Results 41 to 50 of about 18,463 (180)

Drinfeld modules may not be for isogeny based cryptography [PDF]

, 2020
Elliptic curves play a prominent role in cryptography. For instance, the hardness of the elliptic curve discrete logarithm problem is a foundational assumption in public key cryptography.
Anand Kumar Narayanan, Antoine Joux
core  

Isogeny-based Oblivious Transfer Protocols [PDF]

, 2021
This thesis studies isogeny-based cryptography and its applications to oblivious transfer protocols. Isogeny crypto is based on difficult problems on the graph of isogenies between supersingular elliptic curves.
ZANOTTO, RICCARDO
core  

A subexponential-time, polynomial quantum space algorithm for inverting the CM group action

Journal of Mathematical Cryptology, 2020
We present a quantum algorithm which computes group action inverses of the complex multiplication group action on isogenous ordinary elliptic curves, using subexponential time, but only polynomial quantum space.
Jao David, LeGrow Jason, Leonardi Christopher, Ruiz-Lopez Luis   +3 more
doaj   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

dCTIDH: Fast & Deterministic CTIDH

Transactions on Cryptographic Hardware and Embedded Systems
This paper presents dCTIDH, a CSIDH implementation that combines two recent developments into a novel state-of-the-art deterministic implementation. We combine the approach of deterministic variants of CSIDH with the batching strategy of CTIDH, which ...
Fabio Campos, Andreas Hellenbrand, Michael Meyer, Krijn Reijnders   +3 more
doaj   +1 more source

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

The Genetic Factors Controlling the Accumulation of Amylase/Trypsin Inhibitors (ATIs) in Barley for Enhancing Human Nutrition and Health

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, Samar G. Thabet, Mashael D. Alqahtani, Matías Schierenbeck, Sarah Joestl, Sabrina Geisslitz, Katharina A. Scherf, Andreas Börner, Ahmad M. Alqudah   +8 more
wiley   +1 more source

Towards Isogeny-Based Password-Authenticated Key Establishment

Journal of Mathematical Cryptology, 2020
Password authenticated key establishment (PAKE) is a cryptographic primitive that allows two parties who share a low-entropy secret (a password) to securely establish cryptographic keys in the absence of public key infrastructure.
Taraskin Oleg, Soukharev Vladimir, Jao David, LeGrow Jason T.   +3 more
doaj   +1 more source

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

Exploring Post-Quantum Cryptography: Review and Directions for the Transition Process

Technologies
As quantum computing advances, current cryptographic protocols are increasingly vulnerable to quantum attacks, particularly those based on Public Key Infrastructure (PKI) like RSA or Elliptic Curve Cryptography (ECC).
Kanza Cherkaoui Dekkaki, Igor Tasic, Maria-Dolores Cano   +2 more
doaj   +1 more source