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arXiv · 1706.08710

On the elliptic curve endomorphism generator

László Mérai
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Abstract

For an elliptic curve $E$ over a finite field we define the point sequence $(P_n)$ recursively by $P_n=\vartheta (P_{n-1})=\vartheta ^n(P_0)$ with an endomorphism $\vartheta \in\mathrm{End}(E)$ and with some initial point $P_0$ on $E$. We study the distribution and the linear complexity of sequences obtained from $(P_n)$.

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László Mérai. 2017-06-27. On the elliptic curve endomorphism generator. https://arxiv.org/abs/1706.08710

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