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Exceptional designs in some extended quadratic residue codes

Combinatorics 2023-06-29 v4 Information Theory Group Theory math.IT Number Theory
Authors: Reina Ishikawa
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Abstract

In the present paper, we give proofs of the existence of a 3-design in the extended ternary quadratic residue code of length 14 and the extended quaternary quadratic residue code of length 18.

Keywords

combinatorial designs

Cite

@article{arxiv.2305.03285,
  title  = {Exceptional designs in some extended quadratic residue codes},
  author = {Reina Ishikawa},
  journal= {arXiv preprint arXiv:2305.03285},
  year   = {2023}
}

Comments

15 pages

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