New Families of Optimal Variable-Weight Optical Orthogonal Codes With High Weights

Abstract

The optical orthogonal codes (OOCs) have been widely used as spreading codes in communication systems employing the unipolar transmission. They are classified into constant-weight OOCs (CW-OOCs) and variable-weight OOCs (VW-OOCs) according to the number of distinct Hamming weights which their codewords have. In this paper, we present a new generic construction of VW-OOCs of length (q − 1)N from a CW-OOC of length N, where q is a prime power and gcd(q − 1, N) = 1. As a result, three new families of optimal VW-OOCs with a maximum correlation value 1 are obtained. In particular, these families can have the codewords of high weights, while most of the previously known optimal VW-OOCs have only codewords of weight less than 8.

A New Hybrid Prime Code for OCDMA Network Multimedia Applications

“…In the last three decades, there were two main categories of optical orthogonal codes, based on (0, 1) logic, and were introduced into the optical code division multiple access (OCDMA) networks. The first code category refers to the optical orthogonal codes (OOCs) and is designed with low off-peak, auto-and cross-correlation properties for the purposes of frame synchronization and minimum interference [1][2][3][4][5][6][7][8][9]. The second one refers to the prime codes (PCs) and is designed to sacrifice the auto-correlation property [10][11][12][13][14][15][16][17][18][19][20][21].…”