Some new families of optical orthogonal codes for code-division multiple-access fibre-optic networks

Abstract

An optical orthogonal code (OOC) is a collection of binary sequences with good auto- and cross-correlation properties; they were defined by Chung and others as a means of obtaining code division multiple access on optical networks. In the paper three new families of OOCs are constructed from the balanced incompleted block design techniques. The first family of the codes is with ideal auto- and cross-correlation properties and they have optimal cardinalities. The other two families of the codes are with ideal auto-correlation and nearly ideal cross-correlation properties. The second family of the codes is demonstrated to have twice as many codewords as the optimal codes. The third family of the codes is demonstrated to have more codewords than the quadratic congruence codes when the weight of the codeword is less than eight.