Abstract
The generating polynomials of higher power residue codes over finite fields are factors of the polynomial .Generally speaking; it is difficult to factor the polynomial over finite fields. This paper gives generating idempotents of cubic residue codes over the field .As a result, the generating polynomials of cubic residue codes over the field can be obtained by computing the greatest common divisors of these generating idempotents and the polynomial with computer software such as Matlab and Maple.
Publisher
Trans Tech Publications, Ltd.
Reference9 articles.
1. E. Prange, I.S. Reed and T.K. Truong: Air Force Cambridge Research Center, Cambridge. 2(1958)58-156.
2. F.J. Macwilliams N.J.A. Sloane: The Theory of Error-Correcting Codes (North-Holland, 1977).
3. T.C. Lin, H.P. Lee, H.C. Chang, T.K. Truong: Information Sciences. 197(2012)215-222.
4. P. Charters: Finite Fields and Their Applications. 15(2009)404-413.
5. X. Dong,J. Gao and L. Yang: Journal of Liaoning Normal University. 25(2002)1-2.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献