Lee-extremal self-dual codes over 2 + u2 of lengths 23 and 24

Research output: Contribution to journalArticle

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Abstract

We completely classify the Lee-extremal self-dual codes over 2+u2 of lengths 23 and 24 with a nontrivial automorphism of odd order. In particular, we show that there is no Lee-extremal self-dual code of length 23 with a nontrivial automorphism of odd order, there are 41 inequivalent Lee-extremal Type I codes of length 24 with a nontrivial automorphism of odd order and there exists one Lee-extremal Type II code of length 24 with a nontrivial automorphism of odd order, up to equivalence. Moreover, Lee-extremal Type II codes of length 24 have an automorphism of order 3.

Original languageEnglish
Pages (from-to)18-33
Number of pages16
JournalFinite Fields and their Applications
Volume29
DOIs
Publication statusPublished - 2014 Jan 1

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Extremal Codes
Self-dual Codes
Automorphism
Odd
Classify
Equivalence

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

Cite this

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abstract = "We completely classify the Lee-extremal self-dual codes over 2+u2 of lengths 23 and 24 with a nontrivial automorphism of odd order. In particular, we show that there is no Lee-extremal self-dual code of length 23 with a nontrivial automorphism of odd order, there are 41 inequivalent Lee-extremal Type I codes of length 24 with a nontrivial automorphism of odd order and there exists one Lee-extremal Type II code of length 24 with a nontrivial automorphism of odd order, up to equivalence. Moreover, Lee-extremal Type II codes of length 24 have an automorphism of order 3.",
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Lee-extremal self-dual codes over 2 + u2 of lengths 23 and 24. / Kim, Hyun Jin.

In: Finite Fields and their Applications, Vol. 29, 01.01.2014, p. 18-33.

Research output: Contribution to journalArticle

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