Results 41 to 50 of about 132 (122)

Finiteness and Explicit Solutions of 2x + pnqy = z2 for Certain Odd Primes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We investigate all nonnegative integer solutions (x, y, z) of the exponential Diophantine equation 2x + pnqy = z2, where p and q are fixed odd primes, and n is a fixed positive integer. Using 2‐adic valuation techniques and known results on exponential equations, we classify all solutions explicitly under some conditions on p, q, and n.
Saeree Wananiyakul, Prathomjit Khachorncharoenkul, Sor.Narth Hiransri, Palatip Khong-In, Kittipong Laipaporn, Ahmed Saoudi   +5 more
wiley   +1 more source

NeonCROSS: Vectorized Implementation of Post-Quantum Signature CROSS on Cortex-A72 and Apple M3

Transactions on Cryptographic Hardware and Embedded Systems
The advancement of quantum computing threatens traditional public-key cryptographic systems, prompting the development of post-quantum cryptography (PQC).
Hanyu Wei, Wenqian Li, Yunlei Zhao
doaj   +1 more source

Effect of Displacement‐Dependent Stiffness Devices on Seismic Performance of Isolated Bridges

Structural Control and Health Monitoring, Volume 2026, Issue 1, 2026.
Seismic isolation systems have been employed in bridges to increase their lateral flexibility and thereby improve their performance by reflecting seismic energy away from the structure. In recent years, stiffness devices that could passively generate both positive and negative tangential stiffness that varies with displacement were introduced within ...
Christos D. Varsamis, Michael D. Symans, Gordon P. Warn, Lin Chen   +3 more
wiley   +1 more source

Assessing the problem of excitation light scattering in high‐viscosity jets used in serial crystallography sample delivery

Journal of Applied Crystallography, Volume 58, Issue 6, Page 2078-2089, December 2025.
We experimentally demonstrate that the scattering‐induced decrease in light intensity experienced by a crystal embedded in a high‐viscosity jet is very limited in materials such as lipidic cubic phase or hydroxyethyl cellulose, and therefore cannot justify the use of pump energies exceeding the linear excitation regime under realistic experimental ...
Stanisław Niziński, Bogdan Marekha, Jochen Reinstein, Robert L. Shoeman, R. Bruce Doak, Ilme Schlichting   +5 more
wiley   +1 more source

mid-pSquare: Leveraging the Strong Side-Channel Security of Prime-Field Masking in Software

Transactions on Cryptographic Hardware and Embedded Systems
Efficiently protecting embedded software implementations of standard symmetric cryptographic primitives against side-channel attacks has been shown to be a considerable challenge in practice.
Brieuc Balon, Lorenzo Grassi, Pierrick Méaux, Thorben Moos, François-Xavier Standaert, Matthias Johann Steiner   +5 more
doaj   +1 more source

StorjLedger: An Innovative Distributed Storage Ecosystem That Overcomes Blockchain Trade‐Offs Using Erasure‐Coded Sharding and Proof‐of‐Storage Consensus

Engineering Reports, Volume 7, Issue 10, October 2025.
StorjLedger leverages erasure‐coded sharding and Proof‐of‐Storage to deliver nearly 1000 transactions per second with sub‐second latency, 98% data redundancy, and 76% lower storage costs, resolving the blockchain trilemma by harmonizing scalability, security, and decentralization.
Saha Reno, Koushik Roy
wiley   +1 more source

Groups with triangle‐free graphs on p$p$‐regular classes

Mathematische Nachrichten, Volume 298, Issue 6, Page 1796-1807, June 2025.
Abstract Let p$p$ be a prime. In this paper, we classify the p$p$‐structure of those finite p$p$‐separable groups such that, given any three non‐central conjugacy classes of p$p$‐regular elements, two of them necessarily have coprime lengths.
M. J. Felipe, M. K. Jean‐Philippe, V. Sotomayor   +2 more
wiley   +1 more source

Variable‐Range Hopping Conduction in Amorphous, Non‐Stoichiometric Gallium Oxide

Advanced Electronic Materials, Volume 11, Issue 4, April 2025.
The combination of experimental evidence, ab‐initio DOS calculations and quantitative modeling by kinetic Monte Carlo simulations reveals: Variable‐range hopping (VRH) is the dominant electron conduction mechanism in a‐GaOx (x = 0.8 to 1.0), even at room temperature, which leads to a new, fundamental understanding of a‐GaOx‐based electronic devices ...
Philipp Hein, Tobias Romstadt, Fabian Draber, Jinseok Ryu, Thorben Böger, Andreas Falkenstein, Miyoung Kim, Manfred Martin   +7 more
wiley   +1 more source

Mersenne Primes in Real Quadratic Fields

, 2012
The concept of Mersenne primes is studied in real quadratic fields of class number 1. Computational results are given. The field $Q(\sqrt{2})$ is studied in detail with a focus on representing Mersenne primes in the form $x^{2}+7y^{2}$. It is also proved that $x$ is divisible by 8 and $y\equiv \pm3\pmod{8}$ generalizing the result of F Lemmermeyer ...
Palimar, Sushma, Shankar, B. R.
openaire   +3 more sources

A characterization of some finite simple groups by their character codegrees

Mathematische Nachrichten, Volume 298, Issue 4, Page 1356-1369, April 2025.
Abstract Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$.
Hung P. Tong‐Viet
wiley   +1 more source