Publication list

Classification of all Galois subcovers of the Skabelund maximal curves

Beelen, Peter ; Landi, Leonardo ; Montanucci, Maria
in: Journal of Number Theory, vol: 242, pages: 46-72

Type: Journal article (Peer reviewed)

Status: Published | Year: 2023 | DOI: https://doi.org/10.1016/j.jnt.2022.07.008

Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus

Beelen, Peter ; Montanucci, Maria ; Vicino, Lara
in: Finite Fields and Their Applications, vol: 92

Type: Journal article (Peer reviewed)

Status: Published | Year: 2023 | DOI: https://doi.org/10.1016/j.ffa.2023.102300

A combinatorial approach to the number of solutions of systems of homogeneous polynomial equations over finite fields

Beelen, Peter ; Datta, Mrinmoy ; Ghorpade, Sudhir R.
in: Moscow Mathematical Journal, vol: 22, issue: 4, pages: 565-593

Type: Journal article (Peer reviewed)

Status: Published | Year: 2022 | DOI: https://doi.org/10.17323/1609-4514-2022-22-4-565-593

Fast Decoding of AG Codes

Beelen, Peter ; Rosenkilde, Johan ; Solomatov, Grigory
in: IEEE Transactions on Information Theory, vol: 68, issue: 11, pages: 7215-7232

Type: Journal article (Peer reviewed)

Status: Published | Year: 2022 | DOI: https://doi.org/10.1109/TIT.2022.3188843

Generic Decoding in the Sum-Rank Metric

Puchinger, Sven ; Renner, Julian ; Rosenkilde, Johan
in: IEEE Transactions on Information Theory, vol: 68, issue: 8, pages: 5075 - 5097

Type: Journal article (Peer reviewed)

Status: Published | Year: 2022 | DOI: https://doi.org/10.1109/TIT.2022.3167629

Twisted Reed–Solomon Codes

Beelen, Peter ; Puchinger, Sven ; Rosenkilde, Johan
in: IEEE Transactions on Information Theory, vol: 68, issue: 5, pages: 3047 - 3061

Type: Journal article (Peer reviewed)

Status: Published | Year: 2022 | DOI: https://doi.org/10.1109/TIT.2022.3146254

A proof of sørensen’s conjecture on hermitian surfaces

Beelen, Peter ; Datta, Mrinmoy ; Homma, Masaaki
in: Proceedings of the American Mathematical Society, vol: 149, issue: 4, pages: 1431-1441

Type: Journal article (Peer reviewed)

Status: Published | Year: 2021 | DOI: https://doi.org/10.1090/proc/15331

Fast Decoding of Codes in the Rank, Subspace, and Sum-Rank Metric

Bartz, Hannes ; Jerkovits, Thomas ; Puchinger, Sven ; Rosenkilde, Johan
in: IEEE Transactions on Information Theory, vol: 67, issue: 8, pages: 5026-5050

Type: Journal article (Peer reviewed)

Status: Published | Year: 2021 | DOI: https://doi.org/10.1109/TIT.2021.3067318

Fast Encoding of AG Codes over C_abCurves

Beelen, Peter ; Rosenkilde, Johan ; Solomatov, Grigory
in: IEEE Transactions on Information Theory, vol: 67, issue: 3, pages: 1641-1655

Type: Journal article (Peer reviewed)

Status: Published | Year: 2021 | DOI: https://doi.org/10.1109/TIT.2020.3042248

Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes

Beelen, Peter ; Singh, Prasant
in: Finite Fields and Their Applications, vol: 73

Type: Journal article (Peer reviewed)

Status: Published | Year: 2021 | DOI: https://doi.org/10.1016/j.ffa.2021.101843

Verification protocols with sub-linear communication for polynomial matrix operations

Lucas, David ; Neiger, Vincent ; Pernet, Clément ; Roche, Daniel S. ; Rosenkilde, Johan Sebastian Heesemann
in: Journal of Symbolic Computation, vol: 105, pages: 165-198

Type: Journal article (Peer reviewed)

Status: Published | Year: 2021 | DOI: https://doi.org/10.1016/j.jsc.2020.06.006

Weierstrass semigroups on the Skabelund maximal curve

Beelen, Peter ; Landi, Leonardo ; Montanucci, Maria
in: Finite Fields and Their Applications, vol: 72

