On the support designs of extremal binary doubly even self-dual codes

Naoyuki Horiguchi; Tsuyoshi Miezaki; Hiroyuki Nakasora

doi:10.1007/s10623-012-9782-3

On the support designs of extremal binary doubly even self-dual codes

Naoyuki Horiguchi, Tsuyoshi Miezaki^*, Hiroyuki Nakasora

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

Let D be the support design of the minimum weight of an extremal binary doubly even self-dual [24m,12m,4m+4] code. In this note, we consider the case when D becomes a t -design with t ≥ 6.

Original language	English
Pages (from-to)	529-537
Number of pages	9
Journal	Designs, Codes, and Cryptography
Volume	72
Issue number	3
DOIs	https://doi.org/10.1007/s10623-012-9782-3
Publication status	Published - 2014 Sept
Externally published	Yes

Keywords

Assmus-Mattson theorem
Codes
t -designs

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

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10.1007/s10623-012-9782-3

Cite this

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title = "On the support designs of extremal binary doubly even self-dual codes",

abstract = "Let D be the support design of the minimum weight of an extremal binary doubly even self-dual [24m,12m,4m+4] code. In this note, we consider the case when D becomes a t -design with t ≥ 6.",

keywords = "Assmus-Mattson theorem, Codes, t -designs",

author = "Naoyuki Horiguchi and Tsuyoshi Miezaki and Hiroyuki Nakasora",

year = "2014",

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doi = "10.1007/s10623-012-9782-3",

language = "English",

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AU - Horiguchi, Naoyuki

AU - Miezaki, Tsuyoshi

AU - Nakasora, Hiroyuki

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N2 - Let D be the support design of the minimum weight of an extremal binary doubly even self-dual [24m,12m,4m+4] code. In this note, we consider the case when D becomes a t -design with t ≥ 6.

AB - Let D be the support design of the minimum weight of an extremal binary doubly even self-dual [24m,12m,4m+4] code. In this note, we consider the case when D becomes a t -design with t ≥ 6.

KW - Assmus-Mattson theorem

KW - Codes

KW - t -designs

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M3 - Article

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On the support designs of extremal binary doubly even self-dual codes

Abstract

Keywords

ASJC Scopus subject areas

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