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Characterization of m -Sequences of Lengths 2^{2k}-1 and 2^{k}-1 With Three-Valued Cross Correlation

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3 Author(s)

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.

Published in:

IEEE Transactions on Information Theory  (Volume:53 ,  Issue: 6 )