Results 71 to 80 of about 18,463 (180)
On the Parallelization of Square-Root Vélu’s Formulas
Mathematical and Computational ApplicationsA primary challenge in isogeny-based cryptography lies in the substantial computational cost associated to computing and evaluating prime-degree isogenies.
Jorge Chávez-Saab +2 more
doaj +1 more source
Compact, Efficient and UC-Secure Isogeny-Based Oblivious Transfer [PDF]
, 2022 Oblivious transfer (OT) is an essential cryptographic tool that can serve as a building block for almost all secure multiparty functionalities. The strongest security notion against malicious adversaries is universal composability (UC-secure).
Steven D. Galbraith +2 more
core
CLEI Electronic JournalCryptography based on elliptic curves is endowed with efficient methods for public-key cryptography. Recent research has shown the superiority of the Montgomery and Edwards curves over the Weierstrass curves as they require fewer arithmetic operations ...
Armando Faz Hernandez, Julio López
doaj +1 more source
Addition-Subtraction-Multiplication chain for Isogeny-based Cryptography [PDF]
, 2018 Supersingular isogeny Diffie-Hellman key exchange is one of the important is sues in isogeny-based cryptography. To generate isogenies in this protocol, scalar multiplication costs expensive steps.
임희진
core
Let us walk on the 3-isogeny graph: efficient, fast, and simple
Transactions on Cryptographic Hardware and Embedded SystemsConstructing and implementing isogeny-based cryptographic primitives is an active research. In particular, performing length-n isogenies walks over quadratic field extensions of Fp plays an exciting role in some constructions, including Hash functions ...
Jesús-Javier Chi-Domínguez +2 more
doaj +1 more source
Hardware Accelerators for Elliptic Curve Cryptography [PDF]
, 2008 Puttmann C, Shokrollahi J, Porrmann M, Rückert U. Hardware Accelerators for Elliptic Curve Cryptography. Advances in Radio Science. 2008;6:259-264.In this paper we explore different hardware accelerators for cryptography based on elliptic curves ...
U. Rückert +7 more
core +2 more sources
Dual Isogenies and Their Application to Public-Key Compression for Isogeny-Based Cryptography
, 2019 The isogeny-based protocols SIDH and SIKE have received much attention for being post-quantum key agreement candidates that retain relatively small keys. A recent line of work has proposed and further improved compression of public keys, leading to the inclusion of public-key compression in the SIKE proposal for Round 2 of the NIST Post-Quantum ...
Naehrig, M., Renes, J.
openaire +3 more sources
Use of ID-Based Cryptography for the Efficient Verification of the Integrity and Authenticity of Web Resources [PDF]
, 2009 As the amount of information resources on the Web keeps increasing so are the concerns for information integrity, confidentiality and authenticity. In Web 2.0 users are producers as well as consumers of content and metadata, which makes guaranteeing the ...
Tiropanis, Thanassis +3 more
core +1 more source
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
Simpler and Faster Pairings from the Montgomery Ladder [PDF]
International audienceWe show that Montgomery ladders compute pairings as a by-product, and explain how a small adjustment to the ladder results in simple and efficient algorithms for the Weil and Tate pairing on elliptic curves using cubical arithmetic.
Pope, Giacomo +9 more
core +1 more source