On the bounds on odd correlation of sequences

A construction, similar to that of Sidelnikov (1971) and Welch (1974), is proposed to transform bounds on inner products into bounds on odd correlations of a set of sequences with equal energy. Contrary to Sarwate´s (1979) result, the present authors show that bounds on odd cross-correlation and autocorrelation can easily be derived from Welch´s more general bounds. Generally speaking, since all known lower bounds on periodic correlation have been derived from bounds on inner products, the construction implies that the periodic and odd correlation can share all of these lower bounds