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Volume 21 Issue 2
Mar.  1999
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Yue Dianwu, Hu Zhengming. GENERALIZED HAMMING WEIGHTS FOR Goppa CODES AND BCH CODES[J]. Journal of Electronics & Information Technology, 1999, 21(2): 267-272.
Citation: Yue Dianwu, Hu Zhengming. GENERALIZED HAMMING WEIGHTS FOR Goppa CODES AND BCH CODES[J]. Journal of Electronics & Information Technology, 1999, 21(2): 267-272.

GENERALIZED HAMMING WEIGHTS FOR Goppa CODES AND BCH CODES

  • Received Date: 1997-08-01
  • Rev Recd Date: 1998-03-09
  • Publish Date: 1999-03-19
  • 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.
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  • 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.
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