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- W2286070462 abstract "In this paper, we further investigate the constructions on three-dimensional $(utimes vtimes w,k,1)$ optical orthogonal codes with the at most one optical pulse per wavelength/time plane restriction (briefly AM-OPP $3$-D $(utimes vtimes w,k,1)$-OOCs) by way of the corresponding designs. Several new auxiliary designs such as incomplete holey group divisible designs and incomplete group divisible packings are introduced and therefore new constructions are presented. As a consequence, the exact number of codewords of an optimal AM-OPP $3$-D $(utimes vtimes w,3,1)$-OOC is finally determined for any positive integers $v,w$ and $ugeq3$." @default.
- W2286070462 created "2016-06-24" @default.
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- W2286070462 date "2016-01-23" @default.
- W2286070462 modified "2023-09-23" @default.
- W2286070462 title "Determination of sizes of optimal three-dimensional optical orthogonal codes of weight three with the AM-OPP restriction" @default.
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- W2286070462 doi "https://doi.org/10.48550/arxiv.1602.07944" @default.
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