Classification of extremal self-dual quaternary codes of lengths 30 and 32

Hyun Jin Kim, Yoonjin Lee

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1 Citation (Scopus)

Abstract

We classify extremal Hermitian self-dual quaternary codes of lengths 30 and 32 with an automorphism of odd prime order. We prove that there exists exactly one extremal Hermitian self-dual [30,15,12] quaternary code with a nontrivial automorphism of odd prime order, up to equivalence; the order of its automorphism group is 36 540. In fact, this code is equivalent to the extended quadratic residue code. We also prove that there exists no extremal Hermitian self-dual [36,16,12] quaternary code with a nontrivial automorphism of odd prime order.

Original languageEnglish
Article number6387599
Pages (from-to)2352-2358
Number of pages7
JournalIEEE Transactions on Information Theory
Volume59
Issue number4
DOIs
Publication statusPublished - 2013 Apr

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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