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ldquoMulti-levelrdquo wavelength-time codes with asymptotic-optimal code cardinality and flexible code length are constructed and analyzed. The codes can be partitioned into multiple levels of codes with different cross-correlation functions, thus supporting the trade-off between code cardinality and performance for different system requirements (e.g., capacity and throughput).
In this paper, we study a new class of two-dimensional codes, here called multilevel prime codes, with expanded code cardinality by relaxing the maximum cross-correlation function to any arbitrary positive integer. Besides having asymptotically optimal cardinality and zero autocorrelation sidelobes, these multilevel prime codes can be partitioned into a tree structure of multiple levels of subsets...
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