Orbit-disjoint regular \((n, 3, 1)\)-CDPs and their applications to multilength OOCs

DOI10.1016/J.FFA.2015.04.001zbMath1327.05037OpenAlexW2289539844MaRDI QIDQ492000

Jingjun Bao, Lijun Ji, Yang Li, Cheng Min Wang

Publication date: 19 August 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.04.001

zbMATH Keywords

cyclic difference packingcyclically relative difference familycyclotomic numbermultilength optical orthogonal code

Mathematics Subject Classification ID

Applications of design theory to circuits and networks (94C30) Triple systems (05B07) Combinatorial codes (94B25)

Related Items (8)

The completion of optimal cyclic quaternary codes of weight 3 and distance 3 ⋮ Resolvable generalized difference matrices: existence and applications ⋮ Constructions of balanced \((N, M, \{4, 5\}, 1; 2)\) multilength variable-weight optical orthogonal codes ⋮ New 2-designs from strong difference families ⋮ Bounds and constructions for multilength variable-weight optical orthogonal codes ⋮ Constructions of cyclic quaternary constant-weight codes of weight three and distance four ⋮ Some series of optimal multilength OOCs of weight four ⋮ Compatible difference packing set systems and their applications to multilength variable-weight OOCs

Cites Work

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• Some 20-regular CDP(5,1;20\(u\)) and their applications
• Decomposing triples into cyclic designs
• The spectrum of \((gv, g, 3, \lambda )\)-DF in \(Z_{gv}\)
• Room designs and one-factorizations
• Some combinatorial constructions for optical orthogonal codes
• Cyclic designs with block size 4 and related optimal optical orthogonal codes
• Orthogonal starters in finite abelian groups
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Cyclotomy and difference families in elementary Abelian groups
• Optical orthogonal codes: their bounds and new optimal constructions
• Optimal (9v, 4, 1) Optical Orthogonal Codes
• Multilength Optical Orthogonal Codes: New Upper Bounds and Optimal Constructions
• Optimal (4up, 5, 1) optical orthogonal codes
• The cyclotomic numbers of order twelve
• Optical orthogonal codes: design, analysis and applications
• Existence of (q,k, 1) difference families withq a prime power andk = 4, 5
• Constructions for optimal (υ, 4, 1) optical orthogonal codes
• Cyclotomy, Higher Congruences, and Waring's Problem

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