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arxiv: 2203.13523 · v1 · pith:32KIIC5Ynew · submitted 2022-03-25 · 🧮 math.NT · cs.IT· math.IT

Linear Complexity of Sequences on Koblitz Curves of Genus 2

classification 🧮 math.NT cs.ITmath.IT
keywords complexitycurvesgenuslinearsequencesanalogueconsiderendomorphism
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In this paper, we consider the hyperelliptic analogue of the Frobenius endomorphism generator and show that it produces sequences with large linear complexity on the Jacobian of genus 2 curves.

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