Type: Journal article (Peer reviewed)

Status: Published | Year: 2021 | DOI: https://doi.org/10.1016/j.ffa.2021.101811

Algorithms for simultaneous Hermite–Padé approximations

Rosenkilde, Johan ; Storjohann, Arne
in: Journal of Symbolic Computation, vol: 102, pages: 279-303

Type: Journal article (Peer reviewed)

Status: Published | Year: 2020 | DOI: https://doi.org/10.1016/j.jsc.2019.07.026

Foreword—Special Issue: Codes, Cryptology and Curves in honour of Ruud Pellikaan

Beelen, Peter ; Geil, Olav ; Martínez-Moro, Edgar ; Wu, Xin Wen
in: Designs, Codes, and Cryptography, vol: 88, issue: 8, pages: 1477-1478

Type: Editorial (Peer reviewed)

Status: Published | Year: 2020 | DOI: https://doi.org/10.1007/s10623-020-00780-5

Hyperplane sections of determinantal varieties over finite fields and linear codes

Beelen, Peter ; Ghorpade, Sudhir R.
in: Discrete Mathematics, vol: 343, issue: 9

Type: Journal article (Peer reviewed)

Status: Published | Year: 2020 | DOI: https://doi.org/10.1016/j.disc.2020.111965

Maximum number of points on intersection of a cubic surface and a non-degenerate Hermitian surface

Beelen, Peter ; Datta, Mrinmoy
in: Moscow Mathematical Journal, vol: 20, issue: 3, pages: 453-474

Type: Journal article (Peer reviewed)

Status: Published | Year: 2020 | DOI: https://doi.org/10.17323/1609-4514-2020-20-3-453-474

On subfields of the second generalization of the GK maximal function field

Beelen, Peter ; Montanucci, Maria
in: Finite Fields and Their Applications, vol: 64

Type: Journal article (Peer reviewed)

Status: Published | Year: 2020 | DOI: https://doi.org/http://arxiv.org/abs/1811.00049

Improved power decoding of interleaved one-point Hermitian codes

Puchinger, Sven ; Rosenkilde, Johan ; Bouw, Irene
in: Designs, Codes, and Cryptography, vol: 87, issue: 2-3, pages: 589-607

Type: Journal article (Peer reviewed)

Status: Published | Year: 2019 | DOI: https://doi.org/10.1007/s10623-018-0577-z

Linear codes associated to skew-symmetric determinantal varieties

Beelen, Peter ; Singh, Prasant
in: Finite Fields and Their Applications, vol: 58, pages: 32-45

Type: Journal article (Peer reviewed)

Status: Published | Year: 2019 | DOI: https://doi.org/10.1016/j.ffa.2019.03.004

Vanishing Ideals of Projective Spaces over Finite Fields and a Projective Footprint Bound

Beelen, Peter ; Datta, Mrinmoy ; Ghorpade, Sudhir R.
in: Acta Mathematica Sinica, English Series, vol: 35, issue: 1, pages: 47-63

Type: Journal article (Peer reviewed)

Status: Published | Year: 2019 | DOI: https://doi.org/10.1007/s10114-018-8024-7

A new family of maximal curves

Beelen, Peter ; Montanucci, Maria
in: Journal of the London Mathematical Society, vol: 98, issue: 2, pages: 573-592

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.1112/jlms.12144

A note on the generalized Hamming weights of Reed–Muller codes

Beelen, Peter
in: Applicable Algebra in Engineering, Communications and Computing, vol: 30, issue: 3, pages: 233-242

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.1007/s00200-018-0369-8

Explicit MDS Codes with Complementary Duals

Beelen, Peter ; Jin, Lingfei
in: IEEE Transactions on Information Theory, vol: 64, issue: 11, pages: 7188-7193

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.1109/TIT.2018.2816934

Generalized Hamming weights of affine Cartesian codes

Beelen, Peter ; Datta, Mrinmoy
in: Finite Fields and Their Applications, vol: 51, pages: 130-145

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.1016/j.ffa.2018.01.006

On the deuring polynomial for drinfeld modules in legendre form

Bassa, Alp ; Beelen, Peter
in: Acta Arithmetica, vol: 186, issue: 2, pages: 179-190

