A New Family of Four-Valued Cross Correlation Between $m$-Sequences of Different Lengths
Geir Jarle Ness, Tor Helleseth · IEEE Transactions on Information Theory · 2007
The cross-correlation function between m-sequences of period 2m- 1, where m = 6k, and m-sequences of shorter period 2m/2- 1 is investigated. The first infinite family of pairs of m-sequences with four-valued cross correlation is constructed and the complete correlation distribution of this family is determined.