On the classification of certain ternary codes of length 12

Makoto Araya, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

Abstract

Shimada and Zhang studied the existence of polarizations on some supersingular K3 surfaces by reducing the existence of the polarizations to that of ternary [12,5] codes satisfying certain conditions. In this note, we give a classification of ternary [12,5] codes satisfying the conditions. To do this, ternary [10,5] codes are classified for minimum weights 3 and 4.

Original languageEnglish
Pages (from-to)87-96
Number of pages10
JournalHiroshima Mathematical Journal
Volume46
Issue number1
DOIs
Publication statusPublished - 2016 Mar

Keywords

  • Classification
  • Ternary code
  • Weight enumerator

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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