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.4064/aa170707-17-2

Power decoding Reed-Solomon codes up to the Johnson radius

Rosenkilde, Johan Sebastian Heesemann
in: Advances in Mathematics of Communications, vol: 12, issue: 1, pages: 81-106

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.3934/amc.2018005

Two-Point Codes for the Generalised GK curve

Barelli, Élise ; Beelen, Peter ; Datta, Mrinmoy ; Neiger, Vincent ; Rosenkilde, Johan Sebastian Heesemann
in: I E E E Transactions on Information Theory, vol: 64, issue: 9, pages: 6268-6276

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.1109/TIT.2017.2763165

Weierstrass semigroups on the Giulietti–Korchmáros curve

Beelen, Peter ; Montanucci, Maria
in: Finite Fields and Their Applications, vol: 52, pages: 10-29

Type: Journal article (Peer reviewed)

Status: Published | Year: 2018 | DOI: https://doi.org/10.1016/j.ffa.2018.03.002

A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field

Anbar, Nurdagül ; Bassa, Alp ; Beelen, Peter
in: Finite Fields and Their Applications, vol: 48, pages: 318-330

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.1016/j.ffa.2017.08.006

A modular interpretation of various cubic towers

Anbar Meidl, Nurdagül ; Bassa, Alp ; Beelen, Peter
in: Journal of Number Theory, vol: 171, pages: 341-357

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.1016/j.jnt.2016.07.025

A new tower with good p-rank meeting Zink’s bound

Anbar Meidl, Nurdagül ; Beelen, Peter ; Nguyen, Nhut
in: Acta Arithmetica, vol: 177, issue: 4, pages: 347-374

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.4064/aa8388-6-2016

A Note on a Tower by Bassa, Garcia and Stichtenoth

Anbar Meidl, Nurdagül ; Beelen, Peter
in: Functiones et Approximatio Commentarii Mathematici, vol: 57, issue: 1, pages: 47-60

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.7169/facm/1615

Counting generalized Reed-Solomon codes

Beelen, Peter ; Glynn, David ; Høholdt, Tom ; Kaipa, Krishna
in: Advances in Mathematics of Communication, vol: 11, issue: 4, pages: 777--790

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.3934/amc.2017057

Decoding Interleaved Gabidulin Codes using Alekhnovich's Algorithm

Puchinger, Sven ; Müelich, Sven ; Mödinger, David ; Rosenkilde, Johan Sebastian Heesemann ; Bossert, Martin
in: Electronic Notes in Discrete Mathematics, vol: 57, pages: 175–180

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.1016/j.endm.2017.02.029

Maximum number of common zeros of homogeneous polynomials over finite fields

Beelen, Peter ; Datta, Mrinmoy ; Ghorpade, Sudhir Ramakant
in: Proceedings of the American Mathematical Society, vol: 146, issue: 4, pages: 1451-1468

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.1090/proc/13863

Row Reduction Applied to Decoding of Rank Metric and Subspace Codes

Puchinger, Sven ; Nielsen, Johan Sebastian Rosenkilde ; Li, Wenhui ; Sidorenko, Vladimir
in: Designs, Codes and Cryptography, vol: 82, issue: 1, pages: 389–409

Type: Journal article (Peer reviewed)

Status: Published | Year: 2017 | DOI: https://doi.org/10.1007/s10623-016-0257-9

On the Number of Rational Points on Prym Varieties over Finite Fields

Aubry, Yves ; Haloui, Safia
in: Glasgow Mathematical Journal, vol: 58, issue: 1, pages: 55-68

Type: Journal article (Peer reviewed)

Status: Published | Year: 2016 | DOI: https://doi.org/10.1017/S0017089515000063

The structure of dual Grassmann codes

Beelen, Peter ; Pinero, Fernando
in: Designs, Codes and Cryptography, vol: 79, issue: 3, pages: 451-470

Type: Journal article (Peer reviewed)

Status: Published | Year: 2016 | DOI: https://doi.org/10.1007/s10623-015-0085-3

Good families of Drinfeld modular curves

Bassa, Alp ; Beelen, Peter ; Nguyen, Nhut
in: LMS Journal of Computation and Mathematics, vol: 18, issue: 1, pages: 699-712

Type: Journal article (Peer reviewed)

