Results 11 to 20 of about 1,873 (181)
Torsion point attacks on ‘SIDH‐like’ cryptosystems [PDF]
IET Information Security, 2023 Isogeny‐based cryptography is a promising approach for post‐quantum cryptography. The best‐known protocol following that approach is the supersingular isogeny Diffie–Hellman protocol (SIDH); this protocol was turned into the CCA‐secure key encapsulation ...
Péter Kutas, Christophe Petit
doaj +6 more sources
Efficiency of SIDH-based signatures (yes, SIDH) [PDF]
Journal of Mathematical CryptologyIn 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.
Ghantous Wissam +2 more
doaj +6 more sources
SIDH-sign: an efficient SIDH PoK-based signature. [PDF]
IACR Cryptol. ePrint Arch., 2022 We analyze and implement the SIDH PoK-based construction from De Feo, Dobson, Galbraith, and Zobernig. We improve the SIDH-PoK built-in functions to allow an efficient constant-time implementation.
Jesús-Javier Chi-Domínguez +2 more
core +3 more sources
A Direct Key Recovery Attack on SIDH [PDF]
, 2023 We present an attack on SIDH utilising isogenies between polarized products of two supersingular elliptic curves. In the case of arbitrary starting curve, our attack (discovered independently from [8]) has subexponential complexity, thus significantly reducing the security of SIDH and SIKE. When the endomorphism ring of the starting curve is known, our
Luciano Maino +4 more
core +6 more sources
An adaptive attack on 2-SIDH [PDF]
International Journal of Computer Mathematics: Computer Systems Theory, 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-ba...
Samuel Dobson +4 more
core +4 more sources
High Performance Modular Multiplication for SIDH [PDF]
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2020 The latest research indicates that quantum computers will be realized in the near future. In theory, the computation speed of a quantum computer is much faster than current computers, which will pose a serious threat to current cryptosystems. Post-quantum cryptography (PQC) is a class of cryptography based on underlying mathematical problems that are ...
Weiqiang Liu 0001 +4 more
openaire +5 more sources
Authenticated key exchange for SIDH. [PDF]
IACR Cryptol. ePrint Arch., 2018 We survey authenticated key exchange (AKE) in the context of supersingular isogeny Diffie-Hellman key exchange (SIDH). We discuss different approaches to achieve authenticated key exchange, and survey the literature. We explain some challenges that arise
Steven D. Galbraith
core +3 more sources
A Note on a Static SIDH Protocol. [PDF]
IACR Cryptol. ePrint Arch., 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 ...
Samuel Dobson, Trey Li, Lukas Zobernig
core +3 more sources
Pairing Optimizations for Isogeny-Based Cryptosystems
IET Information SecurityIn 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
Shiping Cai, Kaizhan Lin, Chang-An Zhao
doaj +2 more sources
eSIDH: the revenge of the SIDH. [PDF]
IACR Cryptol. ePrint Arch., 2020 The Supersingular Isogeny-based Diffie-Hellman key exchange protocol (SIDH) was introduced by Jao an De Feo in 2011. SIDH operates on supersingular elliptic curves defined over quadratic extension fields of the form GF($p^2$), where $p$ is a large prime ...
Daniel Cervantes-Vázquez +2 more
core +3 more sources