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Designs, Codes and Cryptography

Erschienen in:

01.04.2016

An upper bound of the value of \(t\) of the support \(t\)-designs of extremal binary doubly even self-dual codes

verfasst von: Tsuyoshi Miezaki, Hiroyuki Nakasora

Erschienen in: Designs, Codes and Cryptography | Ausgabe 1/2016

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Abstract

Let \(C\) be an extremal binary doubly even self-dual code of length \(n\) and \(D_{w}\) be the support design of \(C\) for a weight \(w\). We introduce the two numbers \(\delta (C)\) and \(s(C)\): \(\delta (C)\) is the largest integer \(t\) such that, for all wight, \(D_{w}\) is a \(t\)-design; \(s(C)\) denotes the largest integer \(t\) such that there exists a \(w\) such that \(D_{w}\) is a \(t\)-design. In this paper, we consider the possible values of \(\delta (C)\) and \(s(C)\).

Vorheriger Artikel Existence of optimal strong partially balanced 3-designs with block size four

Nächster Artikel The homogeneous weight partition and its character-theoretic dual

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Titel: An upper bound of the value of of the support -designs of extremal binary doubly even self-dual codes
verfasst von: Tsuyoshi Miezaki
Hiroyuki Nakasora
Publikationsdatum: 01.04.2016
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 1/2016
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-014-0033-7

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An upper bound of the value of \(t\) of the support \(t\)-designs of extremal binary doubly even self-dual codes

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