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

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An Erratum to this article was published on 18 July 2014

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 \(t \ge 6\).

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Acknowledgments

This work was supported by JSPS KAKENHI Grant Number 22840003, 24740031.

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Authors and Affiliations

  1. Graduate School of Science, Chiba University, Chiba, 263-8522, Japan

    Naoyuki Horiguchi

  2. Faculty of Education, Art and Science, Yamagata University, Yamagata, 990-8560, Japan

    Tsuyoshi Miezaki

  3. Graduate School of Natural Science and Technology, Okayama University, Okayama, 700-8530, Japan

    Hiroyuki Nakasora

Authors
  1. Naoyuki Horiguchi
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  2. Tsuyoshi Miezaki
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  3. Hiroyuki Nakasora
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Correspondence to Tsuyoshi Miezaki.

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Communicated by V. D. Tonchev.

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Horiguchi, N., Miezaki, T. & Nakasora, H. On the support designs of extremal binary doubly even self-dual codes. Des. Codes Cryptogr. 72, 529–537 (2014). https://doi.org/10.1007/s10623-012-9782-3

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  • DOI: https://doi.org/10.1007/s10623-012-9782-3

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