Remark on a 5-design related to a putative extremal doubly-even self-dual [96, 48, 20] code

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Abstract

In this note, it is shown that if there is a self-orthogonal 5-(96,20,816) design, then the rows of its block-point incidence matrix generate an extremal doubly-even self-dual code of length 96. In other words, a putative extremal doubly-even self-dual code of length 96 is generated by the codewords of minimum weight.

Original languageEnglish
Pages (from-to)355-358
Number of pages4
JournalDesigns, Codes, and Cryptography
Volume37
Issue number2
DOIs
Publication statusPublished - 2005 Nov

Keywords

  • 5-design
  • Extremal doubly-even salf-dual code

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