The support designs of the triply even binary codes of length 48

Tsuyoshi Miezaki; Hiroyuki Nakasora

doi:10.1002/jcd.21670

The support designs of the triply even binary codes of length 48

Tsuyoshi Miezaki^*, Hiroyuki Nakasora

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

In this paper, we present examples of codes all of whose weight classes support 1-designs, with duals whose classes include two that support 2-designs. We can find these examples in the triply even binary codes of length 48, which have been classified by Betsumiya and Munemasa.

Original language	English
Pages (from-to)	673-681
Number of pages	9
Journal	Journal of Combinatorial Designs
Volume	27
Issue number	11
DOIs	https://doi.org/10.1002/jcd.21670
Publication status	Published - 2019 Nov 1
Externally published	Yes

Keywords

harmonic weight enumerator
support designs
triply even binary codes

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1002/jcd.21670

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abstract = "In this paper, we present examples of codes all of whose weight classes support 1-designs, with duals whose classes include two that support 2-designs. We can find these examples in the triply even binary codes of length 48, which have been classified by Betsumiya and Munemasa.",

keywords = "harmonic weight enumerator, support designs, triply even binary codes",

author = "Tsuyoshi Miezaki and Hiroyuki Nakasora",

note = "Funding Information: The authors thank Koichi Betsumiya and Akihiro Munemasa for helpful discussions on and computations for this study. The authors would also like to thank the anonymous reviewers for their beneficial comments on an earlier version of the manuscript. The first author is supported by Japan Society for the Promotion of Science KAKENHI (18K03217). Publisher Copyright: {\textcopyright} 2019 Wiley Periodicals, Inc.",

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N2 - In this paper, we present examples of codes all of whose weight classes support 1-designs, with duals whose classes include two that support 2-designs. We can find these examples in the triply even binary codes of length 48, which have been classified by Betsumiya and Munemasa.

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The support designs of the triply even binary codes of length 48

Abstract

Keywords

ASJC Scopus subject areas

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