Fu and S. Y. Shen. New calculation formula for period distribution of cyclic codes. / Journal of Communications, 17(1996)2, 1-.
8. F. W. Fu and S. Y. Shen. On the nonperiodic cyclic equivalence classes of hamming codes and BCH codes. / Statistical Planning and Inference, 94(2001)2, 205-09. CrossRef
9. J. Liao and X. S. Chen. Period distributions of / q-ary BCH codes with designed distance 9. / Computer Engineering and Applications, 48(2012)4, 132-34.
10. J. L. Wan and S. X. Zhu. Period distribution of cyclic codes over \(Z_{p^m }\) . / Journal of University of Science and Technology of China, 40(2010)3, 325-30. - 刊物主题：Electrical Engineering;
- 出版者：Springer Berlin Heidelberg
- ISSN：1993-0615
文摘
In this paper, the period distribution of cyclic codes over R = F q + uF q + ?+ u m? F q 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.