Publications related to Minimum distance of elliptic codes

Thermally induced group effects among energy piles

Lyesse Laloui, Alessandro Francesco Rotta Loria

The behaviour of conventional pile groups (e.g., closely spaced) that are subjected to mechanical loads has been shown to be different than the behaviour of single isolated piles. The so-called group effects are responsible for this behaviour and must be c ...

2017

Some consequences of Masser's counting theorem on elliptic curves

Valéry Aurélien Mahé

We use Masser's counting theorem to prove a lower bound for the canonical height in powers of elliptic curves. We also prove the Galois case of the elliptic Lehmer problem, combining Kummer theory and Masser's result with bounds on the rank and torsion of ...

Springer Heidelberg2017

Group diffusion LMS

Ali H. Sayed, Jie Chen

Considering groups of variables, rather than variables individually, can be beneficial for estimation accuracy if structural relationships between variables exist (e.g., spatial, hierarchical or related to the physics of the problem). Group-sparsity induci ...

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

Atum: Scalable Group Communication Using Volatile Groups

Rachid Guerraoui, Anne-Marie Kermarrec, Dragos-Adrian Seredinschi, Matej Pavlovic

This paper presents Atum, a group communication middleware for a large, dynamic, and hostile environment. At the heart of Atum lies the novel concept of volatile groups: small, dynamic groups of nodes, each executing a state machine replication protocol, o ...

ACM Press2016

Height of rational points on quadratic twists of a given elliptic curve

Pierre Francis André Le Boudec

We formulate a conjecture about the distribution of the canonical height of the lowest non-torsion rational point on a quadratic twist of a given elliptic curve, as the twist varies. This conjecture seems to be very deep and we can prove only partial resul ...

Oxford Univ Press2016

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

On The Number Of Ordinary Conics

Frank de Zeeuw, Adrian Claudiu Valculescu

We prove a lower bound on the number of ordinary conics determined by a finite point set in R-2. An ordinary conic for S subset of R-2 is a conic that is determined by five points of S and contains no other points of S. Wiseman and Wilson proved the Sylves ...

Siam Publications2016

The xi-stability on the affine grassmannian

Zongbin Chen

We introduce a notion of xi-stability on the affine grassmannian (SIC) for the classical groups, this is the local version of the xi-stability on the moduli space of Higgs bundles on a curve introduced by Chaudouard and Laumon. We prove that the quotient ( ...

Springer Heidelberg2015

Deciphering the Silent Participant. On the Use of Audio-Visual Cues for the Classification of Listener Categories in Group Discussions

Jean-Marc Odobez, Kenneth Alberto Funes Mora, Catharine Regina Monika Maria Oertel Genannt Bierbach

Estimating a silent participant’s degree of engagement and his role within a group discussion can be challenging, as there are no speech related cues available at the given time. Having this information available, however, can provide important insights in ...

ACM2015

Minimum distance of elliptic codes

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Thermally induced group effects among energy piles

Some consequences of Masser's counting theorem on elliptic curves

Group diffusion LMS

Computational Aspects of Jacobians of Hyperelliptic Curves

Atum: Scalable Group Communication Using Volatile Groups

Height of rational points on quadratic twists of a given elliptic curve

An Inner-Product Calculus for Periodic Functions and Curves

On The Number Of Ordinary Conics

The xi-stability on the affine grassmannian

Deciphering the Silent Participant. On the Use of Audio-Visual Cues for the Classification of Listener Categories in Group Discussions

Group diffusion LMS

Computational Aspects of Jacobians of Hyperelliptic Curves

Height of rational points on quadratic twists of a given elliptic curve

Some consequences of Masser's counting theorem on elliptic curves

Thermally induced group effects among energy piles

On The Number Of Ordinary Conics

The xi-stability on the affine grassmannian

Deciphering the Silent Participant. On the Use of Audio-Visual Cues for the Classification of Listener Categories in Group Discussions

Atum: Scalable Group Communication Using Volatile Groups

An Inner-Product Calculus for Periodic Functions and Curves