Results 81 to 90 of about 290 (181)

Families of elliptic curves with rational 3-torsion

Journal of Mathematical Cryptology, 2012
In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of -isogeny classes
Moody Dustin, Wu Hongfeng
doaj   +1 more source

Orienteering with One Endomorphism. [PDF]

Mathematica (N Y), 2023
Arpin S, Chen M, Lauter KE, Scheidler R, Stange KE, Tran HTN.   +5 more
europepmc   +1 more source

Verifiable Delay Function and Its Blockchain-Related Application: A Survey. [PDF]

Sensors (Basel), 2022
Wu Q, Xi L, Wang S, Ji S, Wang S, Ren Y.
europepmc   +1 more source

On the Parallelization of Square-Root Vélu’s Formulas

Mathematical and Computational Applications
A primary challenge in isogeny-based cryptography lies in the substantial computational cost associated to computing and evaluating prime-degree isogenies.
Jorge Chávez-Saab, Odalis Ortega, Amalia Pizarro-Madariaga   +2 more
doaj   +1 more source

On isogenies of elliptic curves

Glasnik matematički, 2000
We give a characterization of ellptic curves which are isogenous over two different quadratic extensions of a fixed number field.
openaire   +4 more sources

Towards Green Computing Oriented Security: A Lightweight Postquantum Signature for IoE. [PDF]

Sensors (Basel), 2021
Rani R, Kumar S, Kaiwartya O, Khasawneh AM, Lloret J, Al-Khasawneh MA, Mahmoud M, Alarood AA.   +7 more
europepmc   +1 more source

Quantum Paradox: Redefining Secure Communication With Quantum and Post-Quantum Cryptographic Breakthroughs

IEEE Access
The rapid advancement of quantum computing, exemplified by Shor’s and Grover’s algorithms, poses an existential threat to the Rivest-Shamir-Adleman algorithm, elliptic curve cryptography, and symmetric encryption.
Anuththara Hettiarachchi, Amila Nuwan Senarathne, Kapila Dissanayaka   +2 more
doaj   +1 more source

Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]

Milan J Math, 2022
Varesco M, Voisin C.
europepmc   +1 more source

Isogenies & Isometries

XXI, 461 p.
openaire   +4 more sources

{KLaPoTi}: An asymptotically efficient isogeny group action from 2-dimensional isogenies

IACR Communications in Cryptology
We construct and implement an efficient post-quantum commutative cryptographic group action based on combining the SCALLOP framework for group actions from isogenies of oriented elliptic curves on one hand with the recent Clapoti method for polynomial-time evaluation of the CM group action on elliptic curves on ...
Lorenz Panny, Christophe Petit 0001, Miha Stopar   +2 more
openaire   +3 more sources