A (k, d)-arc N in a projective plane PG(2, q) of order q is a set of k distinct points such that any line in the plane meets N in at most d points. In this article, we consider a family of (k, d)-arcs for several positive integers k, each pair of which has at most m points in common. Such a family is used to obtain a variable-weight optical orthogonal code, which is used to multimedia optical code division multiple access (CDMA) communications.
k-Arcs Variable-weight optical orthogonal codes
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