Results 161 to 170 of about 3,524 (301)
On the discrete logarithm problem
, 2008 Let $p>2$ be prime and $g$ a primitive root modulo $p$. We present an argument for the fact that discrete logarithms of the numbers in any arithmetic progression are uniformly distributed in $[1,p]$ and raise some questions on the subject.
openaire +2 more sources
Elliptic Curve Discrete Logarithms and the Index Calculus
. The discrete logarithm problem forms the basis of numerous cryptographic systems. The most effective attack on the discrete logarithm problem in the multiplicative group of a finite field is via the index calculus, but no such method is known for ...
Joe Suzuki, Joseph H. Silverman
core
Advanced Science, EarlyView.Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang +2 more
wiley +1 more source
Advanced Science, EarlyView.Inspired by Nostoc, a crack‐based one‐dimensional microspheres array (COMA) sensor is developed, which stabilizes crack geometry under isotropic expansion, enabling a predictable, monotonic thermal response from which true strain can be accurately extracted. The COMA sensor exhibits high sensitivity at ultralow deformation (gauge factor up to 89) and a
Wanqing Xu +7 more
wiley +1 more source
Mirror Descent and Exponentiated Gradient Algorithms Using Trace-Form Entropies. [PDF]
Entropy (Basel)Cichocki A +3 more
europepmc +1 more source
Advanced Science, EarlyView.SpaMode introduces a versatile framework for spatial multi‐omics integration across vertical, horizontal, and mosaic scenarios. By disentangling modality‐invariant and variant features through a mixture‐of‐experts mechanism, it adaptively reconfigures spatially heterogeneous signals.
Xubin Zheng +6 more
wiley +1 more source
Advanced Science, EarlyView.A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai +3 more
wiley +1 more source
Support Size of <i>ε</i>-Capacity-Achieving Inputs for the Amplitude-Constrained AWGN Channel. [PDF]
Entropy (Basel)Barletta L, Dytso A.
europepmc +1 more source
Advanced Science, EarlyView.Cuttlebone‐inspired architected metamaterials introduce controlled structural disorder to simultaneously enhance strength, energy absorption, and compressive stability. Tunable disorder suppresses shear anisotropy, outperforms periodic lattices, and establishes discrete randomness as a robust route to high‐performance lightweight mechanical ...
Zengqin Shi +7 more
wiley +1 more source
A Complex Tension Origin for Dilaton Gravity: Jordan Stiffness and Logarithmic Einstein Dynamics. [PDF]
Entropy (Basel)Vaillant M, Scott TC.
europepmc +1 more source