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Few-weight quaternary codes via simplicial complexes

  • Received: 18 January 2021 Accepted: 03 March 2021 Published: 10 March 2021
  • MSC : 94B05

  • In this paper, we construct quaternary linear codes via simplicial complexes and we also determine the weight distributions of these codes. Moreover, we present an infinite family of minimal quaternary linear codes, which also meet the Griesmer bound.

    Citation: Xiaomeng Zhu, Yangjiang Wei. Few-weight quaternary codes via simplicial complexes[J]. AIMS Mathematics, 2021, 6(5): 5124-5132. doi: 10.3934/math.2021303

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  • In this paper, we construct quaternary linear codes via simplicial complexes and we also determine the weight distributions of these codes. Moreover, we present an infinite family of minimal quaternary linear codes, which also meet the Griesmer bound.



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  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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