Some Nonexistence Results for Strong External Difference Families Using Character Theory

zbMath1377.05020arXiv1610.06432MaRDI QIDQ5365420

William J. Martin, Douglas R. Stinson

Publication date: 6 October 2017

Full work available at URL: https://arxiv.org/abs/1610.06432

zbMATH Keywords

difference familycharacter theoryexternal difference familyAMD codes

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other types of codes (94B60)

Related Items (11)

Construction and nonexistence of strong external difference families ⋮ Existence and non-existence results for strong external difference families ⋮ Weighted external difference families and R-optimal AMD codes ⋮ Nonexistence of strong external difference families in abelian groups of order being product of at most three primes ⋮ Cyclotomic construction of strong external difference families in finite fields ⋮ New existence and nonexistence results for strong external difference families ⋮ 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

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