English

A criterion for determining whether multiple shells support a $t$-design

Combinatorics 2025-03-17 v3 Information Theory Group Theory math.IT Number Theory

Abstract

In this paper, we provide a criterion for determining whether multiple shells support a tt-design. We construct as a corollary an infinite series of 22-designs using power residue codes.

Keywords

Cite

@article{arxiv.2310.15856,
  title  = {A criterion for determining whether multiple shells support a $t$-design},
  author = {Madoka Awada and Reina Ishikawa and Tsuyoshi Miezaki and Yuuho Tanaka},
  journal= {arXiv preprint arXiv:2310.15856},
  year   = {2025}
}

Comments

The third named author will present more general results

R2 v1 2026-06-28T13:00:19.263Z