Publications related to Finite group

Distributed computation of generalized Nash equilibria in quadratic aggregative games with affine coupling constraints

We analyse deterministic aggregative games, with large but finite number of players, that are subject to both local and coupling constraints. Firstly, we derive sufficient conditions for the existence of a generalized Nash equilibrium, by using the theory ...

IEEE2016

Computational Aspects of Jacobians of Hyperelliptic Curves

Alina Dudeanu

Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...

EPFL2016

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

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

In this article, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a pa ...

2016

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

Multiple-field based code generator and decoder for communications systems

Mohammad Amin Shokrollahi, Lorenz Minder

A method of encoding data for transmission from a source to a destination over a communications channel is provided. The method operates on an ordered set of input symbols and includes generating a plurality of redundant symbols from the input symbols base ...

2016

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Michaël Unser, Julien René Pierre Fageot, Harshit Gupta

We present a theoretical analysis and comparison of the effect of

ℓ _{ 1 }

versus

ℓ _{ 2 }

regularization for the resolution of ill-posed linear inverse and/or compressed sensing problems. Our formulation covers the most general setting where the s ...

IEEE2016

Improved Masking for Tweakable Blockciphers with Applications to Authenticated Encryption

Robert Granger, Philipp Svetolik Jovanovic

A popular approach to tweakable blockcipher design is via masking, where a certain primitive (a blockcipher or a permutation) is preceded and followed by an easy-to-compute tweak-dependent mask. In this work, we revisit the principle of masking. We do so a ...

Springer Int Publishing Ag2016

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Distributed computation of generalized Nash equilibria in quadratic aggregative games with affine coupling constraints

Computational Aspects of Jacobians of Hyperelliptic Curves

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

A posteriori error estimations for elliptic partial differential equations with small uncertainties

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Multiple-field based code generator and decoder for communications systems

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Improved Masking for Tweakable Blockciphers with Applications to Authenticated Encryption

Distributed computation of generalized Nash equilibria in quadratic aggregative games with affine coupling constraints

Computational Aspects of Jacobians of Hyperelliptic Curves

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

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

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

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Multiple-field based code generator and decoder for communications systems

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Improved Masking for Tweakable Blockciphers with Applications to Authenticated Encryption