A New Construction of Optimal Optical Orthogonal Codes From Sidon Sets

• Main Authors: Hamilton M. Ruiz, Luis M. Delgado, Carlos A. Trujillo
• Format: Article
• Language: English
• Published: IEEE 2020-01-01
• Series: IEEE Access
• Subjects: Optical code-division multiple access (OCDMA); optical orthogonal code (OOC); optical CDMA; Sidon set
• Online Access: https://ieeexplore.ieee.org/document/9098920/

Two new constructions for families of optical orthogonal codes are presented. The first is a generalization of the well-known construction of Sidon sets given by I. Z. Ruzsa. The second construction is optimal with respect to the Johnson bound, and its parameters (n, w, λ) are respectively (p^h+1 - p, p, 1), where p is any prime, h is an integer greater than 1 and the family size is p^h-1 + p^h-2 + ⋯ + p² + p.