A note on the equivalence between strict optical orthogonal codes and difference triangle sets

In [10], a special family of optical address codes, called strict optical orthogonal codes (S-OOCs), was proposed for fiber-optic code-division multiple-access (FO-CDMA) networks. Such codes can strictly guarantee both cross-correlation and autocorrelation functions constrained to have the value one in fully asynchronous data communications and ultra fast switching. In [10], the theory and designs of S-OOC, plus several examples, comparison tables, and performance analyses were presented. In this correspondence, we set up the equivalence between S-OOC and so-called difference triangle. sets (DTS), which have been extensively studied in [1]-[3], [5]-[9]. Thus, all the known constructions, bounds, and analyses for DTS can be directly applied to S-OOC.