Results 51 to 60 of about 82,329 (274)
Chiral Acoustic Phonon and Conservation of Pseudoangular Momentum in α‐Quartz
Advanced Materials, EarlyView.Chiral acoustic phonons in α‐quartz are probed via Brillouin light scattering, exploiting the photon's helicity and the crystal's handedness. The interaction obeys a selection rule arising from pseudoangular momentum conservation, enabling direct optical access to phonon chirality in nonsymmorphic crystals.
Changsoo Kim +8 more
wiley +1 more source
Irreducible polynomials in Int(ℤ)
ITM Web of Conferences, 2018 In order to fully understand the factorization behavior of the ring Int(ℤ) = {f ∈ ℚ[x] | f (ℤ) ⊆ ℤ} of integer-valued polynomials on ℤ, it is crucial to identify the irreducible elements.
Antoniou Austin +2 more
doaj +1 more source
A Digital Signature Scheme for Long-Term Security [PDF]
, 2014 In this paper we propose a signature scheme based on two intractable problems, namely the integer factorization problem and the discrete logarithm problem for elliptic curves.
Poulakis, Dimitrios, Rolland, Robert
core +1 more source
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
wiley +1 more source
Comparative analysis of integer factorization algorithms
MANAS: Journal of Engineering, 2015 Integer factorization problem, which is used as the basis in many public key cryptosystem, is generally thought to be hard problem even on a modern computers.
G. Kimsanova, R. Ismailova, R. Sultanov
doaj
An analogue in certain unique factorization domains of the Euclid-Euler theorem on perfect numbers
International Journal of Mathematics and Mathematical Sciences, 1990 We show that there exists a natural extention of the sum of divisors function to all unique factorization domains F having a finite number of units such that if a perfect number in F is defined to be an integer η whose proper divisors sum to η, then the ...
Wayne L. McDaniel
doaj +1 more source
New Semi-Prime Factorization and Application in Large RSA Key Attacks
Journal of Cybersecurity and Privacy, 2021 Semi-prime factorization is an increasingly important number theoretic problem, since it is computationally intractable. Further, this property has been applied in public-key cryptography, such as the Rivest–Shamir–Adleman (RSA) encryption systems for ...
Anthony Overmars +1 more
doaj +1 more source
Finding ECM-friendly curves through a study of Galois properties [PDF]
, 2012 In this paper we prove some divisibility properties of the cardinality of elliptic curves modulo primes. These proofs explain the good behavior of certain parameters when using Montgomery or Edwards curves in the setting of the elliptic curve method (ECM)
Barbulescu, Razvan +4 more
core +3 more sources
C16 Phase High Entropy Borides With High Magnetic Anisotropy
Advanced Materials, EarlyView.Rare‐earth‐free C16‐phase high entropy boride thin films exhibit enhanced magnetic anisotropy with coercivities surpassing their binary and ternary counterparts. Combinatorial synthesis of (Fe‐Co‐Ni‐Mn)2B films combined with density functional theory enables mapping of the magnetic properties across the composition space, revealing high entropy ...
Willie B. Beeson +5 more
wiley +1 more source
Neuromorphic Computing and EngineeringPercolating networks of nanoparticles (PNNs) are promising systems for neuromorphic computing due to their brain-like network structure and dynamics. In particular, electrical spiking in PNNs meets criteria for criticality, which is thought to be the ...
Sofie J Studholme +3 more
doaj +1 more source