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Verifiable Delay Functions from Supersingular Isogenies and Pairings
Verifiable Delay Function Isogenies Pairings
2019/2/25
We present two new Verifiable Delay Functions (VDF) based on assumptions from elliptic curve cryptography. We discuss both the advantages and some drawbacks of our constructions, we study their securi...
Computing supersingular isogenies on Kummer surfaces
Supersingular isogenies SIDH Kummer surface
2018/11/15
We apply Scholten's construction to give explicit isogenies between the Weil restriction of supersingular Montgomery curves with full rational 2-torsion over GF(p2)GF(p2) and corresponding abelian sur...
Simple oblivious transfer protocols compatible with Kummer and supersingular isogenies
Oblivious transfer Diffie-Hellman key exchange supersingular isogeny
2018/8/2
The key exchange protocol of Diffie and Hellman, which can be defined for any group, has the special feature of using only exponentiations. In particular, it can also be instantiated in Kummer varieti...
A Note on Post-Quantum Authenticated Key Exchange from Supersingular Isogenies
Authenticated key exchange post-quantum cryptography supersingular isogenies
2018/3/14
We discuss several post-quantum authenticated key exchange protocols based on the supersingular isogeny problem. Leveraging the design of the well-studied schemes by Krawczyk (2003), Boyd et al. (2008...
A Post-Quantum Digital Signature Scheme Based on Supersingular Isogenies
digital signatures isogenies post-quantum cryptography
2017/3/6
We present the first general-purpose digital signature scheme based on supersingular elliptic curve isogenies secure against quantum adversaries in the quantum random oracle model with small key sizes...