Optimal Strategies for Computation of Degree ℓn Isogenies for SIDH

This article presents methods and algorithms for the computation of isogenies of degree ℓn. Some of these methods are obtained using recurrence equations and generating functions. A standard multiplication based algorithm for computation of isogeny of degree ℓn has time complexity equal to O(n2 M (n...

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Bibliographic Details
Main Authors: Michał Wroński, Andrzej Chojnacki
Format: Article
Language:English
Published: Polish Academy of Sciences 2020-09-01
Series:International Journal of Electronics and Telecommunications
Subjects:
Online Access:https://journals.pan.pl/Content/115227/PDF/64_2564_Wronski_L_skl_new1.pdf