Publications associées à Anneau fini

Isogeny graphs of ordinary abelian varieties

Dimitar Petkov Jetchev, Benjamin Pierre Charles Wesolowski, Ernest Hunter Brooks

Fix a prime number l. Graphs of isogenies of degree a power of l are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the case of absolutely simple ordinary abelian varieties over a finite field. We analyse gr ...

Springer Heidelberg2017

Distinct distances on regular varieties over finite fields

Van Thang Pham

In this paper we study some generalized versions of a recent result due to Covert, Koh, and Pi (2015). More precisely, we prove that if a subset in a regular variety satisfies vertical bar epsilon vertical bar >> q(d-1/2 + 1/k-1), then Delta(k,F)(epsilon) ...

Elsevier2017

Indiscreet discrete logarithms

Robert Granger

In 2013 and 2014 a revolution took place in the understanding of the discrete logarithm problem (DLP) in finite fields of small characteristic. Consequently, many cryptosystems based on cryptographic pairings were rendered completely insecure, which serves ...

2017

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Van Thang Pham

In this thesis we study a number of problems in Discrete Combinatorial Geometry in finite spaces. The contents in this thesis are structured as follows: In Chapter 1 we will state the main results and the notations which will be used throughout the thesis. ...

EPFL2017

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Alfio Quarteroni, Shengfeng Zhu

Discretization methods such as finite differences or finite elements were usually employed to provide high fidelity solution approximations for reduced order modeling of parameterized partial differential equations. In this paper, a novel discretization te ...

Edp Sciences S A2017

Axially Equilibrated Displacement-based Beam Element: Implementation in OpenSees and Application to Dynamic Analysis of Structures

Katrin Beyer, João Saraiva Esteves Pacheco de Almeida, Danilo Tarquini

Experimental tests on the inelastic behavior of RC bridge piers have shown that, due to tension shift effects, the curvature profile above the base section of the structural member differs from the one that would develop according to a force-based or a cla ...

2017

MATHICSE Technical Report : aortic root stresses in presence of stentless and stented aortic valve bio-prostheses

Alfio Quarteroni, Christian Vergara, Elena Faggiano

We provide a computational comparison of the performance of stentless and stented aortic prostheses, in terms of aortic root displacements and internal stresses. To this aim, we consider three real patients; for each of them we draw the two prostheses conf ...

MATHICSE2016

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Robert Granger

For any positive integers

n\geq 3, r\geq 1

we present formulae for the number of irreducible polynomials of degree

n

over the finite field

\mathbb{F}_{2^r}

where the coefficients of

x^{n-1}

,

x^{n-2}

and

x^{n-3}

are zero. Our proofs involve coun ...

Elsevier2016

Wave propagation in periodic buckled beams. Part II: Experiments

Alessandro Spadoni, Florian Paul Robert Maurin

Buckled periodic beams possess a geometrically nonlinear, load-deformation relation and intrinsic length scales such that stable, nonlinear waves are possible. In part I of this paper, a model has been derived that predict compressive/rarefaction, superson ...

Elsevier Science Bv2016

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For~

q

a prime power, the discrete logarithm problem (DLP) in~

\F_{q}

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer~

x

such that

g^x = h

. We present an algorithm for computing discrete logarithm ...

2016

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Isogeny graphs of ordinary abelian varieties

Distinct distances on regular varieties over finite fields

Indiscreet discrete logarithms

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Axially Equilibrated Displacement-based Beam Element: Implementation in OpenSees and Application to Dynamic Analysis of Structures

MATHICSE Technical Report : aortic root stresses in presence of stentless and stented aortic valve bio-prostheses

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Wave propagation in periodic buckled beams. Part II: Experiments

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Distinct distances on regular varieties over finite fields

Isogeny graphs of ordinary abelian varieties

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Axially Equilibrated Displacement-based Beam Element: Implementation in OpenSees and Application to Dynamic Analysis of Structures

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Indiscreet discrete logarithms

MATHICSE Technical Report : aortic root stresses in presence of stentless and stented aortic valve bio-prostheses

Wave propagation in periodic buckled beams. Part II: Experiments