Results 41 to 50 of about 162 (153)
The Open Book Series, 2013 The remarkable structure and computationally explicit form of isogeny graphs of elliptic curves over a finite field has made them an important tool for computational number theorists and practitioners of elliptic curve cryptography. This expository paper recounts the theory behind these graphs and examines several recently developed algorithms that ...
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Food Science &Nutrition, Volume 14, Issue 1, January 2026.ATIs in cereal seeds link to celiac disease, asthma, and immune response. Here, we report the first study exploring genetic factors affecting ATI levels in barley. GWAS identified multiple QTNs influencing ATI accumulation with notable variation. Eight QTNs are associated with lower ATI levels; a key gene was identified.
Dalia Z. Alomari +8 more
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An atlas of the Richelot isogeny graph
IACR Cryptol. ePrint Arch., 2021 We describe and illustrate the local neighbourhoods of vertices and edges in the (2, 2)-isogeny graph of principally polarized abelian surfaces, considering the action of automorphisms. Our diagrams are intended to build intuition for number theorists and cryptographers investigating isogeny graphs in dimension/genus 2, and the superspecial isogeny ...
Florit, Enric, Smith, Benjamin
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Renormalization, Isogenies, and Rational Symmetries of Differential Equations
Advances in Mathematical Physics, 2010 We give an example of infinite-order rational transformation that leaves a linear differential equation covariant. This example can be seen as a nontrivial but still simple illustration of an exact representation of the renormalization group.
A. Bostan +6 more
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Quantum‐Resistant Security in Digital Twin Healthcare Systems
IET Wireless Sensor Systems, Volume 16, Issue 1, January/December 2026.Quantum‐safe architecture for secure healthcare data transmission integrating QKD, edge devices, and cloud‐based Digital Twin analytics. ABSTRACT The development of digital twin (DT) systems for healthcare presents several challenges, particularly in ensuring data protection and communication security in real‐time environments.
Ahmed K. Jameil, Hamed Al‐Raweshidy
wiley +1 more source
On families of K3 surfaces with real multiplication
Forum of Mathematics, SigmaWe exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies.
Bert van Geemen, Matthias Schütt
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A Compact and Scalable Hardware/Software Co-design of SIKE
Transactions on Cryptographic Hardware and Embedded Systems, 2020 We present efficient and compact hardware/software co-design implementations of the Supersingular Isogeny Key Encapsulation (SIKE) protocol on field-programmable gate arrays (FPGAs).
Pedro Maat C. Massolino +3 more
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The modular automorphisms of quotient modular curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
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Constant time lattice reduction in dimension 4 with application to SQIsign
Transactions on Cryptographic Hardware and Embedded SystemsIn this paper we propose a constant time lattice reduction algorithm for integral dimension-4 lattices. Motivated by its application in the SQIsign postquantum signature scheme, we provide for the first time a constant time LLLlike algorithm with ...
Otto Hanyecz +4 more
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A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
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