Characterization of $m$-Sequences of Lengths $2^{2k}-1$ and $2^k-1$ with Three-Valued Crosscorrelation

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dc.creatorHelleseth, Tor
dc.creatorKholosha, Alexander
dc.creatorNess, Geir Jarle
dc.date2007-02-23
dc.date.accessioned2026-07-07T07:48:26Z
dc.date.available2026-07-07T07:48:26Z
dc.descriptionConsidered 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/cs/0702139
dc.identifierhttp://arxiv.org/abs/cs/0702139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124499
dc.subjectCryptography and Security
dc.subjectDiscrete Mathematics
dc.titleCharacterization of $m$-Sequences of Lengths $2^{2k}-1$ and $2^k-1$ with Three-Valued Crosscorrelation
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