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The security proofs for isogeny-based undeniable signature schemes have been based primarily on two isogeny hardness assumptions: that the One-Sided Modified SSCDH problem and the One-More SSCDH probl...
The Charles-Goren-Lauter hash function on isogeny graphs of supersingular elliptic curves was shown to be insecure under collision attacks when the endomorphism ring of the starting curve is known. Si...
In this work, we present a fast parallel architecture to perform supersingular isogeny key encapsulation (SIKE). We propose and implement a fast isogeny accelerator architecture that uses fast and par...
In this paper we report on a new record class group computation of an imaginary quadratic field having 154-digit discriminant, surpassing the previous record of 130 digits. This class group is central...
The isogeny-based protocols SIDH and SIKE have received much attention for being post-quantum key agreement candidates that retain relatively small keys. A recent line of work has proposed and further...
We present the first quantum-resistant nn-party key agreement scheme based on supersingular elliptic curve isogenies. We show that the scheme is secure against quantum adversaries, by providing a secu...
In this work, we present highly-optimized constant-time software libraries for Supersingular Isogeny Key Encapsulation (SIKE) protocol on ARMv8 processors. Our optimized hand-crafted assembly librarie...
Two recent papers have made significant advances towards a better understanding of the concrete hardness of the computational supersingular isogeny (CSSI) problem; this problem underlies the supersing...
We study the computational hardness of recovering single bits of the private key in the supersingular isogeny Diffie--Hellman (SIDH) key exchange and similar schemes. Our objective is to give a polyno...
Using the idea behind the recently proposed isogeny- and paring-based verifiable delay function (VDF) by De Feo, Masson, Petit and Sanso, we construct an isogeny-based VDF without the use of pairings....
Along with the resistance against quantum computers, isogeny-based cryptography offers attractive cryptosystems due to small key sizes and compatibility with the current elliptic curve primitives. Whi...
We give a new signature scheme for isogenies that combines the class group actions of CSIDH with the notion of Fiat-Shamir with aborts. Our techniques allow to have signatures of size less than one ki...
Password authenticated key establishment (PAKE) is a cryptographic primitive that allows two parties who share a low-entropy secret (a password) to securely establish cryptographic keys in the absence...
The quantum secure supersingular isogeny Diffie-Hellman (SIDH) key exchange is a promising candidate in NIST's on-going post-quantum standardization process. The evaluation of various implementation c...
We show how to implement the Montgomery reduction algorithm for isogeny based cryptography such that it can utilize the "unsigned multiply accumulate accumulate long" instruction present on modern ARM...

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