Results 41 to 50 of about 385 (161)
Infinite Primes, Quadratic Polynomials, and Fermat’s Criterion
, 2023 In this study, we explore the existence of an infinite number of primes represented by the quadratic polynomial 4(Mp − 2)2 + 1 . We propose a hypothesis that considers Fermat primes as a criterion for the infinitude of such primes, where Mp represents ...
Budee U Zaman (16417167)
core +1 more source
On the emergence of the Quanta Prime sequence
Arab Journal of Basic and Applied SciencesThis paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj +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 +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 +7 more
wiley +1 more source
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
Generation of Fast Finite Field Arithmetic forCortex-M4 with ECDH and SQIsign Applications
Transactions on Cryptographic Hardware and Embedded SystemsFinite field arithmetic is central to several cryptographic algorithms on embedded devices like the ARM Cortex-M4, particularly for elliptic curve and isogenybased cryptography.
Felix Carvalho Rodrigues +7 more
doaj +1 more source
Batched ranged random integer generation
Software: Practice and Experience, Volume 55, Issue 1, Page 155-169, January 2025.Summary Pseudorandom values are often generated as 64‐bit binary words. These random words need to be converted into ranged values without statistical bias. We present an efficient algorithm to generate multiple independent uniformly‐random bounded integers from a single uniformly‐random binary word, without any bias.
Nevin Brackett‐Rozinsky, Daniel Lemire
wiley +1 more source
ALL EVEN (UNITARY) PERFECT POLYNOMIALS OVER F 2 WITH ONLY MERSENNE PRIMES AS ODD DIVISORS
, 2022 International audienceWe address an arithmetic problem in the ring F 2 [x]. We prove that the only (unitary) perfect polynomials over F 2 that are products of x, x + 1 and of Mersenne primes are precisely the nine (resp. nine "classes") known ones.
Rahavandrainy, Olivier +1 more
core +1 more source
IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.This paper proposes an improved group target tracking algorithm based on rigid‐body similarity model and measurement fusion, implemented across different random finite set filtering frameworks. The method outperforms traditional VLFM algorithms in the GMPHD framework and demonstrates robustness against varying clutter densities in the PMBM framework ...
Kai Chang +4 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 SystemsThe 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