Some new three-valued crosscorrelation functions for binary m-sequences
Thomas W. Cusick, Hans Dobbertin · IEEE Transactions on Information Theory · 1996
In 1972 Niho gave various conjectures about the crosscorrelation between a binary maximum-length linear shift register sequence and a decimation of that sequence by an integer d. We prove that the crosscorrelation function for two new values of d takes on precisely three values and thereby confirm two of Niho's conjectures.