Status: Published | Year: 2015 | DOI: https://doi.org/10.1112/S146115701500025X

Linear codes associated to determinantal varieties

Beelen, Peter ; Ghorpade, Sudhir R. ; Hasan, Sartaj Ul
in: Discrete Mathematics, vol: 338, issue: 8, pages: 1493-1500

Type: Journal article (Peer reviewed)

Status: Published | Year: 2015 | DOI: https://doi.org/10.1016/j.disc.2015.03.009

Sub-quadratic decoding of one-point hermitian codes

Nielsen, Johan Sebastian Rosenkilde ; Beelen, Peter
in: IEEE Transactions on Information Theory, vol: 61, issue: 6, pages: 3225-3240

Type: Journal article (Peer reviewed)

Status: Published | Year: 2015 | DOI: https://doi.org/10.1109/TIT.2015.2424415

Towers of Function Fields over Non-prime Finite Fields

Bassa, Alp ; Beelen, Peter ; Garcia, Arnaldo ; Stichtenoth, Henning
in: Moscow Mathematical Journal, vol: 15, issue: 1, pages: 1-29

Type: Journal article (Peer reviewed)

Status: Published | Year: 2015

An Improvement of the Gilbert–Varshamov Bound Over Nonprime Fields

Bassa, Alp ; Beelen, Peter ; Garcia, Arnaldo ; Stichtenoth, Henning
in: IEEE Transactions on Information Theory, vol: 60, issue: 7, pages: 3859-3861

Type: Journal article (Peer reviewed)

Status: Published | Year: 2014 | DOI: https://doi.org/10.1109/TIT.2014.2316531

Galois towers over non-prime finite fields

Bassa, Alp ; Beelen, Peter ; Garcia, Arnaldo ; Stichtenoth, Henning
in: Acta Arithmetica, vol: 164, issue: 2, pages: 163-179

Type: Journal article (Peer reviewed)

Status: Published | Year: 2014 | DOI: https://doi.org/10.4064/aa164-2-6

Multi-Trial Guruswami–Sudan Decoding for Generalised Reed–Solomon Codes

Nielsen, Johan Sebastian Rosenkilde ; Zeh, Alexander
in: Designs, Codes and Cryptography, vol: 73, issue: 2, pages: 507-527

Type: Journal article (Peer reviewed)

Status: Published | Year: 2014 | DOI: https://doi.org/10.1007/s10623-014-9951-7

On the sizes of expander graphs and minimum distances of graph codes

Høholdt, Tom ; Justesen, Jørn
in: Discrete Mathematics, vol: 325, pages: 38-46

Type: Journal article (Peer reviewed)

Status: Published | Year: 2014 | DOI: https://doi.org/10.1016/j.disc.2014.02.005

On the subfield subcodes of Hermitian codes

Pinero, Fernando ; Janwa, Heeralal
in: Designs, Codes and Cryptography, vol: 70, issue: 1-2, pages: 157-173

Type: Journal article (Peer reviewed)

Status: Published | Year: 2014 | DOI: https://doi.org/10.1007/s10623-012-9736-9

Optimal codes as Tanner codes with cyclic component codes

Høholdt, Tom ; Pinero, Fernando ; Zeng, Peng
in: Designs, Codes and Cryptography, vol: 76, issue: 1, pages: 37-47

Type: Journal article (Peer reviewed)

Status: Published | Year: 2014 | DOI: https://doi.org/10.1007/s10623-014-9962-4

A new construction of bent functions based on Z-bent functions

Gangopadhyay, Sugata ; Joshi, Anand ; Leander, Gregor ; Sharma, Rajendra Kumar
in: Designs, Codes and Cryptography, vol: 66, issue: 1-3, pages: 243-256

Type: Journal article (Peer reviewed)

Status: Published | Year: 2013 | DOI: https://doi.org/10.1007/s10623-012-9687-1

Bounding the number of points on a curve using a generalization of Weierstrass semigroups

Beelen, Peter ; Ruano, Diego
in: Designs, Codes and Cryptography, vol: 66, issue: 1-3, pages: 221-230

Type: Journal article (Peer reviewed)

Status: Published | Year: 2013 | DOI: https://doi.org/10.1007/s10623-012-9685-3

On Rational Interpolation-Based List-Decoding and List-Decoding Binary Goppa Codes

Beelen, Peter ; Høholdt, Tom ; Nielsen, Johan Sebastian Rosenkilde ; Wu, Yingquan
in: I E E E Transactions on Information Theory, vol: 59, issue: 6, pages: 3269-3281

