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Title:
Application of Velusqrt algorithm to Huff’s and general Huff’s curves
Authors: Michał Wroński
Abstract:In 2020 Bernstein, De Feo, Leroux, and Smith presented a new odd-degree \ell-isogeny computation method called Velusqrt. This method has complexity \tilde{O}(\sqrt{\ell}), compared to the complexity of \tilde{O}(\ell) of the classical Vélu method. In this paper application of the Velusqrt method to Huff’s and general Huff’s curves is presented. It is showed how to compute odd-degree isogeny on Huff’s and general Huff’s curves using Velusqrt algorithm and x-line arithmetic for different compression functions.
ePrint: https://eprint.iacr.org/2021/073
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