A construction of group divisible designs with zero block sum

2016/12/30 by Chong‐Dao Lee, Lee, Chong-Dao, Yaotsu Chang +3
Computer Science · Engineering · Mathematics · #05B05 #51E05 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1612.09397

openalex publication_date 2016/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper gives a construction of group divisible designs on the binary extension fields with block sizes 3, 4, 5, 6, and 7, respectively, which is motivated from the decoding of binary quadratic residue codes. A conjecture is proposed for this construction of group divisible designs with larger block sizes.

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