We introduce FESTA, an efficient isogeny-based public-key encryption (PKE) protocol based
on a constructive application of the SIDH attacks. At its core, FESTA is based on a novel …

We present SCALLOP-HD, a novel group action that builds upon the recent SCALLOP
group action introduced by De Feo, Fouotsa, Kutas, Leroux, Merz, Panny and Wesolowski in …

Given two elliptic curves and the degree of an isogeny between them, finding the isogeny is
believed to be a difficult problem—upon which rests the security of nearly any isogeny …

Isogeny-based cryptography is an instance of post-quantum cryptography whose
fundamental problem consists of finding an isogeny between two (isogenous) elliptic curves …

We introduce a new framework, POKE, to build cryptographic protocols from irrational
isogenies using higher-dimensional representations. The framework enables two parties to …

Random Walks in Number-theoretic Cryptology Page 1 HAL Id: tel-04837478 https://hal.science/tel-04837478v1
Submitted on 13 Dec 2024 HAL is a multi-disciplinary open access archive for the deposit …

A crucial ingredient for many cryptographic primitives such as key exchange protocols and
advanced signature schemes is a commutative group action where the structure of the …

The 3-volume set LNCS 14583-14585 constitutes the proceedings of the 22nd International
Conference on Applied Cryptography and Network Security, ACNS 2024, which took place …

In this thesis, we consider the hidden subgroup problem (HSP). Let G be a finite group, and
suppose we are given a function f on G such that f is constant and distinct on different left …