Construction of self-dual codes over F2 + uF2

Sunghyu Han, Heisook Lee, Yoonjin Lee

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We present two kinds of construction methods for self-dual codes over F2 + uF2. Specially, the second construction (respectively, the first one) preserves the types of codes, that is, the constructed codes from Type II (respectively, Type IV) is also Type II (respectively, Type IV). Every Type II (respectively, Type IV) code over F2 + uF2 of free rank larger than three (respectively, one) can be obtained via the second construction (respectively, the first one). Using these constructions, we update the information on self-dual codes over F2 + uF2 of length 9 and 10, in terms of the highest minimum (Hamming, Lee, or Euclidean) weight and the number of inequivalent codes with the highest minimum weight.

Original languageEnglish
Pages (from-to)135-143
Number of pages9
JournalBulletin of the Korean Mathematical Society
Volume49
Issue number1
DOIs
StatePublished - 2012

Keywords

  • Building-up construction
  • Codes over ring
  • Self-dual code

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