Peter Beelen

According to our database1, Peter Beelen authored at least 40 papers between 2000 and 2020.

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PhD thesis 


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On subfields of the second generalization of the GK maximal function field.
Finite Fields Their Appl., 2020

Hyperplane sections of determinantal varieties over finite fields and linear codes.
Discret. Math., 2020

Foreword - Special Issue: Codes, Cryptology and Curves in honour of Ruud Pellikaan.
Des. Codes Cryptogr., 2020

Fast Encoding of AG Codes over C<sub>ab</sub> Curves.
CoRR, 2020

Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes.
CoRR, 2020

Linear codes associated to skew-symmetric determinantal varieties.
Finite Fields Their Appl., 2019

A note on the generalized Hamming weights of Reed-Muller codes.
Appl. Algebra Eng. Commun. Comput., 2019

Explicit MDS Codes With Complementary Duals.
IEEE Trans. Inf. Theory, 2018

Two-Point Codes for the Generalized GK Curve.
IEEE Trans. Inf. Theory, 2018

A new family of maximal curves.
J. Lond. Math. Soc., 2018

Weierstrass semigroups on the Giulietti-Korchmáros curve.
Finite Fields Their Appl., 2018

Generalized Hamming weights of affine Cartesian codes.
Finite Fields Their Appl., 2018

Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography.
Proceedings of the 2018 IEEE International Symposium on Information Theory, 2018

A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field.
Finite Fields Their Appl., 2017

Maximum Number of Common Zeros of Homogeneous Polynomials over Finite Fields.
CoRR, 2017

Counting generalized Reed-Solomon codes.
Adv. Math. Commun., 2017

Twisted reed-solomon codes.
Proceedings of the 2017 IEEE International Symposium on Information Theory, 2017

The structure of dual Grassmann codes.
Des. Codes Cryptogr., 2016

Sub-Quadratic Decoding of One-Point Hermitian Codes.
IEEE Trans. Inf. Theory, 2015

Twisted Polynomials and Forgery Attacks on GCM.
IACR Cryptol. ePrint Arch., 2015

Linear codes associated to determinantal varieties.
Discret. Math., 2015

An Improvement of the Gilbert-Varshamov Bound Over Nonprime Fields.
IEEE Trans. Inf. Theory, 2014

On Rational Interpolation-Based List-Decoding and List-Decoding Binary Goppa Codes.
IEEE Trans. Inf. Theory, 2013

Bounding the number of points on a curve using a generalization of Weierstrass semigroups.
Des. Codes Cryptogr., 2013

On the dimension of graph codes with Reed-Solomon component codes.
Proceedings of the 2013 IEEE International Symposium on Information Theory, 2013

Duals of Affine Grassmann Codes and Their Relatives.
IEEE Trans. Inf. Theory, 2012

Bilinear Relative Equilibria of Identical Point Vortices.
J. Nonlinear Sci., 2012

On The Distribution of Linear Biases: Three Instructive Examples.
IACR Cryptol. ePrint Arch., 2012

A new construction of highly nonlinear S-boxes.
Cryptogr. Commun., 2012

Affine Grassmann codes.
IEEE Trans. Inf. Theory, 2010

Key equations for list decoding of Reed-Solomon codes and how to solve them.
J. Symb. Comput., 2010

Efficient list decoding of a class of algebraic-geometry codes.
Adv. Math. Commun., 2010

Reconstruction of Highly Non Linear Sboxes from Linear Codes.
Proceedings of the Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes, 2009

A generalization of Baker's theorem.
Finite Fields Their Appl., 2009

The Order Bound for Toric Codes.
Proceedings of the Applied Algebra, 2009

Decoding Folded Reed-Solomon Codes Using Hensel-Lifting.
Proceedings of the Gröbner Bases, Coding, and Cryptography, 2009

A Syndrome Formulation of the Interpolation Step in the Guruswami-Sudan Algorithm.
Proceedings of the Coding Theory and Applications, Second International Castle Meeting, 2008

The order bound for general algebraic geometric codes.
Finite Fields Their Appl., 2007

Towards a classification of recursive towers of function fields over finite fields.
Finite Fields Their Appl., 2006

The Newton Polygon of Plane Curves with Many Rational Points.
Des. Codes Cryptogr., 2000