Constructions for strictly cyclic 3-designs and applications to optimal OOCs with \(\lambda =2\)

DOI10.1016/J.JCTA.2008.03.003zbMath1161.05014OpenAlexW2086831230MaRDI QIDQ958756

Lijun Ji, Tao Feng, Yan Xun Chang

Publication date: 8 December 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2008.03.003

zbMATH Keywords

recursive constructionSteiner quadruple system3-design\(t\)-wise balanced design\(s\)-fan design\(h\) designmaximal packing quadruple systemoptimal optical orthogonal codes (OOCs)strictly cyclic

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Triple systems (05B07) Combinatorial codes (94B25) Combinatorial aspects of packing and covering (05B40)

Related Items (27)

Combinatorial constructions of optimal \((m,n,4,2)\) optical orthogonal signature pattern codes ⋮ Bounds and Constructions on (v, 4, 3, 2) Optical Orthogonal Codes ⋮ New optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4 ⋮ Design and analysis of periodic multiple seeds ⋮ Combinatorial constructions for maximum optical orthogonal signature pattern codes ⋮ Classification of Cyclic Steiner Quadruple Systems ⋮ 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 ⋮ Two classes of optimal two-dimensional OOCs ⋮ On affine-invariant two-fold quadruple systems ⋮ 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 \((v,5,2,1)\) optical orthogonal codes ⋮ The sizes of optimal \((n,4,\lambda,3)\) optical orthogonal codes ⋮ Bounds and constructions for \((v,W,2,Q)\)-OOCs ⋮ Further results on optimal \((v,4,2,1)\)-OOCs ⋮ Affine-invariant strictly cyclic Steiner quadruple systems ⋮ Maximum two-dimensional \((u\times v, 4, 1, 3)\)-OOCs ⋮ Constructions for rotational Steiner quadruple systems ⋮ Symmetric abelian group-invariant Steiner quadruple systems ⋮ Constructions of dihedral Steiner quadruple systems ⋮ Optimal optical orthogonal signature pattern codes with weight three and cross-correlation constraint one ⋮ Constructions of Strictlym-Cyclic and Semi-Cyclic H(m,n,4,3) ⋮ Constructions for cyclic 3-designs and improved results on cyclic Steiner quadruple systems ⋮ Steiner quadruple systems with point-regular abelian automorphism groups ⋮ Constructions of optical orthogonal codes based on cyclic \(t\)-wise quasi-difference matrices

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