Applications of additive sequence of permutations

DOI10.1016/J.DISC.2009.06.018zbMath1229.05007OpenAlexW2011429443MaRDI QIDQ1045183

J. Blot

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.06.018

zbMATH Keywords

perfect difference familyadditive sequence of permutationhomogeneous uniform difference matrixproperly centered permutation matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Permutations, words, matrices (05A05)

Related Items (2)

Further results on \((v,4,1)\)-perfect difference families ⋮ Perfect difference families, perfect difference matrices, and related combinatorial structures

Cites Work

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• Existence of \((q,6,1)\) difference families with \(q\) a prime power
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Constructions of \((q,k,1)\) difference families with \(q\) a prime power and \(k=4,5\)
• Orthomorphisms of Groups and Orthogonal Latin Squares. I
• A Systematic Construction for Radar Arrays
• Existence of (q,k, 1) difference families withq a prime power andk = 4, 5
• New bounds for the sizes of radar arrays
• Existence of (q, 7, 1) difference families with q a prime power
• Construction of Additive Sequences of Permutations of Arbitrary Lengths
• Improving two theorems of bose on difference families
• Constructions for optimal constant weight cyclically permutable codes and difference families

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