Some extremal self-dual codes and unimodular lattices in dimension 40

Stefka Bouyuklieva; Iliya Bouyukliev; Masaaki Harada

doi:10.1016/j.ffa.2013.01.009

Some extremal self-dual codes and unimodular lattices in dimension 40

Stefka Bouyuklieva, Iliya Bouyukliev, Masaaki Harada

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singly even self-dual codes of length 40. We also give a classification of extremal odd unimodular lattices in dimension 40 with shadows having 80 vectors of norm 2 through their relationships with extremal doubly even self-dual codes of length 40.

Original language	English
Pages (from-to)	67-83
Number of pages	17
Journal	Finite Fields and Their Applications
Volume	21
DOIs	https://doi.org/10.1016/j.ffa.2013.01.009
Publication status	Published - 2013

Keywords

Self-dual code
Shadow
Singly even code
Unimodular lattice

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10.1016/j.ffa.2013.01.009

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title = "Some extremal self-dual codes and unimodular lattices in dimension 40",

abstract = "In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singly even self-dual codes of length 40. We also give a classification of extremal odd unimodular lattices in dimension 40 with shadows having 80 vectors of norm 2 through their relationships with extremal doubly even self-dual codes of length 40.",

keywords = "Self-dual code, Shadow, Singly even code, Unimodular lattice",

author = "Stefka Bouyuklieva and Iliya Bouyukliev and Masaaki Harada",

note = "Funding Information: The authors would like to thank Masaaki Kitazume and Hiroki Shimakura for useful discussions. This work is supported in part by the Bulgarian NSF under Contract I01/0003/2012, JST PRESTO program and JSPS KAKENHI Grant Number 23340021.",

year = "2013",

doi = "10.1016/j.ffa.2013.01.009",

language = "English",

volume = "21",

pages = "67--83",

journal = "Finite Fields and Their Applications",

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TY - JOUR

T1 - Some extremal self-dual codes and unimodular lattices in dimension 40

AU - Bouyuklieva, Stefka

AU - Bouyukliev, Iliya

AU - Harada, Masaaki

N1 - Funding Information: The authors would like to thank Masaaki Kitazume and Hiroki Shimakura for useful discussions. This work is supported in part by the Bulgarian NSF under Contract I01/0003/2012, JST PRESTO program and JSPS KAKENHI Grant Number 23340021.

PY - 2013

Y1 - 2013

N2 - In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singly even self-dual codes of length 40. We also give a classification of extremal odd unimodular lattices in dimension 40 with shadows having 80 vectors of norm 2 through their relationships with extremal doubly even self-dual codes of length 40.

AB - In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singly even self-dual codes of length 40. We also give a classification of extremal odd unimodular lattices in dimension 40 with shadows having 80 vectors of norm 2 through their relationships with extremal doubly even self-dual codes of length 40.

KW - Self-dual code

KW - Shadow

KW - Singly even code

KW - Unimodular lattice

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DO - 10.1016/j.ffa.2013.01.009

M3 - Article

AN - SCOPUS:84873740786

SN - 1071-5797

VL - 21

SP - 67

EP - 83

JO - Finite Fields and Their Applications

JF - Finite Fields and Their Applications

ER -

Some extremal self-dual codes and unimodular lattices in dimension 40

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Keywords

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