On balanced optimal \((18u,\{3,4\},1)\) optical orthogonal codes (Q2909600)

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scientific article; zbMATH DE number 6074521
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On balanced optimal \((18u,\{3,4\},1)\) optical orthogonal codes
scientific article; zbMATH DE number 6074521

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    30 August 2012
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    optical orthogonal code
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    relative difference family
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    variable-weight code
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    On balanced optimal \((18u,\{3,4\},1)\) optical orthogonal codes (English)
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    The current work continues work by the author and others, including [\textit{H. Zhao} et al., J. Comb. Des. 18, No. 4, 274--291 (2010; Zbl 1201.94133)], on constructing optical orthogonal codes (OOCs) with codewords of different weights. The author considers OOCs with weight set \(\{3,4\}\) that are balanced (have equally many words of weights 3 and 4), and constructs optimal such codes of length \(18u\) for every \(u > 1\).
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