Type: Journal article (Peer reviewed)

Status: Published | Year: 2013 | DOI: https://doi.org/10.1109/TIT.2013.2243800

On the number of points on abelian and Jacobian varieties over finite fields

Aubry, Yves ; Haloui, Safia ; Lachaud, Gilles
in: Acta Arithmetica, vol: 160, issue: 3, pages: 201-241

Type: Journal article (Peer reviewed)

Status: Published | Year: 2013 | DOI: https://doi.org/10.4064/aa160-3-1

Recent progress in the relative equilibria of point vortices — In memoriam Hassan Aref

Beelen, Peter ; Brøns, Morten ; Krishnamurthy, Vikas S. ; Stremler, Mark A.
in: I U T A M. Procedia, vol: 7, pages: 3-12
Presented at: Topological Fluid Dynamics II (IUTAM Symposium)

Type: Conference article (Peer reviewed)

Status: Published | Year: 2013 | DOI: https://doi.org/10.1016/j.piutam.2013.03.002

Slender-Set Differential Cryptanalysis

Borghoff, Julia ; Knudsen, Lars Ramkilde ; Leander, Gregor ; Thomsen, Søren Steffen
in: Journal of Cryptology, vol: 26, issue: 1, pages: 11-38

Type: Journal article (Peer reviewed)

Status: Published | Year: 2013 | DOI: https://doi.org/10.1007/s00145-011-9111-4

SPONGENT: The Design Space of Lightweight Cryptographic Hashing

Bogdanov, Andrey ; Knezevic, Miroslav ; Leander, Gregor ; Toz, Deniz ; Varici, Kerem ; Verbauwhede, Ingrid
in: I E E E Transactions on Computers, vol: 62, issue: 10, pages: 2041-2053

Type: Journal article (Peer reviewed)

Status: Published | Year: 2013 | DOI: https://doi.org/10.1109/TC.2012.196

A closed form expression for the Drinfeld modular polynomial Φ_T (X, Y )

Bassa, Alp ; Beelen, Peter
in: Archiv der Mathematik, vol: 99, issue: 3, pages: 237-245

Type: Journal article (Peer reviewed)

Status: Published | Year: 2012 | DOI: https://doi.org/10.1007/s00013-012-0423-x

A new construction of highly nonlinear S-boxes

Beelen, Peter ; Leander, Gregor
in: Cryptography and Communications, vol: 4, issue: 1, pages: 65-77

Type: Journal article (Peer reviewed)

Status: Published | Year: 2012 | DOI: https://doi.org/10.1007/s12095-011-0052-4

Bilinear Relative Equilibria of Identical Point Vortices

Aref, H. ; Beelen, Peter ; Brøns, Morten
in: Journal of Nonlinear Science, vol: 22, issue: 5, pages: 849-885

Type: Journal article (Peer reviewed)

Status: Published | Year: 2012 | DOI: https://doi.org/10.1007/s00332-012-9129-2

Duals of Affine Grassmann Codes and Their Relatives

Beelen, P. ; Ghorpade, S. R. ; Hoholdt, T.
in: I E E E Transactions on Information Theory, vol: 58, issue: 6, pages: 3843-3855

Type: Journal article (Peer reviewed)

Status: Published | Year: 2012 | DOI: https://doi.org/10.1109/TIT.2012.2187171

Eigenvalues and expansion of bipartite graphs

Høholdt, Tom ; Janwa, Heeralal
in: Designs, Codes and Cryptography, vol: 65, issue: 3, pages: 259-273

Type: Journal article (Peer reviewed)

Status: Published | Year: 2012

List Decoding of Matrix-Product Codes from nested codes: an application to Quasi-Cyclic codes

Hernando, Fernando ; Høholdt, Tom ; Ruano , Diego
in: Advances in Mathematics of Communication, vol: 6, issue: 3, pages: 259-272

Type: Journal article (Peer reviewed)

Status: Published | Year: 2012 | DOI: https://doi.org/10.3934/amc.2012.6.259

Sur le nombre de points rationnels des variétés abéliennes et des Jacobiennes sur les corps finis

Aubry, Yves ; Haloui, Safia ; Lachaud, Gilles
in: Comptes Rendus Mathématique, vol: 350, issue: 19-20, pages: 907-910

