Title :
Some new three-valued crosscorrelation functions for binary m-sequences
Author :
Cusick, Thomas W. ; Dobbertin, Hans
Author_Institution :
Dept. of Math., State Univ. of New York, Buffalo, NY, USA
fDate :
7/1/1996 12:00:00 AM
Abstract :
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
Keywords :
binary sequences; correlation methods; binary m-sequences; binary maximum-length sequence; linear shift register sequence; sequence decimation; three-valued crosscorrelation functions; Autocorrelation; Electrons; Galois fields; Gold; Information security; Mathematics; Notice of Violation; Shift registers;
Journal_Title :
Information Theory, IEEE Transactions on
