A construction method of optical orthogonal code based on difference set

Optical orthogonal codes (OOCs) have application in OCDMA system because of their good correlation properties. In this paper, two correlation-detection methods, difference method and distance method, were studied. Calculate amount of these correlation-detection methods was analyzed. Constraint condition of optimal optical orthogonal codes was discussed. Besides, a construction method of optimal (n,w,1) optical orthogonal code was presented based on difference set. Optimal (n,w,1) optical orthogonal code which has 2 code words each set was constructed by this construction method. Codewords relativity simulation proved the validity of the method. This construction method has practicability because of codewords' good correlation properties and large capacity.

[1]  Kun Qiu,et al.  Construction for optimal optical orthogonal codes , 2002, IEEE 2002 International Conference on Communications, Circuits and Systems and West Sino Expositions.

[2]  Ryoh Fuji-Hara,et al.  Optical orthogonal codes: Their bounds and new optimal constructions , 2000, IEEE Trans. Inf. Theory.

[3]  Reza Omrani.  Wavelength time optical orthogonal codes and phase encoding sequences for optical CDMA , 2006 .

[4]  Selmer M. Johnson.  A new upper bound for error-correcting codes , 1962, IRE Trans. Inf. Theory.

[5]  Yanxun Chang,et al.  A New Class of Optimal Optical Orthogonal Codes With Weight Five , 2004, IEEE Trans. Inf. Theory.