On disjoint \((v,k,k-1)\) difference families

DOI10.1007/S10623-018-0511-4zbMath1407.05037arXiv1705.04844OpenAlexW2825029479MaRDI QIDQ670197

Marco Buratti

Publication date: 18 March 2019

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04844

zbMATH Keywords

Frobenius groupFerrero pairdisjoint difference familyPisano periodzero difference balanced function

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

Three classes of partitioned difference families and their optimal constant composition codes ⋮ Partitioned difference families and harmonious linear spaces ⋮ The preimage distributions of a class of zero-difference balanced functions and their partitioned difference families ⋮ Partitioned difference families: the storm has not yet passed ⋮ Graph decompositions in projective geometries ⋮ Partitionable sets, almost partitionable sets, and their applications ⋮ The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class ⋮ Strong external difference families in abelian and non-abelian groups ⋮ Novák's conjecture on cyclic Steiner triple systems and its generalization ⋮ Hadamard partitioned difference families and their descendants ⋮ Partitioned difference families versus zero-difference balanced functions ⋮ Internal and external partial difference families and cyclotomy

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