Results 121 to 130 of about 12,820,749 (293)
Weil sum for birthday attack in multivariate quadratic cryptosystem
Journal of Mathematical Cryptology, 2007 We propose a new cryptanalytic application of a number theoretic tool Weil sum to birthday attack against multivariate quadratic trapdoor function.
Harayama Tomohiro, Friesen Donald K.
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Primitive Normal Polynomials Over Finite Fields
, 1994 In this note we significantly extend the range of published tables of primitive normal polynomials over finite fields. For each with , we provide a primitive normal polynomial of degree n over . Moreover, each polynomial has the minimal number of nonzero
Gary L. Mullen +3 more
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Multi‐Stage Social Value Orientation‐Based Lane‐Changing Driving for Autonomous Vehicles
Advanced Intelligent Systems, EarlyView.A multi‐stage SVO framework is developed to dynamically infer the social preferences of surrounding vehicles from human driving data. By combining offline learning, online SVO estimation, temporal intention tracking, and interaction‐aware planning, the framework enables autonomous vehicles to adapt lane‐changing decisions and trajectories to evolving ...
Nongrui Qin +4 more
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The characteristic polynomials of abelian varieties of dimensions 3 over finite fields
, 2010 We describe the set of characteristic polynomials of abelian varieties of dimension 3 over finite ...
Safia Haloui, Haloui, Safia
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Advanced Intelligent Systems, EarlyView.An intrinsically linear capacitive strain sensor based on an area‐variation mechanism is demonstrated. Lasermicromachined carbon fiber electrodes encapsulated in PDMS yield exceptional linearity and robustness. Integrated into smart gloves and soft continuum robot, this scalable strategy enables precise gesture recognition and real‐time shape ...
Quanliang Zhao +9 more
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Normal points on Artin–Schreier curves over finite fields
Comptes Rendus. MathématiqueIn 2022, S. D. Cohen and the two authors introduced and studied the concept of $(r, n)$-freeness on finite cyclic groups $G$ for suitable integers $r$, $n$, which is an arithmetic way of capturing elements of special forms that lie in the subgroups of $G$
Kapetanakis, Giorgos, Reis, Lucas
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Physical Reservoir Computing Using Microelectromechanical Systems
Advanced Physics Research, EarlyView.Physical reservoir computing (PRC) transforms micro‐electro‐mechanical (MEMS) sensors into intelligent computing nodes by utilizing their intrinsic nonlinear dynamics and short‐term memory effects. This review surveys recent progress in MEMS‐based reservoir computing, covering its theoretical foundations, device architectures, and applications in ...
Mariam Gada +2 more
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Groups of Permutation Polynomials over Finite Fields
Finite Fields and Their Applications, 1998 Let \(F=\text{GF}(q)\), \(q=p^n >2\) be a finite field and \(a\in F^*\) and \(b\in F\) and \(1\leq k \leq q-2.\) Let \(\tau_{a,b}: x \to ax+b\), and \(\pi_k:x\to x^k\) the linear polynomial and the power map, where \(k\) is prime to \(q-1.\) Define \(G_k=\langle \tau_{a,b}, \pi_k \mid a\in F^*, b\in F \rangle\). Then (i) If \(k=p^i\) and \(d=\text{gcd}(
openaire +2 more sources
Some Problems Concerning Polynomials over Finite Fields, or Algebraic Divertissements [PDF]
, 2013 In this thesis we consider some problems concerning polynomials over finite fields. The first topic is the action of some groups on irreducible polynomials. We describe orbits and stabilizers.
Pizzato, Marco
core
Advanced Physics Research, EarlyView.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
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