Publications related to Factorization of polynomials

Cryptosystems based on rank metric codes have been considered as an alternative to McEliece cryptosystems due to the relative difficulty of solving the rank syndrome decoding problem. Generic attacks have recently seen several improvements, notably in the ...

Ieee2016

Spectral Methods for Hyperbolic Problems

Jan Sickmann Hesthaven

We review spectral methods for the solution of hyperbolic problems. To keep the discussion concise, we focus on Fourier spectral methods and address key issues of accuracy, stability, and convergence of the numerical approximations. Polynomial methods are ...

Elsevier Publishing2016

Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets

Giovanni Migliorati

We present novel Markov-type and Nikolskii-type inequalities for multivariate polynomials associated with arbitrary downward closed multi-index sets in any dimension. Moreover, we show how the constant of these inequalities changes, when the polynomial is ...

Elsevier2015

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

\mathbb{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 log ...

2015

Isometries of quadratic spaces

Eva Bayer Fluckiger

Let k be a global field of characteristic not 2, and let f is an element of k[X] be an irreducible polynomial. We show that a non-degenerate quadratic space has an isometry with minimal polynomial f if and only if such an isometry exists over all the compl ...

European Mathematical Soc2015

Budgeted sensor placement for source localization on trees

Patrick Thiran, Laura Elisa Celis, Brunella Marta Spinelli

We address the problem of choosing a fixed number of sensor vertices in a graph in order to detect the source of a partially-observed diffusion process on the graph itself. Building on the definition of double resolvability we introduce a notion of vertex ...

2015

Inverse Rendering of Lambertian Surfaces Using Subspace Methods

Quy Ha Nguyen, Minh Do

We propose a vector space approach for inverse rendering of a Lambertian convex object with distant light sources. In this problem, the texture of the object and arbitrary lightings are both to be recovered from multiple images of the object and its 3D mod ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Multimodal graph theoretical analysis of functional brain connectivity using adaptive two-step strategy

Dimitri Nestor Alice Van De Ville, Djalel Eddine Meskaldji

Recently, we proposed a two-step adaptive strategy for the statistical analysis of brain connectivity that is based on a first screening at the subnetwork level and a filtering at the connection/node level. The method was shown to guarantee strong control ...

2014

Factorization of polynomials

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ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

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

Considerations for Rank-based Cryptosystems

Spectral Methods for Hyperbolic Problems

Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets

On the discrete logarithm problem in finite fields of fixed characteristic

Isometries of quadratic spaces

Budgeted sensor placement for source localization on trees

Inverse Rendering of Lambertian Surfaces Using Subspace Methods

Multimodal graph theoretical analysis of functional brain connectivity using adaptive two-step strategy

On the discrete logarithm problem in finite fields of fixed characteristic

Isometries of quadratic spaces

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets

Multimodal graph theoretical analysis of functional brain connectivity using adaptive two-step strategy

Considerations for Rank-based Cryptosystems

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

Budgeted sensor placement for source localization on trees

Inverse Rendering of Lambertian Surfaces Using Subspace Methods

Spectral Methods for Hyperbolic Problems