Characterization of -Sequences of Lengths and With Three-Valued Cross Correlation

Authors:
T. Helleseth;A. Kholosha;G. J. Ness
Affiliations:
Univ. of Bergen, Bergen;-;-
Venue:
IEEE Transactions on Information Theory
Year:
2007

Citing 0
Cited 4

m-Sequences of Lengths 22k 1 and 2k - 1 with at Most Four-Valued Cross Correlation

SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Period-different m-sequences with at most four-valued cross correlation

IEEE Transactions on Information Theory
Binary almost-perfect sequence sets

IEEE Transactions on Information Theory
On the equation x2l+1+x+a=0 over GF(2k)

Finite Fields and Their Applications

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Abstract

Considered is the distribution of the cross correlation between in-sequences of length 22k -1, where m = 2k, and m-sequences of shorter length 2k -1. New pairs of m -sequences with three-valued cross correlation are found and the complete correlation distribution is determined. Finally, we conjecture that there are no more cases with a three-valued cross correlation apart from the ones proven here.