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A new three-dimensional (space/wavelength/time) multi wavelength optical code division multiple access (MW-OCDMA) code design based on balanced incomplete block designs (BIBD) is proposed for fiber optic communication. The proposed code has a weight of W = s times w times k, where s is the number of fibers (space) used per user, w is the number of wavelengths used per user and k is the number of ones in a block of BIBD. This code ensures a maximum cross-correlation of dasia1psila between any two users. The cardinality of the code family is higher by a factor of approximately dasia3psila when compared with BIBD codes of one-dimensional OCDMA with equivalent weight, length and cross-correlation.