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- W2554841569 abstract "Motivated by the application to three-dimensional optical orthogonal codes, we consider the constructions for a w -cyclic holey group divisible design of type ( u , w v ) with block size k , which is denoted by w -cyclic k -HGDD of type ( u , w v ) . The necessary conditions of such a design, namely u , v ≥ k , ( u − 1 ) ( v − 1 ) w ≡ 0 ( m o d k − 1 ) and u ( u − 1 ) v ( v − 1 ) w ≡ 0 ( m o d k ( k − 1 ) ) , are shown to be sufficient for k = 3 . As an application, we give a complete solution of the existence problem of perfect three-dimensional optical orthogonal codes of weight three with both at most one-pulse per spatial plane and at most one-pulse per wavelength plane properties." @default.
- W2554841569 created "2016-11-30" @default.
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- W2554841569 date "2017-07-01" @default.
- W2554841569 modified "2023-09-24" @default.
- W2554841569 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=mml1 display=inline overflow=scroll altimg=si1.gif><mml:mi>w</mml:mi></mml:math>-cyclic holey group divisible designs and their application to three-dimensional optical orthogonal codes" @default.
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- W2554841569 doi "https://doi.org/10.1016/j.disc.2016.09.015" @default.
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