Existence and non-existence results for strong external difference families

DOI10.1016/J.DISC.2017.08.007zbMath1372.05023arXiv1611.05652OpenAlexW2554815699MaRDI QIDQ2411598

Sophie Huczynska, Maura B. Paterson

Publication date: 24 October 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05652

zbMATH Keywords

strong external difference familyAMD code

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (9)

Construction and nonexistence of 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 ⋮ 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

Cites Work

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• Cyclotomic construction of strong external difference families in finite fields
• New existence and nonexistence results for strong external difference families
• Cyclotomy and difference families in elementary Abelian groups
• Partial Difference Sets with Paley Parameters
• Some Nonexistence Results for Strong External Difference Families Using Character Theory
• Detection of Algebraic Manipulation with Applications to Robust Secret Sharing and Fuzzy Extractors

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