Abstract
In this paper, we study a new family of carrier-hopping prime codes (CHPCs), so-called quadratic- congruence CHPC (QC-CHPC), with expanded code cardinality by relaxing the maximum cross-correlation function to two (i.e., lambdac = 2). An application of the new code is for multicode in wavelength-time optical code-division multiple access (O-CDMA), in which each user is assigned M = 2m code matrices to represent m data bits per symbol. The advantages are that 1) a lower baud multicode-keying O-CDMA system can support a higher bit rate and 2) user's code obscurity is enhanced, as compared to the transmission of one code matrix (per user) for each data bit one in conventional on-off keying O-CDMA systems. Our performance analysis shows that there is a trade-off between the code performance and hardware complexity/speed related to the choice of M, for a given bit rate.
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