Results 11 to 20 of about 22,173,063 (167)
Torsion point attacks on ‘SIDH‐like’ cryptosystems
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 +2 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
Effective Pairings in Isogeny-Based Cryptography [PDF]
, 2023 LATINCRYPT ...
Krijn Reijnders
core +6 more sources
Efficient Finite Field Multiplication for Isogeny Based Post Quantum Cryptography [PDF]
, 2016 Isogeny based post-quantum cryptography is one of the most recent addition to the family of quantum resistant cryptosystems. In this paper we propose an efficient modular multiplication algorithm for primes of the form \(p=2\cdot {2^a}3^b-1\) with b even, typically used in such cryptosystem.
Karmakar, Angshuman +3 more
core +7 more sources
Isogeny-based Signatures with Randomizable Keys
Digital signature schemes based on isogenies are among the most compact signatures achieving post-quantum security. Recent advances, especially those leveraging higher-dimensional isogenies, have also made such schemes practically efficient.
Invernizzi, Riccardo +7 more
core +8 more sources
Arithmetic Considerations for Isogeny-Based Cryptography [PDF]
IEEE Transactions on Computers, 2019 In this paper we investigate various arithmetic techniques which can be used to potentially enhance the performance in the supersingular isogeny Diffie-Hellman (SIDH) key-exchange protocol which is one of the more recent contenders in the post-quantum public-key arena.
Joppe W. Bos, Simon Friedberger
openaire +2 more sources
An Algorithmic Approach to (2, 2)-Isogenies in the Theta Model and Applications to Isogeny-Based Cryptography [PDF]
In this paper, we describe an algorithm to compute chains of (2, 2)-isogenies between products of elliptic curves in the theta model. The description of the algorithm is split into various subroutines to allow for a precise field operation counting. We present a constant time implementation of our algorithm in Rust and an alternative implementation in ...
Pierrick Dartois +3 more
core +5 more sources
A New Isogeny Representation and Applications to Cryptography [PDF]
, 2022 International audienceThis paper focuses on isogeny representations, defined as ways to evaluate isogenies and verify membership to the language of isogenous supersingular curves (the set of triples D, E1, E2 with a cyclic isogeny of degree D between E1 ...
Leroux, Antonin, Antonin Leroux
core +5 more sources
Post-quantum cryptography Algorithm's standardization and performance analysis
Array, 2022 -Quantum computer is no longer a hypothetical idea. It is the world's most important technology and there is a race among countries to get supremacy in quantum technology.
Manish Kumar
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An efficient post-quantum KEM from CSIDH
Journal of Mathematical Cryptology, 2022 The SIDH and CSIDH are now the two most well-known post-quantum key exchange protocols from the supersingular isogeny-based cryptography, which have attracted much attention in recent years and served as the building blocks of other supersingular isogeny-
Qi Mingping
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