Title :
A New Family of Four-Valued Cross Correlation Between m-Sequences of Different Lengths
Author :
Ness, Geir Jarle ; Helleseth, Tor
Author_Institution :
Bergen Univ., Bergen
Abstract :
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.
Keywords :
correlation methods; m-sequences; affine polynomials; four-valued cross correlation; linearized polynomials; m-sequences; Binary sequences; Councils; Informatics; Polynomials; $m$-sequences; Affine polynomials; cross correlation; linearized polynomials;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.907447
