Compatible difference packing set systems and their applications to multilength variable-weight OOCs
DOI10.1007/s10623-021-00927-yOpenAlexW3197086533MaRDI QIDQ2109386
Huangsheng Yu, Hengming Zhao, Rongcun Qin
Publication date: 21 December 2022
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-021-00927-y
Weil's theorem on multiplicative character sumsdifference packingsmultilength variable-weight optical orthogonal codesrelative difference familiessemicyclic group divisible designs
Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other character sums and Gauss sums (11T24) Combinatorial codes (94B25)
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Cites Work
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- Resolvable generalized difference matrices: existence and applications
- Semicyclic 4-GDDs and related two-dimensional optical orthogonal codes
- Orbit-disjoint regular \((n, 3, 1)\)-CDPs and their applications to multilength OOCs
- Some 20-regular CDP(5,1;20\(u\)) and their applications
- Further progress on difference families with block size 4 or 5
- Strong difference families, difference covers, and their applications for relative difference families
- Combinatorial designs and the theorem of Weil on multiplicative character sums
- Existence of \((q,6,1)\) difference families with \(q\) a prime power
- Some combinatorial constructions for optical orthogonal codes
- A general construction for optimal cyclic packing designs
- 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 of \((q,k,1)\) difference families with \(q\) a prime power and \(k=4,5\)
- Bounds and constructions for multilength variable-weight optical orthogonal codes
- Some series of optimal multilength OOCs of weight four
- Optical orthogonal codes: their bounds and new optimal constructions
- Variable-weight optical orthogonal codes for CDMA networks with multiple performance requirements
- On Balanced Optimal (18u,{3,4},1) Optical Orthogonal Codes
- New Families of Optimal Variable-Weight Optical Orthogonal Codes With High Weights
- Multilength Optical Orthogonal Codes: New Upper Bounds and Optimal Constructions
- Optical orthogonal codes: design, analysis and applications
- Existence of (q, 7, 1) difference families with q a prime power
- Combinatorial constructions of optimal optical orthogonal codes with weight 4
- Relative Difference Families With Variable Block Sizes and Their Related OOCs
- Optimal Variable-Weight Optical Orthogonal Codes via Difference Packings
- Two-Dimensional Optical Orthogonal Codes and Semicyclic Group Divisible Designs
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