关于Goppa码、BCH码的广义Hamming重量
GENERALIZED HAMMING WEIGHTS FOR Goppa CODES AND BCH CODES
-
摘要: 本文研究了Goppa码、BCH码的广义Hamming重量,给出了Goppa码的广义Hamming重量的一个下界以及求该下界的一个算法;对于本原、狭义BCH码,给出了后面一些广义Hamming重量的确切值。Abstract: In this paper, generalized Hamming weights for Goppa codes and BCH codes are studied. Lower bounds of generalized Hamming weights for Goppa codes are obtained and an algorithm to find the lower bounds is given. Moreover, the last few generalized Hamming weights for narrow and primitive BCH codes are determined.
-
Wei V K. Generalized Hamming weights for linear codes. IEEE Trans. on IT, 1991, IT-37(5): 1412-1418.[2]Wei V K, Yang K. On the generalized Hamming weights of product codes. IEEE Trans. on IT, 1993, IT-39(5): 1709-1713.[3]Feng G L, et al. On the generalized Hamming weights for several classes of cyclic codes. IEEE Trans. on IT, 1992, IT-38(3): 1125-1130.[4]Mac Williams F J, Sloane N J A. The Theory of Error-Corrorecting Codes. Amsterdam: North-[5]Holland Publishing Company, 1997, Chapter 9 and Chapter 12.[6]Van der Geer G, van der Vlugt M. On the generalized Hamming weights of BCH codes. IEEE Trans. on IT, 1994, IT-40(2): 543-546.[7]Chung H. The 2-nd Generalized Hamming Weights of Double-Error-Correcting Binary BCH Codes and Their Dual Codes. In: Lecture Note in Computer Scicence, Vol.539, AAECC-9, New York: Springer-Verlag, 1991, 118-129.[8]Tzeng K K, Zimmermann K. On extending Goppa codes to cyclic codes. IEEE Trans. on IT, 1975, IT-21(6): 712-716.[9]冯贵良.Goppa码最小距离下限和维数上限的扩张.电子学报,1983,11(2): 66-72.
计量
- 文章访问数: 2313
- HTML全文浏览量: 124
- PDF下载量: 387
- 被引次数: 0