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Recursive constructions for optimal \((n,4,2)\)-OOCs. (English) Zbl 1073.94027

Using set-theoretic definition of optical orthogonal code (OOC) and close relation between OOCs and (partial) cyclic \(t\)-designs the authors address the problem of recursive constructions for (a family of) optimal OOCs. They first make use of the known basic construction to provide the majority of codewords needed in the optimal OOC. Then, the search for the remaining part is reduced to a finite maximal clique problem (MCP). By finding an optimal solution for the MCP an optimal OOCs is then constructed.

MSC:

94B25 Combinatorial codes
05B05 Combinatorial aspects of block designs
Full Text: DOI

References:

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