Existence of new extremal doubly-even codes and extremal singly-even codes

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25 Citations (Scopus)


Recently the author and Kimura have considered a construction of doubly-even codes from a given doubly-even code. In this note, we show that the restricutoion of doubly-even can be removed in the above construction. As an application, at least 137 inequivalent extremal doubly-even [56,28,12] codes and at least 1000 inequivalent extremal doubly-even [40, 20, 8] codes are constructed from known self-dual codes. The existence of new extremal singly-even codes is also described.

Original languageEnglish
Pages (from-to)273-283
Number of pages11
JournalDesigns, Codes, and Cryptography
Issue number3
Publication statusPublished - 1996


  • Extremal Doubly-Even Codes
  • Extremal Singly-Even Codes
  • Generator Matrices


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