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Search publications authored by the DTU-based staff of the Danish-Chinese Center

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2023
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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

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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

2022
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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

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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

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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

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On the constant D(q) defined by Homma

Beelen, Pieter Hendrik Turdus ; Montanucci, Maria ; Vicino, Lara
part of: Arithmetic, Geometry, Cryptography, and Coding Theory 2021, pages: 33-40, 2022
Presented at:
18th International Conference Arithmetic, Geometry, Cryptography and Coding Theory

Type: Book chapter (Peer reviewed)

Status: Published     |    Year: 2022

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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

2021
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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

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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

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Fast Encoding of AG Codes over CabCurves

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

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Improved Power Decoding of Algebraic Geometry Codes

Puchinger, Sven ; Rosenkilde, Johan ; Solomatov, Grigory
part of: Proceedings of 2021 IEEE International Symposium on Information Theory, pages: 509-514, 2021
Presented at:
2021 IEEE International Symposium on Information Theory

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2021     |    DOI: https://doi.org/10.1109/ISIT45174.2021.9517938

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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

 

Success probability of decoding interleaved alternant codes

Holzbaur, Lukas ; Liu, Hedongliang ; Neri, Alessandro ; Puchinger, Sven ; Rosenkilde, Johan ; Sidorenko, Vladimir ; Wachter-Zeh, Antonia
part of: Proceedings of 2020 IEEE Information Theory Workshop , 2021
Presented at:
2020 IEEE Information Theory Workshop

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2021     |    DOI: https://doi.org/10.1109/ITW46852.2021.9457607

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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

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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

2020
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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

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Fast Root Finding for Interpolation-Based Decoding of Interleaved Gabidulin Codes

Bartz, Hannes ; Jerkovits, Thomas ; Puchinger, Sven ; Rosenkilde, Johan Sebastian Heesemann
part of: Proceedings of IEEE Information Theory Workshop, 2020
Presented at:
2019 IEEE Information Theory Workshop

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2020     |    DOI: https://doi.org/10.1109/ITW44776.2019.8989290

 

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

 

Generic bivariate multi-point evaluation, interpolation and modular composition with precomputation

Neiger, Vincent ; Rosenkilde, Johan ; Solomatov, Grigory
part of: Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, pages: 388-395, 2020
Presented at:
45th International Symposium on Symbolic and Algebraic Computation

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2020     |    DOI: https://doi.org/10.1145/3373207.3404032

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Generic Decoding in the Sum-Rank Metric

Puchinger, Sven ; Renner, Julian ; Rosenkilde, Johan
part of: Proceedings of 2020 IEEE International Symposium on Information Theory, pages: 54-59, 2020
Presented at:
2020 IEEE International Symposium on Information Theory

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2020     |    DOI: https://doi.org/10.1109/ISIT44484.2020.9174497

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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

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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

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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

2019
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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

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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

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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

2018
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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

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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

 

Computing Popov and Hermite Forms of Rectangular Polynomial Matrices

Neiger, Vincent ; Rosenkilde, Johan Sebastian Heesemann ; Solomatov, Grigory Aleksandrovich
part of: Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation, pages: 295-302, 2019
Presented at:
2018 ACM International Symposium on Symbolic and Algebraic Computation

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2018     |    DOI: https://doi.org/10.1145/3208976.3208988

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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

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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

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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

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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

 

Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography

Beelen, Peter ; Bossert, Martin ; Puchinger, Sven ; Rosenkilde, Johan Sebastian Heesemann
part of: Proceedings of 2018 IEEE International Symposium on Information Theory, pages: 946-950, 2018
Presented at:
2018 IEEE International Symposium on Information Theory

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2018     |    DOI: https://doi.org/10.1109/ISIT.2018.8437923

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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

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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

2017
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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

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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

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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

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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

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Decoding of interleaved Reed-Solomon codes using improved power decoding

Puchinger, Sven ; Rosenkilde ne Nielsen, Johan
part of: Proceedings of 2017 IEEE International Symposium on Information Theory , pages: 356-60, 2017
Presented at:
2017 IEEE International Symposium on Information Theory

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2017     |    DOI: https://doi.org/10.1109/ISIT.2017.8006549

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Fast computation of the roots of polynomials over the ring of power series

Neiger, Vincent ; Rosenkilde, Johan ; Schost, Éric
part of: ISSAC 2017 - Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation, pages: 349-356, 2017
Presented at:
42nd ACM International Symposium on Symbolic and Algebraic Computation, ISSAC 2017

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2017     |    DOI: https://doi.org/10.1145/3087604.3087642

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Further Generalisations of Twisted Gabidulin Codes

Puchinger, Sven ; Rosenkilde, Johan Sebastian Heesemann ; Sheekey, John
part of: Proceedings of International Workshop on Coding and Cryptography 2017, 2017
Presented at:
Tenth International Workshop on Coding and Cryptography 2017

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2017

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Improved Power Decoding of One-Point Hermitian Codes

Puchinger, Sven ; Bouw, Irene ; Rosenkilde, Johan Sebastian Heesemann
part of: Proceedings of International Workshop on Coding and Cryptography 2017, 2017
Presented at:
Tenth International Workshop on Coding and Cryptography 2017

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2017

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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

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Popov form computation for matrices of Ore polynomials

Khochtali, Mohamed ; Né Nielsen, Johan Rosenkilde ; Storjohann, Arne
part of: ISSAC 2017 - Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation, pages: 253-260, 2017
Presented at:
42nd ACM International Symposium on Symbolic and Algebraic Computation, ISSAC 2017

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2017     |    DOI: https://doi.org/10.1145/3087604.3087650

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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

 

The Exact Limit of Some Cubic Towers

Anbar Meidl, Nurdagül ; Beelen, Peter ; Nguyen, Nhut
part of: Proceedings of the International Conference on Arithmetic, Geometry, Cryptography and Coding theory (2015), 2016
Presented at:
15th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory

Type: Article in proceedings (Peer reviewed)

Status: Published     |    Year: 2017