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math.COMay 31, 2022
1
citations (OpenAlex)
authors
  • Minjia Shi
  • Denis S. Krotov
  • Patrick Solé
institutions
  • Anhui University
  • Centrale Méditerranée
  • Centre National de la Recherche Scientifique
  • Institut de Mathématiques de Marseille
  • Institut Polytechnique de Bordeaux
  • Sobolev Institute of Mathematics
arXiv abstractPDF
paper

On the coset graph construction of distance-regular graphs

arXiv:2206.00031 · doi:10.1016/j.disc.2022.113037

Abstract

We show that no more new distance-regular graphs in the tables of the book of (Brouwer, Cohen, Neumaier, 1989) can be produced by using the coset graph of additive completely regular codes over finite fields.

References in corpus (3)

  • Additive perfect codes in Doob graphs
  • A new distance-regular graph of diameter 3 on 1024 vertices
  • A new approach to the Kasami codes of type 2
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