Results 111 to 120 of about 391,951 (282)
Public Key Cryptography over the Gaussian and Eisenstein Integers
, 2023 Public key encryption has been studied in great detail mainly in the context of the ring of integers. In this thesis, we develop analogues of popular encryption schemes in the settings of Gaussian and Eisenstein integers.
Fazekas, Stefanie
core +1 more source
TWFalcon: Triple-Word Arithmetic for Falcon
Transactions on Cryptographic Hardware and Embedded SystemsThe post-quantum signature scheme Falcon is an attractive scheme for constrained devices due to its compactness and verification performance. However, it relies on floating-point arithmetic for signature generation, which - alongside physical security ...
Stef Halmans +4 more
doaj +1 more source
Diffraction‐Free Natural Optical Skyrmions and Their Subwavelength Confinement Around Vortices
Laser &Photonics Reviews, EarlyView.ABSTRACT Diffraction causes waves to spread out as they propagate freely. The tighter the lateral confinement, the faster the spreading. Past research on how to suppress diffraction has been based on wave engineering and has led so far to idealized waves that, in real settings, eventually diffract.
Nilo Mata‐Cervera +4 more
wiley +1 more source
Divisor function of Gaussian integers
, 2012 Построена асимптотическая формула для сумматорной функции, ассоциированной с функцией делителей т(w) кольца целых гауссовых чисел.Побудовано асимптотичну формулу для суматорної функції, асоційованої з функцією дільників т(w) кільця цілих гауссових чисел ...
Radova, А. S. +4 more
core +1 more source
MathematicsGaussian networks are degree-four symmetric interconnection networks defined over residue classes of Gaussian integers. Earlier work showed that, when the generator α=a+bi satisfies gcd(a,b)=1, the real and imaginary dimensions directly form two edge ...
Bader Albader
doaj +1 more source
From Planar to 3D Nanophotonic Lenses: Advancing Design, Fabrication, and Applications
Laser &Photonics Reviews, EarlyView.Three‐dimensional nanophotonic lenses are enabled by an integrated workflow that links design parameterization, full‐wave electromagnetic simulation, computational optimization, and freeform fabrication. This Review summarizes how these tools expand optical design freedom beyond a single patterned plane by enriching the local meta‐atom response and ...
Wei Zhu +2 more
wiley +1 more source
Patterns for functions on the gaussian integers
, 2016 A complex-valued function is applied to the Gaussian integers in a square centered at the origin, showing nested patterns and motifsComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Bryant, Jeff, Carvalho, Daniel de Souza
core +2 more sources
Security systems based on Gaussian integers : Analysis of basic operations and time complexity of secret transformations [PDF]
, 2011 Many security algorithms currently in use rely heavily on integer arithmetic modulo prime numbers. Gaussian integers can be used with most security algorithms that are formulated for real integers.
Koval, Aleksey
core +1 more source
Complex Noise-Based Phase Retrieval Using Total Variation and Wavelet Transform Regularization
PhotonicsThis paper presents a phase retrieval algorithm that incorporates sparsity priors into total variation and framelet regularization. The proposed algorithm exploits the sparsity priors in both the gradient domain and the spatial distribution domain to ...
Xing Qin +3 more
doaj +1 more source
MODUL FAKTOR YANG DIBENTUK DARI SUBMODUL Z^2 PADA MODUL R^2 ATAS GAUSSIAN INTEGERS
, 2012 We prove that ℝ2 is module over Gaussian Intergers and the set of all coset of submodule in module ℝ2 over Gaussian Integers is a quotient module. We find the proof by showing that ℝ2 is both a right module and a left module over Gaussian Integers ...
Wardayani, Ari
core +1 more source