Type: Journal article (Peer reviewed)

Status: Published | Year: 2012 | DOI: https://doi.org/10.1016/j.crma.2012.10.001

A proof of a conjecture by Schweizer on the Drinfeld modular polynomial ΦT (X, Y )

Bassa, Alp ; Beelen, Peter
in: Journal of Number Theory, vol: 131, pages: 1276-1285

Type: Journal article (Peer reviewed)

Status: Published | Year: 2011 | DOI: https://doi.org/10.1016/j.jnt.2011.01.007

Bounds on the degree of APN polynomials: the case of x −1 + g(x)

Leander, Gregor ; Rodier, François
in: Designs, Codes and Cryptography, vol: 59, issue: 1-3, pages: 207-222

Type: Journal article (Peer reviewed)

Status: Published | Year: 2011 | DOI: https://doi.org/10.1007/s10623-010-9456-y

Counting all bent functions in dimension eight 99270589265934370305785861242880

Langevin, Philippe ; Leander, Gregor
in: Designs, Codes and Cryptography, vol: 59, issue: 1-3, pages: 193-205

Type: Journal article (Peer reviewed)

Status: Published | Year: 2011 | DOI: https://doi.org/10.1007/s10623-010-9455-z

Cryptanalysis of PRESENT-like ciphers with secret S-boxes

Borghoff, Julia ; Knudsen, Lars Ramkilde ; Leander, Gregor ; Thomsen, Søren Steffen
in: Lecture Notes in Computer Science, vol: 6733, pages: 270-289
Presented at: 18th International Workshop on Fast Software Encryption

Type: Conference article (Peer reviewed)

Status: Published | Year: 2011 | DOI: https://doi.org/10.1007/978-3-642-21702-9_16

Switchings, extensions, and reductions in central digraphs

Kündgen, André ; Leander, Gregor ; Thomassen, Carsten
in: Journal of Combinatorial Theory, Series A, vol: 118, issue: 7, pages: 2025-2034

Type: Journal article (Peer reviewed)

Status: Published | Year: 2011 | DOI: https://doi.org/10.1016/j.jcta.2011.03.009

The Galois closure of Drinfeld modular towers

Bassa, Alp ; Beelen, Peter
in: Journal of Number Theory, vol: 131, issue: 3, pages: 561-577

Type: Journal article (Peer reviewed)

Status: Published | Year: 2011 | DOI: https://doi.org/10.1016/j.jnt.2010.10.006

The Minimum Distance of Graph Codes

Høholdt, Tom ; Justesen, Jørn
in: Lecture Notes in Computer Science, vol: 6639, pages: 201-212
Presented at: 3rd International Workshop on Coding and Cryptology

Type: Conference article (Peer reviewed)

Status: Published | Year: 2011 | DOI: https://doi.org/10.1007/978-3-642-20901-7_12

Affine Grassmann codes

Høholdt, Tom ; Beelen, Peter ; Ghorpade, Sudhir Ramakant
in: I E E E Transactions on Information Theory, vol: 56, issue: 7, pages: 3166-3176

Type: Journal article (Peer reviewed)

Status: Published | Year: 2010 | DOI: https://doi.org/10.1109/TIT.2010.2048470

A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree

Leander, Gregor ; Bracken, Carl
in: Finite Fields and Their Applications, vol: 16, issue: 4, pages: 231-242

Type: Journal article (Peer reviewed)

Status: Published | Year: 2010 | DOI: https://doi.org/10.1016/j.ffa.2010.03.001

Efficient list decoding of a class of algebraic-geometry codes

Beelen, Peter ; Brander, Kristian
in: Advances in Mathematics of Communication, vol: 4, issue: 4, pages: 485-518

Type: Journal article (Peer reviewed)

Status: Published | Year: 2010

Key-equations for list decoding of Reed-Solomon codes and how to solve them

Beelen, Peter ; Brander, Kristian
in: Journal of Symbolic Computation, vol: 45, issue: 7, pages: 773-786

Type: Journal article (Peer reviewed)

Status: Published | Year: 2010 | DOI: https://doi.org/10.1016/j.jsc.2010.03.010

The Hassa-Witt invariant in some towers of function fields over finite fields

Beelen, Peter ; Bassa, Alp
in: Bulletin of the Brazilian Mathematical Society, New Series, vol: 41, issue: 4, pages: 567-582

