Certain self-dual codes over ℤ4 and the odd leech lattice

T. Aaron Gulliver, Masaaki Harada

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

Recently, alternative constructions of the Leech lattice and the shorter Leech lattice have been discovered using self-dual codes over ℤ4. In this paper, we provide a classification of length 24 double circulant Type I codes over ℤ4 with minimum Euclidean weight 12. These codes determine (via Construction A4) the odd Leech lattice, which is a unique 24-dimensional odd unimodular lattice with minimum norm 3.

Original languageEnglish
Title of host publicationApplied Algebra, Algebraic Algorithms and Error-Correcting Codes - 12th International Symposium, AAECC- 12, Proceedings
EditorsTeo Mora, Harold Mattson
PublisherSpringer-Verlag
Pages130-137
Number of pages8
ISBN (Print)3540631631, 9783540631637
DOIs
Publication statusPublished - 1997 Jan 1
Externally publishedYes
Event12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1997 - Toulouse, France
Duration: 1997 Jun 231997 Jun 27

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1255
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1997
CountryFrance
CityToulouse
Period97/6/2397/6/27

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Fingerprint Dive into the research topics of 'Certain self-dual codes over ℤ<sub>4</sub> and the odd leech lattice'. Together they form a unique fingerprint.

Cite this