Extremal self-dual [40,20,8] codes with covering radius 7

M Harada; A Munemasa; K Tanabe; Kenichiro TANABE

doi:10.1016/j.ffa.2003.08.001

Extremal self-dual [40,20,8] codes with covering radius 7

M Harada, A Munemasa, K Tanabe, Kenichiro TANABE

Natural Science Division

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

Abstract

We construct new extremal self-dual [40, 20, 8] codes with covering radius 7. It is also shown that the vectors of a fixed weight in a coset of weight 4n + 2 in an extremal doubly even self-dual code of length 24n + 16 such that the coset has no vector of weight 4n + 4 form a 1-design. (C) 2003 Elsevier Inc. All rights reserved.

Translated title of the contribution	Extremal self-dual [40,20,8] codes with covering radius 7
Original language	English
Pages (from-to)	183 - 197
Journal	Finite Fields and their Applications
Volume	10
Issue number	2
DOIs	https://doi.org/10.1016/j.ffa.2003.08.001
State	Published - Apr 2004

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10.1016/j.ffa.2003.08.001

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title = "Extremal self-dual [40,20,8] codes with covering radius 7",

abstract = "We construct new extremal self-dual [40, 20, 8] codes with covering radius 7. It is also shown that the vectors of a fixed weight in a coset of weight 4n + 2 in an extremal doubly even self-dual code of length 24n + 16 such that the coset has no vector of weight 4n + 4 form a 1-design. (C) 2003 Elsevier Inc. All rights reserved.",

author = "\{M Harada\} and \{A Munemasa\} and \{K Tanabe\} and Kenichiro TANABE",

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AU - M Harada, null

AU - A Munemasa, null

AU - K Tanabe, null

AU - TANABE, Kenichiro

PY - 2004/4

Y1 - 2004/4

N2 - We construct new extremal self-dual [40, 20, 8] codes with covering radius 7. It is also shown that the vectors of a fixed weight in a coset of weight 4n + 2 in an extremal doubly even self-dual code of length 24n + 16 such that the coset has no vector of weight 4n + 4 form a 1-design. (C) 2003 Elsevier Inc. All rights reserved.

AB - We construct new extremal self-dual [40, 20, 8] codes with covering radius 7. It is also shown that the vectors of a fixed weight in a coset of weight 4n + 2 in an extremal doubly even self-dual code of length 24n + 16 such that the coset has no vector of weight 4n + 4 form a 1-design. (C) 2003 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.ffa.2003.08.001

DO - 10.1016/j.ffa.2003.08.001

M3 - 記事

SN - 1071-5797

VL - 10

SP - 183

EP - 197

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

IS - 2

ER -

Extremal self-dual [40,20,8] codes with covering radius 7

Abstract

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