Type: Journal article (Peer reviewed)

Status: Published | Year: 2010

A generalization of Baker's theorem

Beelen, Peter
in: Finite Fields and Their Applications, vol: 15, issue: 5, pages: 558-568

Type: Journal article (Peer reviewed)

Status: Published | Year: 2009 | DOI: https://doi.org/10.1016/j.ffa.2009.04.003

Constructing new APN functions from known ones

Budaghyan, L. ; Carlet, C. ; Leander, Gregor
in: Finite Fields and Their Applications, vol: 15, issue: 2, pages: 150-159

Type: Journal article (Peer reviewed)

Status: Published | Year: 2009 | DOI: https://doi.org/10.1016/j.ffa.2008.10.001

Construction of bent functions from near-bent functions

Leander, Gregor ; McGuire, G.
in: Journal of Combinatorial Theory, Series A, vol: 116, issue: 4, pages: 960-970

Type: Journal article (Peer reviewed)

Status: Published | Year: 2009 | DOI: https://doi.org/10.1016/j.jcta.2008.12.004

Monomial Bent Functions and Stickelberger's Theorem

Langevin, Philippe ; Leander, Gregor
in: Finite Fields and Their Applications, vol: 14, issue: 3, pages: 727-742

Type: Journal article (Peer reviewed)

Status: Published | Year: 2008

On Codes, Matroids, and Secure Multi-party Computation From Linear Secret Sharing Schemes

Cramer, Ronald ; Daza, Vanesa ; Gracia, Ignacio ; Jiménez Urroz, Jorge ; Leander, Gregor ; Martí-Farré, Jaume ; Padró, Carles
in: I E E E Transactions on Information Theory, vol: 54, issue: 6, pages: 2644-2657

Type: Journal article (Peer reviewed)

Status: Published | Year: 2008

Two Classes of Quadratic APN Binomials Inequivalent to Power Functions

Budaghyan, Lilya ; Carlet, Claude ; Leander, Gregor
in: I E E E Transactions on Information Theory, vol: 54, issue: 9, pages: 4218-4229

Type: Journal article (Peer reviewed)

Status: Published | Year: 2008

A Counter-Example to a Conjecture of Niho

Langevin, Philippe ; Leander, Gregor ; McGuire, Gary
in: I E E E Transactions on Information Theory, vol: 53, issue: 12, pages: 4785-4786

Type: Journal article (Peer reviewed)

Status: Published | Year: 2007 | DOI: https://doi.org/10.1109/TIT.2007.909109

Iterative List Decoding of Some LDPC Codes

Justesen, Jørn ; Høholdt, Tom ; Hjaltason, Johann
in: IEEE Transactions on Information Theory, vol: 53, issue: 11, pages: 4276-4284

Type: Journal article (Peer reviewed)

Status: Published | Year: 2007 | DOI: https://doi.org/10.1109/TIT.2007.907485

The order-bound for general algebraic geometric codes

Beelen, Peter
in: Finite Fields and Their Applications, vol: 13, pages: 665-680

Type: Journal article (Peer reviewed)

Status: Published | Year: 2007 | DOI: https://doi.org/10.1016/j.ffa.2006.09.006

A generalization of the Weierstrass semigroup

Beelen, Peter ; Tutas, Nesrin
in: Journal of Pure and Applied Algebra, vol: 207, pages: 243-260

Type: Journal article (Peer reviewed)

Status: Published | Year: 2006

Bent Functions With 2^r Niho Exponents

Kholosha, Aleksander ; Leander, Gregor
in: I E E E Transactions on Information Theory, vol: 52, issue: 12, pages: 5529-5532

Type: Journal article (Peer reviewed)

Status: Published | Year: 2006

Construction of Bent Functions via Niho Power Functions

Dobbertin, Hans ; Leander, Gregor ; Canteaut, Anne ; Carlet, Claude ; Felke, Patrick ; Gaborit, Philippe
in: Journal of Combinatorial Theory, Series A, vol: 113, issue: 5, pages: 779-798

Type: Journal article (Peer reviewed)

Status: Published | Year: 2006

Monomial Bent Functions

Leander, Gregor
in: I E E E Transactions on Information Theory, vol: 52, issue: 2, pages: 738-743

