On some self-dual codes and unimodular lattices in dimension 48

Masaaki Harada, Masaaki Kitazume, Akihiro Munemasa, Boris Venkov

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

In this paper, binary extremal self-dual codes of length 48 and extremal unimodular lattices in dimension 48 are studied through their shadows and neighbors. We relate an extremal singly even self-dual [48, 24, 10] code whose shadow has minimum weight 4 to an extremal doubly even self-dual [48, 24, 12] code. It is also shown that an extremal odd unimodular lattice in dimension 48 whose shadow has minimum norm 2 relates to an extremal even unimodular lattice. Extremal singly even self-dual [48, 24, 10] codes with shadows of minimum weight 8 and extremal odd unimodular lattice in dimension 48 with shadows of minimum norm 4 are investigated.

Original languageEnglish
Pages (from-to)543-557
Number of pages15
JournalEuropean Journal of Combinatorics
Volume26
Issue number5
DOIs
Publication statusPublished - 2005 Jul

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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