Results 81 to 90 of about 216 (184)

S-Boxهای پویای وابسته به کلید سبک وزن مبتنی بر ابرخم بیضوی برای دستگاه¬های اینترنت اشیا

علوم رایانش و فناوری اطلاعات, 2021
Security is one of the main issues in Internet of Things (IoT). Encryption plays a curtail role in making these systems secure. Substitution Box (S-Box) has an effective impact in block encryption methods. Due to the restricted resource capacities of IoT
پروانه اصغری, سید حمید حاج سید جوادی   +1 more
doaj  

Thurston obstructions and tropical geometry

Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2404-2428, August 2025.
Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
wiley   +1 more source

Fast genus 2 arithmetic based on Theta functions

Journal of Mathematical Cryptology, 2007
In 1986, D. V. Chudnovsky and G. V. Chudnovsky proposed to use formulae coming from Theta functions for the arithmetic in Jacobians of genus 2 curves.
Gaudry P.
doaj   +1 more source

Witt group of hyperelliptic curves

Commentarii Mathematici Helvetici, 1990
Let \(X\) be a smooth projective curve over a perfect field \(k\). Let \(W(k(X),\Omega_{k(X)})\) be the Witt group of the function field of \(X\) with values in the modules of differentials \(\Omega_{k(X)}\) of \(k(X)\). A residue homomorphism \(\partial\colon W(k(X),\Omega_{k(X)})\to \bigoplus_{x\in X} W(k(x))\) is defined in [\textit{W.-D.
Parimala, R., Sujatha, R.
openaire   +1 more source

The Ceresa period from tropical homology

Forum of Mathematics, Sigma
The Jacobian of a very general complex algebraic curve of genus at least 3 contains an algebraic cycle called the Ceresa cycle that is homologically trivial but algebraically nontrivial.
Caelan Ritter
doaj   +1 more source

Efficiently Computable Endomorphisms for Hyperelliptic Curves [PDF]

, 2006
Elliptic curves have a well-known and explicit theory for the construction and application of endomorphisms, which can be applied to improve performance in scalar multiplication. Recent work has extended these techniques to hyperelliptic Jacobians, but one obstruction is the lack of explicit models of curves together with an efficiently computable ...
David R. Kohel, Benjamin A. Smith
openaire   +2 more sources

HYPERELLIPTIC INTEGRALS AND SPECIAL FUNCTIONS FOR THE SPATIAL VARIATIONAL PROBLEM

Проблемы анализа
The study of the properties of special functions plays an important role in solving many problems in geometric function theory. We study the properties of hyperelliptic integrals and special functions, which definition includes a parameter that depends
B. E. Levitskii, A. S. Ignatenko
doaj   +1 more source

FROM HYPERELLIPTIC TO SUPERELLIPTIC CURVES

Albanian Journal of Mathematics, 2019
survey paper on hyperelliptic and superelliptic curves; 96 ...
Malmendier, Andreas, Shaska, Tony
openaire   +3 more sources

Hilbert's Seventeenth Problem and Hyperelliptic Curves [PDF]

LMS Journal of Computation and Mathematics, 2008
This article deals with a constructive aspect of Hilbert's seventeenth problem: producing a collection of real polynomials in two variables, of degree 8 in one variable, which are positive but are not sums of three squares of rational fractions.To do this we use a reformulation of this problem in terms of hyperelliptic curves due to Huisman and Mahé ...
openaire   +2 more sources

Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves

Complex Manifolds, 2017
We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other
Dong Robert Xin
doaj   +1 more source