Compatible difference packing set systems and their applications to multilength variable-weight OOCs

Qin, Rongcun; Zhao, Hengming; Yu, Huangsheng

doi:10.1007/s10623-021-00927-y

Des. Codes Cryptogr.

2021

DOI: 10.1007/s10623-021-00927-y

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Compatible difference packing set systems and their applications to multilength variable-weight OOCs

Rongcun Qin

Hengming Zhao

Huangsheng Yu

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2022

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“…, 1 k ). Some work had been done on optimal balanced (N, M, W, µ; λ)-MLVWO OC with weight set W = {3, 4}, {3, 5}, see [30], [21] and references therein.…”

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confidence: 99%

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Constructions of balanced (N, M, {4, 5}, 1;2) Multilength Variable-Weight optical orthogonal codes

Zhao

Qin

2022

AMC

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Multilength variable-weight optical orthogonal codes(MLVWOOCs) are recently proposed for supporting multirate and integrated multimedia services in optical code division multiple access (OCDMA) networks. Some work had been done on MLVWOOCs with weight set <inline-formula><tex-math id="M1">\begin{document}$ W = \{3, 4\} $\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id="M2">\begin{document}$ \{3, 5\} $\end{document}</tex-math></inline-formula>. In this paper, we consider MLVWOOCs with <inline-formula><tex-math id="M3">\begin{document}$ W = \{4, 5\} $\end{document}</tex-math></inline-formula>, and some several infinite classes of optimal MLVWOOCs are obtained.

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“…, 1 k ). Some work had been done on optimal balanced (N, M, W, µ; λ)-MLVWO OC with weight set W = {3, 4}, {3, 5}, see [30], [21] and references therein.…”

mentioning

confidence: 99%

“…Lemma 4.1. ( [21]) Let m ≥ 2, r ≥ 1, s ≥ 1 and n ≥ 0 be integers such that q ≡ 1 (mod m) be a prime power, A = {a 1 , a 2 , . .…”

mentioning

confidence: 99%

Constructions of balanced (N, M, {4, 5}, 1;2) Multilength Variable-Weight optical orthogonal codes

Zhao

Qin

2022

AMC

Self Cite

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Compatible difference packing set systems and their applications to multilength variable-weight OOCs

Cited by 1 publication

References 33 publications

Constructions of balanced (<i>N</i>, <i>M</i>, {4, 5}, 1;2) Multilength Variable-Weight optical orthogonal codes

Constructions of balanced (<i>N</i>, <i>M</i>, {4, 5}, 1;2) Multilength Variable-Weight optical orthogonal codes

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