Almost difference sets and reversible divisible difference sets

DOI10.1007/BF01194853zbMath0794.05008OpenAlexW2042816375MaRDI QIDQ1325233

James A. Davis

Publication date: 16 August 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194853

zbMATH Keywords

reversibledivisible difference setsalmost difference set

Mathematics Subject Classification ID

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

Related Items (19)

A note on almost difference sets in nonabelian groups ⋮ Exhaustive Search for Optimal Minimum Peak Sidelobe Binary Sequences up to Length 80 ⋮ Toward the classification of biangular harmonic frames ⋮ Almost difference sets in nonabelian groups ⋮ A new class of near-optimal partial Fourier codebooks from an almost difference set ⋮ A technique for constructing divisible difference sets ⋮ New \((q,K,\lambda)\)-ADFs via cyclotomy ⋮ Some nonexistence results on generalized difference sets ⋮ Constructions of almost difference sets from finite fields ⋮ A note on cyclic almost difference families ⋮ Constructions of \((q,K,\lambda, t,Q)\) almost difference families ⋮ The existence of \((q,k,\lambda ,t)\)-ADFs for \(k=4,5,6\) ⋮ The existence of almost difference families ⋮ Partial Geometric Difference Families ⋮ Some results on generalized difference sets ⋮ Highly nonlinear mappings ⋮ Almost designs and their links with balanced incomplete block designs ⋮ New semiregular divisible difference sets ⋮ A note on new semi-regular divisible difference sets

Cites Work

• Unnamed Item
• New constructions of divisible designs
• A new family of relative difference sets
• Divisible difference sets with multiplier -1
• A special class of Williamson matrices and difference sets
• Variations on a scheme of McFarland for noncyclic difference sets
• Symmetric divisible designs with \(k-\lambda{}_ 1=1\)
• Abelian divisible difference sets with multiplier \(-1\)
• New constructions of Menon difference sets
• On divisible difference sets which are fixed by the inverse
• Character sums and difference sets
• A family of difference sets in non-cyclic groups

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