Abstract

The study of optical orthogonal code has been motivated by an application in fiber-optic code division multiple access (FO-CDMA) systems. An optical orthogonal code is a family of binary (0, 1) sequences with good correlation property, as a preferred address code, generally used in non-coherent FO-CDMA systems. Construction for optical orthogonal code (OOC) is closely related to cyclic difference family (CDF). In this paper, we state the fundamental relationship between (v, k, 1) OOC and (v, k, 1) CDF. Based on this relationship, an approach of constructing (v, k, 1) OOC from finite field is suggested. With the assistance design of computer, some results are obtained. By making use of these results, we obtained some optimal (v, k, 1) optical orthogonal codes (OOC's) for k = 4, 5 and 6, here, v is a prime number.

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