A new code construction with zero cross correlation based on BIBD

A. Djebari (1) , A. Garadi (1) , Iyad Dayoub (2, 3, 4) , Abdelmalik Taleb-Ahmed (5)

1 Telecommunications and Digital Signal Processing Laboratory
2 IEMN-DOAE - Institut d’Électronique, de Microélectronique et de Nanotechnologie - Département Opto-Acousto-Électronique - UMR 8520
3 COMNUM - IEMN - COMmunications NUMériques - IEMN
4 IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520
5 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

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 ⿥ N ÿ w + 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.

Mots clés: "Spectral-amplitude-coding optical code division multiple access (SAC-OCDMA)"; "Zero cross-correlation (ZCC) code"; "Phase induced intensity noise (PIIN)"; "Balanced incomplete block design (BIBD)"

Domaines: Sciences de l'ingénieur [physics]

A. Djebari, A. Garadi, Iyad Dayoub, Abdelmalik Taleb-Ahmed. A new code construction with zero cross correlation based on BIBD. Optik, 2013, 124 (18), pp.3419-3421. ⟨10.1016/j.ijleo.2012.10.078⟩. ⟨hal-00872034⟩