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Research Article | Open Access

New classes of few-weight ternary codes from simplicial complexes

Yang Pan1,2( ), Yan Liu1
College of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, China
Wuxi Institute of Technology, Wuxi 214121, China
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Abstract

In this article, we describe two classes of few-weight ternary codes, compute their minimum weight and weight distribution from mathematical objects called simplicial complexes. One class of codes described here has the same parameters with the binary first-order Reed-Muller codes. A class of (optimal) minimal linear codes is also obtained in this correspondence.

Keywords

simplicial complexesternary codesminimal linear codesoptimal linear codes
CLC number: 94A60, 94B05

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 4315-4325
DOI: 10.3934/math.2022239

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Cite this article:
Pan Y, Liu Y. New classes of few-weight ternary codes from simplicial complexes. AIMS Mathematics, 2022, 7(3): 4315-4325. https://doi.org/10.3934/math.2022239

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Received: 16 September 2021
Revised: 14 November 2021
Accepted: 21 November 2021
Published: 15 March 2021
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)