Results 71 to 80 of about 22,173,063 (167)
The module action for isogeny based cryptography. [PDF]
IACR Cryptol. ePrint Arch.We extend the usual ideal action on oriented elliptic curves to a (Hermitian) module action on oriented (polarised) abelian varieties. Oriented abelian varieties are naturally enriched in $R$-modules, and our module action comes from the canonical power ...
Damien Robert
core +4 more sources
Quaternion Algrebras and isogeny-based cryptography
, 2022 L'avènement de l'ordinateur quantique est une menace pour la cryptographie en permettant de résoudre les problèmes sur lesquels reposent la sécurité de nombreux protocoles. La cryptographie à base d'isogénies est une famille de protocoles reposant sur la difficulté de trouver une isogénie entre deux courbes elliptiques supersingulières, un problème ...
openaire +1 more source
Comparison between the RSA cryptosystem and elliptic curve cryptography [PDF]
, 2010 In the globalization era, cryptography becomes more popular and powerful; in fact it is very important in many areas (i.e. mathematics, computer science, networks, etc).
Abdullah, Kamilah
core
Advanced Isogeny-based Cryptosystems
, 2023 Cryptography has a rich history, spanning thousands of years and evolving from ancient techniques such as the scytale and Caesar’s cipher to modern systems like RSA, DHKE, and ECDH. However, quantum computing poses a substantial threat to the security of
Lai, Yi-Fu
core
Genus Two Isogeny Cryptography [PDF]
, 2022 We study $(\ell,\ell)$-isogeny graphs of principally polarised supersingular abelian surfaces (PPSSAS). The $(\ell,\ell)$-isogeny graph has cycles of small length that can be used to break the collision resistance assumption of the genus two isogeny hash
E. V. Flynn, Yan Bo Ti
core
Isogeny-based Oblivious Transfer Protocols
, 2021 This thesis studies isogeny-based cryptography and its applications to oblivious transfer protocols. Isogeny crypto is based on difficult problems on the graph of isogenies between supersingular elliptic curves.
ZANOTTO, RICCARDO
core
IPCC7: Post-Quantum Encryption Scheme Based on a Perfect Dominating Set in 3-Regular Graph
IEEE AccessPost-quantum cryptography (PQC) has been actively explored to meet the requirements arising with the rapid development of quantum computers. The National Institute of Standards and Technology (NIST) conducted a competition to establish the next ...
Jieun Ryu +4 more
doaj +1 more source
A Programmable Crypto-Processor for National Institute of Standards and Technology Post-Quantum Cryptography Standardization Based on the RISC-V Architecture. [PDF]
Sensors (Basel), 2023 Lee J, Kim W, Kim JH.
europepmc +1 more source
ComputersQuantum computing threatens widely deployed public-key cryptosystems, accelerating the adoption of Post-Quantum Cryptography (PQC) in practical systems.
Jesus Algar-Fernandez +3 more
doaj +1 more source
Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +5 more
europepmc +1 more source