Further results on \((v,4,1)\)-perfect difference families

DOI10.1016/J.DISC.2010.03.017zbMath1231.05031OpenAlexW2087905563MaRDI QIDQ973130

Yan Xun Chang, Xiao Miao Wang

Publication date: 28 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2010.03.017

zbMATH Keywords

additive sequence of permutationsoptimal OOCperfect difference family

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other types of codes (94B60) Graph labelling (graceful graphs, bandwidth, etc.) (05C78)

Related Items (10)

Optimal (v, 4, 2, 1) optical orthogonal codes with small parameters ⋮ Geometric orthogonal codes and geometrical difference packings ⋮ Bounds and Constructions on (v, 4, 3, 2) Optical Orthogonal Codes ⋮ Optimal \((v,5,2,1)\) optical orthogonal codes of small \(v\) ⋮ Combinatorial constructions for maximum optical orthogonal signature pattern codes ⋮ Optimal 2-D \((n\times m,3,2,1)\)-optical orthogonal codes and related equi-difference conflict avoiding codes ⋮ Some progress on optimal 2-D \((n\times m,3,2,1) \)-optical orthogonal codes ⋮ The sizes of optimal \((n,4,\lambda,3)\) optical orthogonal codes ⋮ Semi-cyclic holey group divisible designs with block size three ⋮ Classification of optimal \((v, 4, 1)\) binary cyclically permutable constant-weight codes and cyclic \(2\)-\((v, 4, 1)\) designs with \(v \leq 76\).

Cites Work

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• Optical orthogonal codes: their bounds and new optimal constructions
• Optimal (9v, 4, 1) Optical Orthogonal Codes
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• Optical orthogonal codes: design, analysis and applications
• Addition Theorems for Perfect Systems of Difference Sets
• Constructions for optimal (υ, 4, 1) optical orthogonal codes
• Combinatorial constructions of optimal optical orthogonal codes with weight 4
• Construction of Additive Sequences of Permutations of Arbitrary Lengths

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