The sizes of optimal \((n,4,\lambda,3)\) optical orthogonal codes

DOI10.1016/J.DISC.2012.07.007zbMath1268.94038OpenAlexW233791630MaRDI QIDQ456650

Yuemei Huang, Yan Xun Chang

Publication date: 16 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.disc.2012.07.007

zbMATH Keywords

orbitsizegroup actionoptimaloptical orthogonal code

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial codes (94B25)

Related Items (4)

The sizes of maximal \((v,k,k-2,k-1)\) optical orthogonal codes ⋮ New bound and constructions for geometric orthogonal codes and geometric 180-rotating orthogonal codes ⋮ Determination of the sizes of optimal geometric orthogonal codes with parameters \((n \times m, k, \lambda, k-1)\) ⋮ Maximum two-dimensional \((u\times v, 4, 1, 3)\)-OOCs

Cites Work

• New results on optimal \((v,4,2,1)\) optical orthogonal codes
• Further results on optimal \((v,4,2,1)\)-OOCs
• Constructions for strictly cyclic 3-designs and applications to optimal OOCs with \(\lambda =2\)
• Further results on \((v,4,1)\)-perfect difference families
• Geometric constructions of optimal optical orthogonal codes
• New enumeration results about the optical orthogonal codes
• Further results on optimal optical orthogonal codes with weight 4.
• Optimal \((n,4,2)\)-OOC of small orders.
• Some combinatorial constructions for optical orthogonal codes
• Cyclic designs with block size 4 and related optimal optical orthogonal codes
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Constructions for optimal optical orthogonal codes
• Optical orthogonal codes: their bounds and new optimal constructions
• Optimal (9v, 4, 1) Optical Orthogonal Codes
• Recursive constructions for optimal (n,4,2)-OOCs
• Optimal (4up, 5, 1) optical orthogonal codes
• A New Class of Optimal Optical Orthogonal Codes With Weight Five
• Families of Optimal OOCs With $\lambda = 2$
• Optical orthogonal codes: design, analysis and applications
• Constructions for optimal (υ, 4, 1) optical orthogonal codes
• Constructions of optimal optical orthogonal codes with weight five
• Combinatorial constructions of optimal optical orthogonal codes with weight 4
• Bounds and Constructions of Optimal ($n, 4, 2, 1$) Optical Orthogonal Codes

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