Construction and nonexistence of strong external difference families

DOI10.1007/s10801-018-0812-8zbMath1480.05021arXiv1701.05705OpenAlexW2964086002MaRDI QIDQ2633458

Shuxing Li, Jonathan Jedwab

Publication date: 8 May 2019

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05705

zbMATH Keywords

Mathieu groupcharacter sumfinite projective geometrypartial difference setexponent boundstrong external difference family

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (7)

Nonexistence of strong external difference families in abelian groups of order being product of at most three primes ⋮ Algebraic manipulation detection codes via highly nonlinear functions ⋮ Strong external difference families in abelian and non-abelian groups ⋮ Some results on generalized strong external difference families ⋮ Some nonexistence results for \((v,m,k,pq)\)-strong external difference families ⋮ On optimal weak algebraic manipulation detection codes and weighted external difference families ⋮ Internal and external partial difference families and cyclotomy

Uses Software

• ATLAS Group Representations

Cites Work

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