A new code construction with zero cross correlation based on BIBD

• Published in: Optik (Stuttgart) Vol. 124; no. 18; pp. 3419 - 3421
• Main Authors: Djebbari, A., Garadi, A., Dayoub, I., A, Taleb-Ahmed
• Format: Journal Article
• Language: English
• Published: Elsevier GmbH 01.09.2013; Elsevier
• Subjects: Balanced incomplete block design (BIBD); Balancing; Blocking; Construction; Cross correlation; Division; Engineering Sciences; Multiple access; Phase induced intensity noise (PIIN); Prime numbers; Spectra; Spectral-amplitude-coding optical code division multiple access (SAC-OCDMA); Zero cross-correlation (ZCC) code; Spectral-amplitude-coding optical code division multiple access (SAC-OCDMA); Balanced incomplete block design (BIBD); Zero cross-correlation (ZCC) code; Phase induced intensity noise (PIIN); "Balanced incomplete block design (BIBD)"; "Zero cross-correlation (ZCC) code"; "Phase induced intensity noise (PIIN)"; "Spectral-amplitude-coding optical code division multiple access (SAC-OCDMA)"
• ISSN: 0030-4026; 1618-1336
• DOI: 10.1016/j.ijleo.2012.10.078

This paper presents a newly constructed zero cross correlation code (ZCC) which is based on BIBD (balanced incomplete block design) code. The ZCC (C, w) code is a family of binary sequences of length C and constant Hamming-weight w. Such codes find applications in spectral amplitude-coding optical code division multiple access (SAC-OCDMA). The constructing ZCC codes have a size of C⿥Nÿw+1, where N is the number of users and C is any prime number. The proposed construction method is not complicated compared to the existing ones.