Exceptional designs in some extended quadratic residue codes

2023/05/05 by Reina Ishikawa, Ishikawa, Reina
Computer Science · #Coding theory and cryptography #Combinatorics (math.CO) #Cryptography and Residue Arithmetic #FOS: Computer and information sciences #FOS: Mathematics #Group Theory (math.GR) #Information Theory (cs.IT) #Number Theory (math.NT) #Primary 94B05 #Quantum-Dot Cellular Automata #Secondary 05B05

paper · pdf · doi:10.48550/arxiv.2305.03285

openalex publication_date 2023/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper, we give proofs of the existence of a 3-design in the extended ternary quadratic residue code of length 14 and the extended quaternary quadratic residue code of length 18.

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