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Pairing Optimizations for Isogeny‐Based Cryptosystems
IET Information Security, Volume 2024, Issue 1, 2024.In isogeny‐based cryptography, bilinear pairings are regarded as a powerful tool in various applications, including key compression, public key validation, and torsion basis generation. However, in most isogeny‐based protocols, the performance of pairing computations is unsatisfactory due to the high computational cost of the Miller function.
Shiping Cai +3 more
wiley +1 more source
Attacking B-SIDH Using Castryck-Decru's Key Recovery Attack on SIDH [PDF]
, 2023 Fundamentet i nesten alle offentlige nøkkelkryptografier ligger i vanskeligheten til spesifikke matematiske problemer. Selv om det ikke eksisterer effektive løsninger for disse problemene på klassiske datamaskiner, presenterer kommende kvantemaskiner en ...
Skuggedal, Georg
core
SIDH with masked torsion point images [PDF]
, 2023 We propose a countermeasure to the Castryck-Decru attack on SIDH. The attack heavily relies on the images of torsion points. The main input to our countermeasure consists in masking the torsion point images in SIDH in a way they are not exploitable in ...
Tako Boris Fouotsa
core +1 more source
SoK: The Problem Landscape of SIDH [PDF]
, 2018 The Supersingular Isogeny Diffie-Hellman protocol (SIDH) has recently been the subject of increased attention in the cryptography community. Conjecturally quantum-resistant, SIDH has the feature that it shares the same data flow as ordinary Diffie ...
David Jao, David Urbanik
core +1 more source
Implementing the Castryck-Decru attack on SIDH with general primes [PDF]
With the rapid progress of quantum computers in recent years, efforts have been made to standardize new public-key cryptographic protocols which would be secure against them. One of the schemes in contention was Supersingular Isogeny Diffie-Hellman (SIDH)
Laflamme, Jeanne
core
New SIDH Countermeasures for a More Efficient Key Exchange [PDF]
, 2023 The Supersingular Isogeny Diffie-Hellman (SIDH) protocol has been the main and most efficient isogeny-based encryption protocol, until a series of breakthroughs led to a polynomial-time key-recovery attack.
Andrea Basso, Tako Boris Fouotsa
core +1 more source
An Adaptive Attack on 2-SIDH [PDF]
, 2020 We present a polynomial-time adaptive attack on the 2-SIDH protocol. The 2-SIDH protocol is a special instance of the countermeasure proposed by Azarderakhsh, Jao and Leonardi to perform isogeny-based key exchange with static keys in the presence of an ...
Steven D. Galbraith +4 more
core +1 more source
Efficiency of SIDH-based signatures (yes, SIDH) [PDF]
In this note, we assess the efficiency of a supersingular isogeny Diffie-Hellman (SIDH)-based digital signature built on a weaker variant of a recent identification protocol proposed by Basso et al.
Veroni, Mattia +2 more
core +1 more source
A Note on a Static SIDH Protocol [PDF]
, 2019 It is well known, due to the adaptive attack by Galbraith, Petit, Shani, and Ti (GPST), that plain SIDH is insecure in the static setting. Recently, Kayacan\u27s preprint A Note on the Static-Static Key Agreement Protocol from Supersingular Isogenies ...
Trey Li, Lukas Zobernig, Samuel Dobson
core +1 more source
Faster Public-key Compression of SIDH with Less Memory [PDF]
, 2022 In recent years, the isogeny-based protocol, namely supersingular isogeny Diffe-Hellman (SIDH) has become highly attractive for its small public key size.
Jianming Lin +3 more
core