Non-existence and construction of pre-difference sets, and equi-distributed subsets in association schemes

DOI10.1007/s00373-021-02279-9zbMath1479.05367OpenAlexW3132355121MaRDI QIDQ2051873

Takayuki Okuda, Makoto Matsumoto, Hiroki Kajiura

Publication date: 25 November 2021

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-021-02279-9

zbMATH Keywords

association schemedifference setequi-distributed subsetpre-difference setrelation-partition

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Uses Software

• GAP

Cites Work

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• A summary of noncylic difference sets, \(k<20\)
• A note on difference sets in dihedral groups
• An algebraic approach to association schemes
• Character sums and difference sets
• On Difference Sets Whose Parameters Satisfy a Certain Relation

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