Results 81 to 90 of about 274 (176)

Mod p points on shimura varieties of parahoric level

Forum of Mathematics, Pi
We study the $\overline {\mathbb {F}}_{p}$ -points of the Kisin–Pappas integral models of Shimura varieties of Hodge type with parahoric level. We show that if the group is quasi-split, then every isogeny class contains the reduction of a CM point,
Pol van Hoften
doaj   +1 more source

The isogeny conjecture for A-motives [PDF]

Inventiones mathematicae, 2011
ISSN:1432 ...
openaire   +3 more sources

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

Paving the Way for SQIsign: Toward Efficient Deployment on 32-bit Embedded Devices

Mathematics
The threat of quantum computing has spurred research into post-quantum cryptography. SQIsign, a candidate submitted to the standardization process of the National Institute of Standards and Technology, is emerging as a promising isogeny-based signature ...
Yue Hu, Shiyu Shen, Hao Yang, Weize Wang
doaj   +1 more source

Isogenies of abelian varieties

Journal of Pure and Applied Algebra, 1993
This paper deals with the following problems: Given two polarized abelian varieties \(X\) and \(Y\) over a field \(F\) which are isogenous over \(\overline F\), are they isogenous over \(F\)? And if they are not, how much of the \(n\)-torsion must be adjoined to \(F\) in order that they are?
Silverberg, A., Zarhin, Yu.G.
openaire   +1 more source

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

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

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

Supersingular Isogeny Oblivious Transfer

Anais do XIX Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2019), 2019
Neste artigo, apresentamos um protocolo Oblivious Transfer (OT) que combina um esquema OT juntamente com a primitiva do protocolo Supersingular Isogeny Diffie-Hellman (SIDH). Nossa proposta é um candidato para segurança pós-quântica OT e demonstra que o SIDH naturalmente suporta a funcionalidade OT.
Paulo Barreto, Gláucio Oliveira, Waldyr Benits, Anderson Nascimento   +3 more
openaire   +2 more sources

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