Binary formally self-dual odd codes

Sunghyu Han, Heisook Lee, Yoonjin Lee

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Most of the research on formally self-dual (f.s.d.) codes has been developed for binary f.s.d. even codes, but only limited research has been done for binary f.s.d. odd codes. In this article we complete the classification of binary f.s.d. odd codes of lengths up to 14. We also classify optimal binary f.s.d. odd codes of length 18 and 24, so our result completes the classification of binary optimal f.s.d. odd codes of lengths up to 26. For this classification we first find a relation between binary f.s.d. odd codes and binary f.s.d. even codes, and then we use this relation and the known classification results on binary f.s.d. even codes. We also classify (possibly) optimal binary double circulant f.s.d. odd codes of lengths up to 40.

Original languageEnglish
Pages (from-to)141-150
Number of pages10
JournalDesigns, Codes, and Cryptography
Issue number2
StatePublished - Nov 2011


  • Formally self-dual codes
  • Formally self-dual even codes
  • Formally self-dual odd codes


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