ON THE ODD AND THE APERIODIC CORRELATION-PROPERTIES OF THE KASAMI SEQUENCES

In this correspondence we derive a new upper bound for the odd and the aperiodic correlations of binary sequences in the small Kasami family . Our approach is based on a technique described in a recent paper of S. Litsyn and A. Tietavainen that is originally due to I. M. Vinogrado v. An essential ingredient in this method is a good upper bound on the discrete Fourier coefficients of a shifted product of a pair of seque nces. We obtain an upper bound of the order O(root L In L) for the max imal aperiodic and odd correlation magnitudes for sequences of length L.