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arXiv 1907.04588math.CO
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权值为3互相关约束为1的最优光正交签名模式码

Optimal optical orthogonal signature pattern codes with weight three and cross-correlation constraint one

Rong Pan, Tao Feng, Lidong Wang, Xiaomiao Wang

摘要:

光正交签名模式码(OOSPC)作为空间光码分多址网络的签名模式,受到了广泛的关注。本文建立了一个改进的上界的$(m,n,3,λ_a,1)$ -OOSPC与$λ_a=2,3$的大小。对于任何正整数$m,n\equiv2\ ({\rm mod }\ 4)$和$λ_a\in\{2,3\}$,确定最佳$(m,n,3,λ_a,1)$ -OOSPC的码字的确切数目。

英文摘要:

Optical orthogonal signature pattern codes (OOSPCs) have attracted wide attention as signature patterns of spatial optical code division multiple access networks. In this paper, an improved upper bound on the size of an $(m,n,3,λ_a,1)$-OOSPC with $λ_a=2,3$ is established. The exact number of codewords of an optimal $(m,n,3,λ_a,1)$-OOSPC is determined for any positive integers $m,n\equiv2\ ({\rm mod }\ 4)$ and $λ_a\in\{2,3\}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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