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Maximum -cyclic holely group divisible packings with block size three and applications to optical orthogonal codes
In this paper we investigate combinatorial constructions for -cyclic
holely group divisible packings with block size three (briefly by -HGDPs).
For any positive integers with , the exact number
of base blocks of a maximum -cyclic -HGDP of type is
determined. This result is used to determine the exact number of codewords in a
maximum three-dimensional optical orthogonal code
with at most one optical pulse per spatial plane and per wavelength plane.Comment: 33 page