Results 111 to 120 of about 10,757 (241)
Families of p-divisible groups with constant Newton polygon
, 2002 A p-divisible group over a base scheme in characteristic p in general does not admit a slope filtration. Let X be a p-divisible group with constant Newton polygon over a normal noetherian scheme S; we prove that there exists an isogeny from X to Y such ...
oort, Frans, Zink, Thomas
core +1 more source
Paving the Way for SQIsign: Toward Efficient Deployment on 32-bit Embedded Devices
MathematicsThe 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
Isogeny classes of abelian varieties over finite fields [PDF]
, 1968 Taira Honda
openalex +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 +3 more
openaire +2 more sources
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
Towards Green Computing Oriented Security: A Lightweight Postquantum Signature for IoE. [PDF]
Sensors (Basel), 2021 Rani R +7 more
europepmc +1 more source
Poonen’s question concerning isogenies between Smart’s genus 2 curves [PDF]
, 1999 Paul van Wamelen
openalex +1 more source
, 2023 Given a finitely generated field extension K of the rational numbers and an abelian variety C over K, we consider the class of all abelian varieties over K which are isogenous (over K) to an abelian subvariety of a power of C. We show that there is a single, naturally constructed abelian variety B in the class whose ring of endomorphisms controls all ...
Rémond, Gaël, Gaudron, Eric
openaire +1 more source
Isogenies of Polynomial Formal Groups
Journal of Algebra, 1999 A polynomial formal group is a commutative \(n\) dimensional formal group law \(F(x, y) = (F_1(x, y),\dots , F_n(x, y))\) such that the power series in \(n\) variables \(F_i(x, y)\) are polynomials. For \(n=1\), examples are \(F(x, y) = x+y + cxy\). For \(n>1\) see \textit{L. Childs, C. Greither, D. J. Moss, J. Sauerberg} and \textit{K.
openaire +1 more source