Type: Journal article (Peer reviewed)

Status: Published | Year: 2006

Towards a classification of recursive towers of function fields over finite fields

Beelen, Peter ; Garcia, Arnaldo ; Stichtenoth, Henning
in: Finite Fields and Their Applications, vol: 12, pages: 56-77

Type: Journal article (Peer reviewed)

Status: Published | Year: 2006

Asymptotically good towers and differential equations

Beelen, Peter ; Bouw, Irene
in: Compositio Mathematica, vol: 141, issue: 6, pages: 1405-1424

Type: Journal article (Peer reviewed)

Status: Published | Year: 2005 | DOI: https://doi.org/10.1112/S0010437X05001624

Normal Extensions of Bent Functions

Carlet, Claude ; Dobbertin, Hans ; Leander, Gregor
in: I E E E Transactions on Information Theory, vol: 50, issue: 11, pages: 2880-2885

Type: Journal article (Peer reviewed)

Status: Published | Year: 2004

Fejlrettende Koder

Høholdt, Tom
in: Matilde, vol: 12, pages: 4

Type: Journal article

Status: Published | Year: 2002

Nevanlinna Prisen 2002

Høholdt, Tom
in: Matilde, vol: 14, pages: 13

Type: Journal article

Status: Published | Year: 2002

Footprints or generalized Bezout's

Geil, O. ; Høholdt, Tom
in: I E E E Transactions on Information Theory, vol: 46, issue: 2, pages: 635-641

Type: Journal article (Peer reviewed)

Status: Published | Year: 2000

Footprints or Generalized Bezout"s Theorem

Høholdt, Tom ; Geil, Olav
in: I E E E Transactions on Information Theory, vol: 46, issue: 2

Type: Journal article (Peer reviewed)

Status: Published | Year: 2000

Performance analysis of a decoding algorithm for algebraic-geometry codes

Høholdt, Tom ; Jensen, Helge Elbrønd ; Nielsen, Rasmus Refslund
in: I E E E Transactions on Information Theory, vol: 45, issue: 5, pages: 1712-1717
Presented at: IEEE-ISIT 1998

Type: Journal article (Peer reviewed)

Status: Published | Year: 1999 | DOI: https://doi.org/10.1109/18.771253

Algebraic-Geometry Codes

Høholdt, Tom ; Blake, Ian ; Heegaard, Chris ; Wei, Victor
in: I E E E Transactions on Information Theory, vol: 44, issue: 6, pages: 2596-2618

Type: Journal article (Peer reviewed)

Status: Published | Year: 1998

Fast Erasure-and error decoding of algebraic geometry codes up to the Feng-Rao bound

Høholdt, Tom ; Jensen, Helge Elbrønd ; Sakata, Shojiro ; Leonard, Doug
in: I E E E Transactions on Information Theory, vol: 44, issue: 4, pages: 1558-1564
Presented at: 1997 IEEE International Symposium on Information Theory

Type: Conference article (Peer reviewed)

Status: Published | Year: 1998 | DOI: https://doi.org/10.1109/18.681332

An Explicit Construction of a sequence of codes attaining the Tsfasman-Vladut-Zink Bound:The first steps

Høholdt, Tom ; Voss, Cornelia
in: I E E E Transactions on Information Theory, vol: 43, issue: 1, pages: 128-135
Presented at: AGCT-6

Type: Journal article (Peer reviewed)

Status: Published | Year: 1997 | DOI: https://doi.org/10.1109/18.567659

Fast decoding of codes from algebraic plane curves

Justesen, Jørn ; Larsen, Knud J. ; Jensen, Helge Elbrønd ; Høholdt, Tom
in: I E E E Transactions on Information Theory, vol: 38, issue: 1, pages: 111-119

Type: Journal article (Peer reviewed)

Status: Published | Year: 1992 | DOI: https://doi.org/10.1109/18.108255

Construction and decoding of a class of algebraic geometry codes

Justesen, Jørn ; Larsen, Knud J. ; Jensen, Helge Elbrønd ; Havemose, Allan ; Høholdt, Tom
in: I E E E Transactions on Information Theory, vol: 35, issue: 4, pages: 811-821

Type: Journal article (Peer reviewed)

Status: Published | Year: 1989 | DOI: https://doi.org/10.1109/18.32157

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