Characterization of $m$-Sequences of Lengths $2^2k-1$ and $2^k-1$ with Three-Valued Crosscorrelation
<|reference_start|>Characterization of $m$-Sequences of Lengths $2^2k-1$ and $2^k-1$ with Three-Valued Crosscorrelation: Considered is the distribution of the crosscorrelation between $m$-sequences of length $2^m-1$, where $m=2k$, and $m$-sequences of shorter length $2^k-1$. New pairs of $m$-sequences with three-valued crosscorrelation are found and the complete correlation distribution is determined. Finally, we conjecture that there are no more cases with a three-valued crosscorrelation apart from the ones proven here.<|reference_end|>
@article{helleseth2007characterization,
    title={Characterization of $m$-Sequences of Lengths $2^{2k}-1$ and $2^k-1$ with
  Three-Valued Crosscorrelation},
    author={Tor Helleseth and Alexander Kholosha and Geir Jarle Ness},
    journal={arXiv preprint arXiv:cs/0702139},
    year={2007},
    archivePrefix={arXiv},
    eprint={cs/0702139},
    primaryClass={cs.CR cs.DM}
}