Peter Beelen

Publication Activity (10 Years)

Years Active: 2000-2023
Publications (10 Years): 37

Top Topics

Reed Solomon Codes

Error Correcting

Structural Properties

Top Venues

Finite Fields Their Appl.

IEEE Trans. Inf. Theory

Publications

Peter Beelen, Maria Montanucci, Lara Vicino
Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus. Finite Fields Their Appl. 92 (2023)
Peter Beelen, Maria Montanucci
List-decoding of AG codes without genus penalty. CoRR (2023)
Peter Beelen, Vincent Neiger
Faster List Decoding of AG Codes. CoRR (2023)
Peter Beelen, Trygve Johnsen, Prasant Singh
Linear codes associated to symmetric determinantal varieties: Even rank case. Finite Fields Their Appl. 91 (2023)
Peter Beelen, Sven Puchinger, Johan Rosenkilde
Twisted Reed-Solomon Codes. IEEE Trans. Inf. Theory 68 (5) (2022)
Peter Beelen, Johan Rosenkilde, Grigory Solomatov
Fast Decoding of AG Codes. IEEE Trans. Inf. Theory 68 (11) (2022)
Peter Beelen, Johan Rosenkilde, Grigory Solomatov
Fast Decoding of AG Codes. CoRR (2022)
Peter Beelen, Trygve Johnsen, Prasant Singh
Linear Codes Associated to Symmetric Determinantal Varieties: Even Rank Case. CoRR (2021)
Peter Beelen, Sven Puchinger, Johan Rosenkilde
Twisted Reed-Solomon Codes. CoRR (2021)
Peter Beelen, Prasant Singh
Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes. Finite Fields Their Appl. 73 (2021)
Peter Beelen, Johan Rosenkilde, Grigory Solomatov
Curves. IEEE Trans. Inf. Theory 67 (3) (2021)
Peter Beelen, Leonardo Landi, Maria Montanucci
Weierstrass semigroups on the Skabelund maximal curve. Finite Fields Their Appl. 72 (2021)
Peter Beelen, Prasant Singh
Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes. CoRR (2020)
Peter Beelen, Sudhir R. Ghorpade
Hyperplane sections of determinantal varieties over finite fields and linear codes. Discret. Math. 343 (9) (2020)
Peter Beelen, Johan Rosenkilde, Grigory Solomatov
Curves. CoRR (2020)
Peter Beelen, Olav Geil, Edgar Martínez-Moro, Xin-Wen Wu
Foreword - Special Issue: Codes, Cryptology and Curves in honour of Ruud Pellikaan. Des. Codes Cryptogr. 88 (8) (2020)
Peter Beelen, Maria Montanucci
On subfields of the second generalization of the GK maximal function field. Finite Fields Their Appl. 64 (2020)
Peter Beelen, Prasant Singh
Linear codes associated to skew-symmetric determinantal varieties. Finite Fields Their Appl. 58 (2019)
Peter Beelen
A note on the generalized Hamming weights of Reed-Muller codes. Appl. Algebra Eng. Commun. Comput. 30 (3) (2019)
Peter Beelen, Maria Montanucci
Weierstrass semigroups on the Giulietti-Korchmáros curve. Finite Fields Their Appl. 52 (2018)
Peter Beelen, Lingfei Jin
Explicit MDS Codes With Complementary Duals. IEEE Trans. Inf. Theory 64 (11) (2018)
Peter Beelen, Mrinmoy Datta
Generalized Hamming weights of affine Cartesian codes. Finite Fields Their Appl. 51 (2018)
Peter Beelen, Maria Montanucci
A new family of maximal curves. J. Lond. Math. Soc. 98 (3) (2018)
Peter Beelen
A note on the generalized Hamming weights of Reed-Muller codes. CoRR (2018)
Elise Barelli, Peter Beelen, Mrinmoy Datta, Vincent Neiger, Johan Rosenkilde
Two-Point Codes for the Generalized GK Curve. IEEE Trans. Inf. Theory 64 (9) (2018)
Peter Beelen, Martin Bossert, Sven Puchinger, Johan Rosenkilde
Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography. CoRR (2018)
Peter Beelen, Martin Bossert, Sven Puchinger, Johan Rosenkilde
Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography. ISIT (2018)
Peter Beelen, Sudhir R. Ghorpade
Hyperplane Sections of Determinantal Varieties over Finite Fields and Linear Codes. CoRR (2018)
Peter Beelen, David G. Glynn, Tom Høholdt, Krishna V. Kaipa
Counting generalized Reed-Solomon codes. Adv. Math. Commun. 11 (4) (2017)
Peter Beelen, Mrinmoy Datta, Sudhir R. Ghorpade
Maximum Number of Common Zeros of Homogeneous Polynomials over Finite Fields. CoRR (2017)
Nurdagül Anbar, Alp Bassa, Peter Beelen
A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field. Finite Fields Their Appl. 48 (2017)
Peter Beelen, Lingfei Jin
Explicit MDS Codes with Complementary Duals. CoRR (2017)
Peter Beelen, Sven Puchinger, Johan Sebastian Rosenkilde
Twisted Reed-Solomon Codes. CoRR (2017)
Elise Barelli, Peter Beelen, Mrinmoy Datta, Vincent Neiger, Johan Rosenkilde
