Results 121 to 130 of about 2,924 (299)
, 1994 6.19> public key cryptosystems (also known as asymmetric cryptosystems and open encryption key cryptosystems) [12, 13]. The security of such systems depends on the (assumed) difficulty of factoring the product of two large primes. This is a practical
Margaret Kahn (editors +3 more
core
Deterministic Integer Factorization Algorithms
CoRR, 2013 A new integer deterministic factorization algorithm, rated at arithmetic operations to $O(N^{1/6+\varepsilon})$ arithmetic operations, is presented in this note. Equivalently, given the least $(\log N)/6$ bits of a factor of the balanced integer $N = pq$, where $p$ and $q$ are primes, the algorithm factors the integer in polynomial time $O(\log(N)^c)$,
openaire +2 more sources
Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Advanced Science, EarlyView.Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
wiley +1 more source
Integer Factorization: Another perspective
CoRRInteger factorization is a fundamental problem in algorithmic number theory and computer science. It is considered as a one way or trapdoor function in the (RSA) cryptosystem. To date, from elementary trial division to sophisticated methods like the General Number Field Sieve, no known algorithm can break the problem in polynomial time, while its ...
Gilda Rech Bansimba +1 more
openaire +2 more sources
Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization
Advanced Science, EarlyView.A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley +1 more source
, 2011 8 pagesGroup signature schemes allow a user, belonging to a speci c group of users, to sign a message in an anonymous way on behalf of the group. In general, these schemes need the collaboration of a Trusted Third Party which, in case of a dispute ...
Muñoz Masqué, Jaime +5 more
core +1 more source
Factorizing two-loop vacuum sum-integrals
Journal of High Energy PhysicsWe derive analytic results for scalar massless bosonic vacuum sum-integrals at two loops. Building upon a recent factorization proof of massive two-loop vacuum integrals, we are able to solve the corresponding Matsubara sums and map the result onto one ...
Andrei I. Davydychev +2 more
doaj +1 more source
Real‐Time Investigation of Interfacial Evolution in Electrochemical Energy Storage Systems via EQCM
Advanced Science, EarlyView.Understanding the electrode/electrolyte interface (EEI) is crucial for supercapacitors and batteries. EQCM, by enabling real‐time monitoring of mass changes during charge–discharge cycles, has evolved into a vital method for analysis of EEI. It provides important insights into charge‐storage mechanisms, electrode structural evolution, ion‐transfer ...
Zixuan Wang, Situo Cheng, Guang Feng
wiley +1 more source
Advanced Electronic Materials, EarlyView.In this work, low‐resolution infrared imaging is combined with a 28 nm FeFET IMC architecture to enable compact, energy‐efficient edge inference. MLC FeFET devices are experimentally characterized, and controlled multi‐level current accumulation is validated at crossbar array level.
Alptekin Vardar +9 more
wiley +1 more source
Controllable Ge Hut Wires With Mobilities Exceeding 20 000 cm2 V−1 s−1
Advanced Electronic Materials, EarlyView.The controlled growth of germanium hut wires on patterned SiGe/Si(001) substrates is reported. These self‐assembled nanowires achieve a record hole mobility of 22 900 cm2 V−1 s−1 at 4.2 K. Remarkably, conductance quantization is observed at a channel length of 1.9 µm, highlighting their exceptionally low disorder and paving the way for scalable, high ...
Ming Ming +7 more
wiley +1 more source