The Weight Hierarchy of Higher Dimensional Hermitian Codes

J. W.P. Hirschfeld, M. A. Tsfasman, S. G. Viăduţ

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31 Citations (Scopus)

Abstract

We study a class of projective systems and linear codes corre-sponding to Hermitian varieties over finite fields. The weight hierarchy, also known as the set of generalized Hamming weights, of the code is calculated. The higher weight distribution is also found.

Original languageEnglish
Pages (from-to)275-278
Number of pages4
JournalIEEE Transactions on Information Theory
Volume40
Issue number1
DOIs
Publication statusPublished - Jan 1994
Externally publishedYes

Keywords

  • Hermitian variety
  • linear code
  • projective system
  • weight hierarchy

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