Constructions of optical orthogonal codes based on cyclic \(t\)-wise quasi-difference matrices

DOI10.1080/15598608.2012.647495zbMath1418.05042OpenAlexW2147428827MaRDI QIDQ2322061

Koji Momihara

Publication date: 27 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2012.647495

zbMATH Keywords

Jacobi sumoptical orthogonal coderelative difference familycyclotomic number\(t\)-wise quasi-difference matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of packing and covering (05B40)

Cites Work

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• New optimal optical orthogonal codes by restrictions to subgroups
• Recursive constructions for cyclic block designs
• Constructions for strictly cyclic 3-designs and applications to optimal OOCs with \(\lambda =2\)
• Geometric constructions of optimal optical orthogonal codes
• Uniform cyclotomy
• A general construction for optimal cyclic packing designs
• Constructions for optimal optical orthogonal codes
• Optical orthogonal codes and arcs in \(\mathrm{PG}(d,q)\)
• Classes of optical orthogonal codes from ARCS in root subspaces
• Optical orthogonal codes-new bounds and an optimal construction
• A new recursive construction for optical orthogonal codes
• A Generalized Bose-Chowla Family of Optical Orthogonal Codes and Distinct Difference Sets
• Optical orthogonal codes: design, analysis and applications
• Orthogonal Arrays of Index Unity

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