The weight distribution of the self-dual [128, 64] polarity design code

Masaaki Harada, Ethan Novak, Vladimir D. Tonchev

Research output: Contribution to journalArticle

Abstract

The weight distribution of the binary self-dual [128, 64] code being the extended code C* of the code C spanned by the incidence vectors of the blocks of the polarity design in P G (6, 2) [11] is computed. It is shown also that R(3, 7) and C* have no self-dual [128, 64, d] neighbor with d ∈ {20, 24}.

Original languageEnglish
Pages (from-to)643-648
Number of pages6
JournalAdvances in Mathematics of Communications
Volume10
Issue number3
DOIs
Publication statusPublished - 2016 Aug

Keywords

  • Polarity design
  • Reed-Muller code
  • Self-dual code
  • Weight distribution

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computer Networks and Communications
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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