Constructions of Optimal Optical Orthogonal Codes with Weights Set 5,7 via Cyclic Packing

Bichang Huang, Dan Luo, Wenxing Zhu and Fazal M. Mahomed

Mathematical Problems in Engineering, 2022, vol. 2022, 1-10

Abstract: Double-weight optical orthogonal codes are variable-weight optical orthogonal codes (OOCs), which have been widely applied in optical networks and systems. Some works have been devoted to optimal n,W,1,Q-OOCs with maxw:w∈W≤6. So far, there is no explicit construction of optimal n,W,1,Q-OOCs with W=5,7. It is known that heavier-weight codewords have better code performance than lighter-weight codewords. So, in this paper, we use cyclic packing to construct two infinite classes of optimal OOCs with weights set 5,7 explicitly, for any prime p≡3mod4 and p≥7. In addition, for 1≤t

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3368661

DOI: 10.1155/2022/3368661

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