Results 41 to 50 of about 22,173,063 (167)

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

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

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

Finding Practical Parameters for Isogeny-based Cryptography

IACR Communications in Cryptology
Isogeny-based schemes often come with special requirements on the field of definition of the involved elliptic curves. For instance, the efficiency of SQIsign, a promising candidate in the NIST signature standardisation process, requires a large power of two and a large smooth integer
Maria Corte-Real Santos, Jonathan Komada Eriksen, Michael Meyer 0001, Francisco Rodríguez-Henríquez   +3 more
openaire   +2 more sources

Erasure‐Coded Sharding and Proof‐of‐Storage for Practical Blockchain Trilemma Balance

IET Blockchain, Volume 6, Issue 1, January/December 2026.
The proposed storage‐first blockchain framework resolves the blockchain trilemma by synergistically combining decentralised storage, zero‐knowledge proofs and sharded proof‐of‐storage consensus. Empirical evaluation demonstrates a peak throughput of 2800 transactions per second with low latency and strong Byzantine fault tolerance, while substantially ...
Saha Reno, Koushik Roy, G M Abdullah Al Kafi, Khandakar Md Shafin   +3 more
wiley   +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

Classical and Quantum Algorithms for Isogeny-based Cryptography [PDF]

, 2015
Isogeny-based cryptography using supersingular elliptic curves --- most prominently, the constructions of De Feo-Jao-Plut --- is one of the few practical candidates for post-quantum public key cryptography. Its formidable security claim is earned through
Sankar, Anirudh
core