A note on t-designs in isodual codes

2023/08/17 by Awada, Madoka, Miezaki, Tsuyoshi, Munemasa, Akihiro +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.2309.03206

Abstract

In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.

Related

• Exceptional designs in some extended quadratic residue codes
• Infinite series of 3-designs in the extended quadratic residue code
• Infinite families of 2-designs and 3-designs from linear codes
• Infinite families of t-designs from a type of five-weight codes
• Some 3-designs invariant under 2.PΣL(2,49).