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应用科学学报 ›› 1984, Vol. 2 ›› Issue (1): 43-48.

• 论文 • 上一篇    下一篇

修改RS码子域子码最小距离下限的改进

冯贵良1, K. K. Tzeng2   

  1. 1. 上海计算技术研究所;
    2. Lehigh University U.S.A
  • 收稿日期:1982-02-02 出版日期:1984-03-31 发布日期:1984-03-31

AN IMPROVEMENT ON GENERALIZATION OF THE BOUND FOR SUBFIELD SUBCODES OFMODIFIED REED-SOLOMON CODES

G. L. FENG1, K. K. TZENG2   

  1. 1. Shanghai Institute of Computer Technology;
    2. Lehigh University, U.S.A
  • Received:1982-02-02 Online:1984-03-31 Published:1984-03-31

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摘要： 本文改进了修改RS码子域子码最小距离下限扩张的定理,使更多的修改RS码子域子码最小距离下限得以扩张.本文的结果也十分容易推广到由Lagrange插值公式决定的广义Goppa码中去.

Abstract: In this paper we have improved the theorem on generalization of the bound for subfield subcodes of modified Reed-Solomon codes. It can generalize the bound of minimun distance for more subfield subcodes of modified Reed-Solomon codes. The result in this paper can be easily extended to the generalized Goppa codes defined by Lagrange's interpolation formula.