Acta mathematica scientia,Series A

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Generalized Hamming Weights and Semilinear Equivalence of Codes

Liu Hongwei
  

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079
  • Received:2004-05-24 Revised:2005-12-28 Online:2006-10-25 Published:2006-10-25
  • Contact: Liu Hongwei

Abstract:

Let σ be an automorphism on a field ( F. It is proved in this paper that any σ-semilinear isomorphism between two linear codes which preserves one generalized Hamming weight is a σ -semilinear monomial equivalence.

Key words: Equivalence of codes, Generalized Hamming weight, Semilinear isometry, Semilinear monomial equivalence

CLC Number: 

  • 94B05
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