Extremal type i Zk-codes and k-frames of odd unimodular lattices

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3 Citations (Scopus)

Abstract

For some extremal (optimal) odd unimodular lattice L in dimensions 12, 16, 20, 28, 32, 36, 40, and 44, we determine all integers k such that L contains a k-frame. This result yields the existence of an extremal Type I Zk-code of lengths 12, 16, 20, 32, 36, 40, and 44, and a near-extremal Type I Zk-code of length 28 for positive integers k with only a few exceptions.

Original languageEnglish
Article number6960045
Pages (from-to)72-81
Number of pages10
JournalIEEE Transactions on Information Theory
Volume61
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1

Keywords

  • Self-dual code
  • frame
  • unimodular lattice

ASJC Scopus subject areas

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

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