A note on t-designs in isodual codes

Madoka Awada; Tsuyoshi Miezaki; Akihiro Munemasa; Hiroyuki Nakasora

doi:10.1016/j.ffa.2024.102366

A note on t-designs in isodual codes

Madoka Awada, Tsuyoshi Miezaki^*, Akihiro Munemasa, Hiroyuki Nakasora

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

3 Citations (Scopus)

Abstract

In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.

Original language	English
Article number	102366
Journal	Finite Fields and Their Applications
Volume	95
DOIs	https://doi.org/10.1016/j.ffa.2024.102366
Publication status	Published - 2024 Mar

Keywords

Combinatorial t-design
Extended quadratic residue code
Harmonic weight enumerator
Jacobi polynomial

ASJC Scopus subject areas

Theoretical Computer Science
Algebra and Number Theory
General Engineering
Applied Mathematics

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10.1016/j.ffa.2024.102366

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title = "A note on t-designs in isodual codes",

abstract = "In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.",

keywords = "Combinatorial t-design, Extended quadratic residue code, Harmonic weight enumerator, Jacobi polynomial",

author = "Madoka Awada and Tsuyoshi Miezaki and Akihiro Munemasa and Hiroyuki Nakasora",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",

year = "2024",

month = mar,

doi = "10.1016/j.ffa.2024.102366",

language = "English",

volume = "95",

journal = "Finite Fields and Their Applications",

issn = "1071-5797",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - A note on t-designs in isodual codes

AU - Awada, Madoka

AU - Miezaki, Tsuyoshi

AU - Munemasa, Akihiro

AU - Nakasora, Hiroyuki

PY - 2024/3

Y1 - 2024/3

N2 - In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.

AB - In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.

KW - Combinatorial t-design

KW - Extended quadratic residue code

KW - Harmonic weight enumerator

KW - Jacobi polynomial

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U2 - 10.1016/j.ffa.2024.102366

DO - 10.1016/j.ffa.2024.102366

M3 - Article

AN - SCOPUS:85183134022

SN - 1071-5797

VL - 95

JO - Finite Fields and Their Applications

JF - Finite Fields and Their Applications

M1 - 102366

ER -

A note on t-designs in isodual codes

Abstract

Keywords

ASJC Scopus subject areas

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