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Combinatorial Constructions of Optimal Three-Dimensional Optical Orthogonal Codes

机译:最佳三维光学正交码的组合构造

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摘要

In this paper, we study three-dimensional optical orthogonal codes (OOCs) with at most one optical pulse per wavelength/time plane (AM-OPP) restriction, which is denoted by AM-OPP 3-D -OOC. We build an equivalence relation between such an OOC and a certain combinatorial subject, called a -cyclic group divisible packing of type . By this link, the upper bound of the number of codewords is improved and some new combinatorial constructions are presented. As an application, the exact number of codewords of an optimal AM-OPP 3-D -OOC is determined for any positive integers , and with some possible exceptions.
机译:在本文中,我们研究了每个波长/时间平面(AM-OPP)限制最多具有一个光脉冲的三维光学正交码(OOC),用AM-OPP 3-D -OOC表示。我们在这样的OOC和某个组合主题之间建立了等价关系,称为a型环群可除包装。通过该链接,提高了码字数量的上限,并提出了一些新的组合结构。作为一种应用,可以确定任意正整数的最佳AM-OPP 3-D -OOC的码字的确切数量,并且可能会有一些例外。

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