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Infinite series of $3$-designs in the extended quadratic residue code

Combinatorics 2024-06-06 v4 Information Theory Group Theory math.IT Number Theory

Abstract

In this paper, we show infinite series of 33-designs in the extended quadratic residue codes over Fr2\mathbb {F}_{r^2} for a prime rr.

Keywords

Cite

@article{arxiv.2310.14281,
  title  = {Infinite series of $3$-designs in the extended quadratic residue code},
  author = {Madoka Awada},
  journal= {arXiv preprint arXiv:2310.14281},
  year   = {2024}
}

Comments

14 pages. arXiv admin note: text overlap with arXiv:2309.03206; text overlap with arXiv:2305.03285 by other authors