Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes

Makoto Araya, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We give restrictions on the weight enumerators of ternary near-extremal self-dual codes of length divisible by 12 and quaternary near-extremal Hermitian self-dual codes of length divisible by 6. We consider the weight enumerators for which there is a ternary near-extremal self-dual code of length 12m for m= 3 , 4 , 5 , 6. Also we consider the weight enumerators for which there is a quaternary near-extremal Hermitian self-dual code of length 6m for m= 4 , 5 , 6.

Original languageEnglish
Pages (from-to)1813-1843
Number of pages31
JournalDesigns, Codes, and Cryptography
Volume91
Issue number5
DOIs
Publication statusPublished - 2023 May

Keywords

  • Near-extremal quaternary Hermitian self-dual code
  • Near-extremal ternary self-dual code
  • Self-dual code
  • Weight enumerator
  • t-design

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