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

2023/10/24 by Awada, Madoka, Ishikawa, Reina, Miezaki, Tsuyoshi +1
#Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Group Theory (math.GR) #Information Theory (cs.IT) #Number Theory (math.NT) #Primary 94B05 #Secondary 05B05

paper · doi:10.48550/arxiv.2310.15856

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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