Results 81 to 90 of about 103,432 (283)
Strict avalanche criterion over finite fields
Journal of Mathematical Cryptology, 2007 Boolean functions which satisfy the Strict Avalanche Criterion (SAC) play an important role in the art of information security. In this paper, we extend the concept of SAC to finite fields GF(p).
Li Yuan, Cusick T. W.
doaj +1 more source
Bivariate polynomial mappings associated with simple complex Lie algebras
, 2016 There are three families of bivariate polynomial maps associated with the rank-$2$ simple complex Lie algebras $A_2, B_2 \cong C_2$ and $G_2$. It is known that the bivariate polynomial map associated with $A_2$ induces a permutation of $\mathbf{F}_q^2 ...
Küçüksakallı, Ömer
core +1 more source
Advanced Optical Materials, EarlyView.Goos‐Hänchen shift (GHS) is a phenomenon in which an optical beam experiences a longitudinal displacement upon total internal reflection. In this work, we experimentally demonstrate an enhanced GHS in the wavelength domain using a helical fiber grating (HFG).
Zhang Meng +7 more
wiley +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
Permutation polynomials on matrices
Linear Algebra and its Applications, 1987 Let R be a finite field or a residue class ring of the integers, and let \(R_{n\times n}\) denote the ring of \(n\times n\) matrices over R. The paper presents families of polynomials over R, which induce, by substitution, permutations of \(R_{n\times n}\). Such polynomials are called permutation polynomials of \(R_{n\times n}\).
James, N.S., Lidl, R.
openaire +2 more sources
Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
On the class of square Petrie matrices induced by cyclic permutations
International Journal of Mathematics and Mathematical Sciences, 2004 Let n≥2 be an integer and let P={1,2,…,n,n+1}. Let Zp denote the finite field {0,1,2,…,p−1}, where p≥2 is a prime. Then every map σ on P determines a real n×n Petrie matrix Aσ which is known to contain information on the dynamical properties such as ...
Bau-Sen Du
doaj +1 more source
Permutation and local permutation polynomials of maximum degree
Afrika MatematikaAbstract Let $$\mathbb {F}_q$$ F q be the finite field with q elements and $$\mathbb {F}_q[x_1,\ldots , x_n]$$
Jaime Gutierrez, Jorge Jiménez Urroz
openaire +4 more sources
Permutation polynomials and complete permutation polynomials over $\mathbb{F}_{q^{3}}$
, 2018 31 ...
Wang, Yanping +3 more
openaire +2 more sources
Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source