Two-Point Codes for the Generalized GK curve. CoRR (2017)
Peter Beelen, Sven Puchinger, Johan Sebastian Rosenkilde
Twisted reed-solomon codes. ISIT (2017)
Peter Beelen, David G. Glynn, Tom Høholdt, Krishna V. Kaipa
Counting generalized Reed-Solomon codes. CoRR (2016)
Peter Beelen, Fernando Piñero
The structure of dual Grassmann codes. Des. Codes Cryptogr. 79 (3) (2016)
Mohamed Ahmed Abdelraheem, Peter Beelen, Andrey Bogdanov, Elmar Tischhauser
Twisted Polynomials and Forgery Attacks on GCM. IACR Cryptol. ePrint Arch. 2015 (2015)
Johan Sebastian Rosenkilde Nielsen, Peter Beelen
Sub-Quadratic Decoding of One-Point Hermitian Codes. IEEE Trans. Inf. Theory 61 (6) (2015)
Mohamed Ahmed Abdelraheem, Peter Beelen, Andrey Bogdanov, Elmar Tischhauser
Twisted Polynomials and Forgery Attacks on GCM. EUROCRYPT (1) (2015)
Alp Bassa, Peter Beelen, Nhut Nguyen
Good families of Drinfeld modular curves. LMS J. Comput. Math. 18 (1) (2015)
Peter Beelen, Sudhir R. Ghorpade, Sartaj Ul Hasan
Linear codes associated to determinantal varieties. Discret. Math. 338 (8) (2015)
Peter Beelen, Sudhir R. Ghorpade, Sartaj Ul Hasan
Linear Codes associated to Determinantal Varieties. CoRR (2015)
Alp Bassa, Peter Beelen, Arnaldo Garcia, Henning Stichtenoth
An Improvement of the Gilbert-Varshamov Bound Over Nonprime Fields. IEEE Trans. Inf. Theory 60 (7) (2014)
Johan Sebastian Rosenkilde Nielsen, Peter Beelen
Sub-quadratic Decoding of One-point Hermitian Codes. CoRR (2014)
Peter Beelen, Tom Høholdt, Fernando Piñero, Jørn Justesen
On the dimension of graph codes with Reed-Solomon component codes. ISIT (2013)
Peter Beelen, Diego Ruano
Bounding the number of points on a curve using a generalization of Weierstrass semigroups. Des. Codes Cryptogr. 66 (1-3) (2013)
Peter Beelen, Tom Høholdt, Johan Sebastian Rosenkilde Nielsen, Yingquan Wu
On Rational Interpolation-Based List-Decoding and List-Decoding Binary Goppa Codes. IEEE Trans. Inf. Theory 59 (6) (2013)
Mohamed Ahmed Abdelraheem, Martin Ågren, Peter Beelen, Gregor Leander
On The Distribution of Linear Biases: Three Instructive Examples. IACR Cryptol. ePrint Arch. 2012 (2012)
Peter Beelen, Diego Ruano
Bounding the number of points on a curve using a generalization of Weierstrass semigroups CoRR (2012)
Peter Beelen, Gregor Leander
A new construction of highly nonlinear S-boxes. Cryptogr. Commun. 4 (1) (2012)
Mohamed Ahmed Abdelraheem, Martin Ågren, Peter Beelen, Gregor Leander
On the Distribution of Linear Biases: Three Instructive Examples. CRYPTO (2012)
Hassan Aref, Peter Beelen, Morten Brøns
Bilinear Relative Equilibria of Identical Point Vortices. J. Nonlinear Sci. 22 (5) (2012)
Peter Beelen, Sudhir R. Ghorpade, Tom Høholdt
Duals of Affine Grassmann Codes and Their Relatives. IEEE Trans. Inf. Theory 58 (6) (2012)
Peter Beelen, Tom Høholdt, Johan Sebastian Rosenkilde Nielsen, Yingquan Wu
On Rational-Interpolation Based List-Decoding and List-Decoding Binary Goppa Codes CoRR (2012)
Peter Beelen, Sudhir R. Ghorpade, Tom Høholdt
Duals of Affine Grassmann Codes and their Relatives CoRR (2011)
Peter Beelen, Sudhir R. Ghorpade, Tom Høholdt
Affine Grassmann codes. IEEE Trans. Inf. Theory 56 (7) (2010)
Peter Beelen, Kristian Brander
Efficient list decoding of a class of algebraic-geometry codes. Adv. Math. Commun. 4 (4) (2010)
Peter Beelen, Kristian Brander
Key equations for list decoding of Reed-Solomon codes and how to solve them. J. Symb. Comput. 45 (7) (2010)
Peter Beelen
A generalization of Baker's theorem. Finite Fields Their Appl. 15 (5) (2009)
Peter Beelen, Sudhir R. Ghorpade, Tom Høholdt
Affine Grassmann Codes CoRR (2009)
Peter Beelen, Diego Ruano
The Order Bound for Toric Codes. AAECC (2009)
Peter Beelen, Tom Høholdt
A Syndrome Formulation of the Interpolation Step in the Guruswami-Sudan Algorithm. ICMCTA (2008)
Peter Beelen
The order bound for general algebraic geometric codes. Finite Fields Their Appl. 13 (3) (2007)
Peter Beelen, Arnaldo Garcia, Henning Stichtenoth
Towards a classification of recursive towers of function fields over finite fields. Finite Fields Their Appl. 12 (1) (2006)
Peter Beelen, Ruud Pellikaan
The Newton Polygon of Plane Curves with Many Rational Points. Des. Codes Cryptogr. 21 (1/3) (2000)