北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2000, Vol. 23 ›› Issue (2): 82-86.

• 短文 • 上一篇    下一篇

GF(pm)(p>2)上RS码的子空间子码的维数

吴秋新,杨义先,胡正名,孙伟   

  1. 北京邮电大学信息工程系, 北京100876
  • 收稿日期:1999-10-12 出版日期:2000-03-10
  • 作者简介:吴秋新(1966-),男,江西吉安人,博士生.
  • 基金资助:
    国家自然科学基金资助项目(69882002,69772035)

On Dimension of Subspace Subcodes of RS Codes over Field GF(pm)(p>2)

WU Qiu-xin, YANG Yi-xina, HU Zheng-ming, SUN Wei   

  1. Department of Information Engineering,Beijing University of Posts and Telecommunications,Beijing 100876,China
  • Received:1999-10-12 Online:2000-03-10

摘要: 研究了有限域GF(pm)(p>2)上RS码的子空间子码(SSRS)的结构,给出了SSRS码的维数计算公式.

关键词: 循环码, RS码, SSRS码, 维数

Abstract: An SSRS code is a subset of a Reed-Solomon(RS) code consisting of the RS codewords whose components all lie in a fixed υ-dimensional vector subspace S of GF(pm),SSRS codes are not linear over the field GF(pm),but they are linear over GF(p).In this paper we calculated dimension of the SSRS(subspace subcodes of Reed-Solomon codes)over the fleld GF(pm)(p>2).

Key words: cyclic codes, RS codes, SSRS codes, dimension

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