Multiple-length extended carrier-hopping prime codes for optical CDMA systems supporting multirate multimedia services

Extended carrier-hopping prime codes (ECHPCs) with ideal correlation properties (i.e., zero autocorrelation sidelobes and cross-correlation values of at most 1) and significantly expanded cardinality were recently constructed for wavelength-hopping time-spreading optical code division multiple access (O-CDMA). To support multimedia services with different bit-rate requirements, a new family of multiple-length constant-weight ECHPCs with ideal correlation properties is constructed algebraically in this paper. The performance of these new codes in an O-CDMA multimedia system is analyzed. Contrary to conventional single-length codes, our study shows that the performance of these multiple-length codes improves as the code length decreases, thus supporting prioritization in O-CDMA.