Further progress on difference families with block size 4 or 5
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Publication:977187
DOI10.1007/s10623-009-9335-6zbMath1198.94186OpenAlexW2076434069MaRDI QIDQ977187
Publication date: 21 June 2010
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-009-9335-6
Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Combinatorial codes (94B25)
Related Items (36)
Resolvable generalized difference matrices: existence and applications ⋮ Combinatorial constructions of optimal \((m,n,4,2)\) optical orthogonal signature pattern codes ⋮ The existence of cyclic \((v, 4, 1)\)-designs ⋮ Bounds and Constructions on (v, 4, 3, 2) Optical Orthogonal Codes ⋮ Optimal \((v,5,2,1)\) optical orthogonal codes of small \(v\) ⋮ Further results on optimal \((n, \{3, 4, 5\}, \Lambda_a, 1, Q)\)-OOCs ⋮ Constructions of optimal two-dimensional optical orthogonal codes with AM-OPPW restriction for \(\lambda = 2\) ⋮ Optimal 2-D \((n\times m,3,2,1)\)-optical orthogonal codes and related equi-difference conflict avoiding codes ⋮ Constructions for optimal \((u\times v,\{3,4\},1,Q)\)-OOSPCs ⋮ Constructions of balanced \((N, M, \{4, 5\}, 1; 2)\) multilength variable-weight optical orthogonal codes ⋮ Some progress on optimal 2-D \((n\times m,3,2,1) \)-optical orthogonal codes ⋮ New results on optimal \((v,4,2,1)\) optical orthogonal codes ⋮ New optimal optical orthogonal codes by restrictions to subgroups ⋮ On optimal (Z6m×Z6n,4,1) and (Z2m×Z18n,4,1) difference packings and their related codes ⋮ Partitionable sets, almost partitionable sets, and their applications ⋮ On optimal \((v,5,2,1)\) optical orthogonal codes ⋮ Unified combinatorial constructions of optimal optical orthogonal codes ⋮ Further results on balanced \((n, \{3, 4 \}, \Lambda_a, 1)\)-OOCs ⋮ Bounds and constructions for multilength variable-weight optical orthogonal codes ⋮ Bounds and constructions for \((v,W,2,Q)\)-OOCs ⋮ Further results on optimal \((v,4,2,1)\)-OOCs ⋮ Classification of optimal \((v,k,1)\) binary cyclically permutable constant weight codes with \(k=5, 6\) and \(7\) and small lengths ⋮ THE EXISTENCE OF CYCLIC {\rm BIBD}(v,4,\lambda)- A SURVEY AND NEW RESULTS ⋮ Bounds and constructions for optimal \((n, \{3, 5 \}, \varLambda_a, 1, Q)\)-OOCs ⋮ Combinatorial constructions for optimal multiple-weight optical orthogonal signature pattern codes ⋮ On disjoint \((3t,3,1)\) cyclic difference families ⋮ Some 20-regular CDP(5,1;20\(u\)) and their applications ⋮ Constructions for cyclic Moebius ladder systems ⋮ On silver and golden optical orthogonal codes ⋮ Note on a construction of short \(k\)-radius sequences ⋮ Optimal optical orthogonal signature pattern codes with weight three and cross-correlation constraint one ⋮ Some series of optimal multilength OOCs of weight four ⋮ Classification of optimal \((v, 4, 1)\) binary cyclically permutable constant-weight codes and cyclic \(2\)-\((v, 4, 1)\) designs with \(v \leq 76\). ⋮ Maximum \(w\)-cyclic holey group divisible packings and their application to three-dimensional optical orthogonal codes ⋮ Optimal three-dimensional optical orthogonal codes of weight three ⋮ Compatible difference packing set systems and their applications to multilength variable-weight OOCs
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