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

October 24, 2023 · The Ethereal · 🏛 arXiv.org

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Authors Madoka Awada, Reina Ishikawa, Tsuyoshi Miezaki, Yuuho Tanaka arXiv ID 2310.15856 Category math.CO: Combinatorics Cross-listed cs.IT, math.GR, math.NT Citations 0 Venue arXiv.org Last Checked 3 months ago
Abstract
In this paper, we provide a criterion for determining whether multiple shells support a $t$-design. We construct as a corollary an infinite series of $2$-designs using power residue codes.
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