New extremal doubly-even [64, 32, 12] codes

Masaaki Harada; Hiroshi Kimura

doi:10.1007/BF01398007

New extremal doubly-even [64, 32, 12] codes

Masaaki Harada, Hiroshi Kimura

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

11 Citations (Scopus)

Abstract

In this paper, we consider a general construction of doubly-even self-dual codes. From three symmetric 2-(31, 10, 3) designs, we construct at least 3228 inequivalent extremal doubly-even [64, 32, 12] codes. These codes are distinguished by their K-matrices.

Original language	English
Pages (from-to)	91-96
Number of pages	6
Journal	Designs, Codes and Cryptography
Volume	6
Issue number	2
DOIs	https://doi.org/10.1007/BF01398007
Publication status	Published - 1995 Sep 1
Externally published	Yes

Keywords

extremal codes
generator matrices and symmetric designs
self-dual codes

ASJC Scopus subject areas

Theoretical Computer Science
Applied Mathematics
Computational Theory and Mathematics

Access to Document

10.1007/BF01398007

Fingerprint Dive into the research topics of 'New extremal doubly-even [64, 32, 12] codes'. Together they form a unique fingerprint.

Cite this

@article{0bfecb9a922c44f28be62a7e93230526,

title = "New extremal doubly-even [64, 32, 12] codes",

abstract = "In this paper, we consider a general construction of doubly-even self-dual codes. From three symmetric 2-(31, 10, 3) designs, we construct at least 3228 inequivalent extremal doubly-even [64, 32, 12] codes. These codes are distinguished by their K-matrices.",

keywords = "extremal codes, generator matrices and symmetric designs, self-dual codes",

author = "Masaaki Harada and Hiroshi Kimura",

year = "1995",

month = sep,

day = "1",

doi = "10.1007/BF01398007",

language = "English",

volume = "6",

pages = "91--96",

journal = "Designs, Codes, and Cryptography",

issn = "0925-1022",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - New extremal doubly-even [64, 32, 12] codes

AU - Harada, Masaaki

AU - Kimura, Hiroshi

PY - 1995/9/1

Y1 - 1995/9/1

N2 - In this paper, we consider a general construction of doubly-even self-dual codes. From three symmetric 2-(31, 10, 3) designs, we construct at least 3228 inequivalent extremal doubly-even [64, 32, 12] codes. These codes are distinguished by their K-matrices.

AB - In this paper, we consider a general construction of doubly-even self-dual codes. From three symmetric 2-(31, 10, 3) designs, we construct at least 3228 inequivalent extremal doubly-even [64, 32, 12] codes. These codes are distinguished by their K-matrices.

KW - extremal codes

KW - generator matrices and symmetric designs

KW - self-dual codes

UR - http://www.scopus.com/inward/record.url?scp=1642526602&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1642526602&partnerID=8YFLogxK

U2 - 10.1007/BF01398007

DO - 10.1007/BF01398007

M3 - Article

AN - SCOPUS:1642526602

VL - 6

SP - 91

EP - 96

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

SN - 0925-1022

IS - 2

ER -