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

2023/10/22 by Awada, Madoka
#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.2310.14281

Abstract

In this paper, we show infinite series of 3-designs in the extended quadratic residue codes over \mathbb F_r² for a prime r.

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