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Author ID: castryck.wouter Recent zbMATH articles by "Castryck, Wouter"
Published as: Castryck, Wouter; Castryck, W.
External Links: MGP
Documents Indexed: 51 Publications since 2006
Co-Authors: 60 Co-Authors with 48 Joint Publications
1,119 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 366 times in 260 Documents Cited by Year
CSIDH: an efficient post-quantum commutative group action. Zbl 1407.81084
Castryck, Wouter; Lange, Tanja; Martindale, Chloe; Panny, Lorenz; Renes, Joost
87
2018
New equidistribution estimates of Zhang type. Zbl 1307.11097
Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng
28
2014
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
24
2006
Moving out the edges of a lattice polygon. Zbl 1237.52002
Castryck, Wouter
22
2012
CSIDH on the surface. Zbl 1501.94035
Castryck, Wouter; Decru, Thomas
22
2020
On nondegeneracy of curves. Zbl 1177.14089
Castryck, Wouter; Voight, John
17
2009
Provably weak instances of ring-LWE revisited. Zbl 1347.94025
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
12
2016
Linear pencils encoded in the Newton polygon. Zbl 1405.14121
Castryck, Wouter; Cools, Filip
12
2017
Newton polygons and curve gonalities. Zbl 1376.14031
Castryck, Wouter; Cools, Filip
11
2012
Rational isogenies from irrational endomorphisms. Zbl 1492.94075
Castryck, Wouter; Panny, Lorenz; Vercauteren, Frederik
9
2020
The distribution of the number of points modulo an integer on elliptic curves over finite fields. Zbl 1264.14044
Castryck, Wouter; Hubrechts, Hendrik
9
2013
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
8
2016
Breaking the decisional Diffie-Hellman problem for class group actions using genus theory. Zbl 1504.94115
Castryck, Wouter; Sotáková, Jana; Vercauteren, Frederik
8
2020
The probability that the number of points on the Jacobian of a genus 2 curve is prime. Zbl 1333.11059
Castryck, Wouter; Folsom, Amanda; Hubrechts, Hendrik; Sutherland, Andrew V.
7
2012
Computing graded Betti tables of toric surfaces. Zbl 1476.14085
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
7
2019
Hash functions from superspecial genus-2 curves using Richelot isogenies. Zbl 1462.14047
Castryck, Wouter; Decru, Thomas; Smith, Benjamin
7
2020
Point counting on curves using a gonality preserving lift. Zbl 1442.14096
Castryck, Wouter; Tuitman, Jan
5
2018
The dimension growth conjecture, polynomial in the degree and without logarithmic factors. Zbl 1480.11083
Castryck, Wouter; Cluckers, Raf; Dittmann, Philip; Nguyen, Kien Huu
5
2020
Radical isogenies. Zbl 1511.94068
Castryck, Wouter; Decru, Thomas; Vercauteren, Frederik
5
2020
Faster homomorphic function evaluation using non-integral base encoding. Zbl 1446.94107
Bonte, Charlotte; Bootland, Carl; Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
5
2017
A minimal set of generators for the canonical ideal of a nondegenerate curve. Zbl 1330.14045
Castryck, Wouter; Cools, Filip
5
2015
Intrinsicness of the Newton polygon for smooth curves on \({\mathbb {P}}^1\times {\mathbb {P}}^1\). Zbl 1393.14028
Castryck, Wouter; Cools, Filip
5
2017
The lattice size of a lattice polygon. Zbl 1432.52022
Castryck, Wouter; Cools, Filip
4
2015
A combinatorial interpretation for Schreyer’s tetragonal invariants. Zbl 1365.14042
Castryck, Wouter; Cools, Filip
3
2015
Computing zeta functions in families of \(C_{a,b}\) curves using deformation. Zbl 1189.11060
Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik
3
2008
The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078
Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe
3
2014
New bounds for exponential sums with a non-degenerate phase polynomial. Zbl 1472.11221
Castryck, Wouter; Nguyen, Kien Huu
3
2019
A fusion algorithm for solving the hidden shift problem in finite abelian groups. Zbl 1487.81064
Castryck, Wouter; Dooms, Ann; Emerencia, Carlo; Lemmens, Alexander
3
2021
Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024
Castryck, Wouter; Vercauteren, Frederik
3
2011
Constraints on counterexamples to the Casas-Alvero conjecture and a verification in degree \(12\). Zbl 1328.12001
Castryck, Wouter; Laterveer, Robert; Ounaïes, Myriam
2
2014
Erratum to: Newton polygons and curve gonalities. Zbl 1376.14032
Castryck, Wouter; Cools, Filip
2
2012
Homomorphic \(\mathrm {SIM}^2\)D operations: single instruction much more data. Zbl 1420.94046
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2018
On the security of the multivariate ring learning with errors problem. Zbl 1472.94045
Bootland, Carl; Castryck, Wouter; Vercauteren, Frederik
2
2020
Lifting low-gonal curves for use in Tuitman’s algorithm. Zbl 1457.11090
Castryck, Wouter; Vermeulen, Floris
2
2020
Efficiently processing complex-valued data in homomorphic encryption. Zbl 1448.94189
Bootland, Carl; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2020
A framework for cryptographic problems from linear algebra. Zbl 1460.94037
Bootland, Carl; Castryck, Wouter; Szepieniec, Alan; Vercauteren, Frederik
2
2020
Privacy-friendly forecasting for the smart grid using homomorphic encryption and the group method of data handling. Zbl 1408.94928
Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2017
Curves in characteristic \(2\) with non-trivial \(2\)-torsion. Zbl 1327.14139
Castryck, Wouter; Streng, Marco; Testa, Damiano
2
2014
A shortened classical proof of the quadratic reciprocity law. Zbl 1228.11006
Castryck, Wouter
1
2008
Nondegenerate curves of low genus over small finite fields. Zbl 1211.14035
Castryck, Wouter; Voight, John
1
2010
Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory. Zbl 1415.14010
Aubry, Yves; Castryck, Wouter; Ghorpade, Sudhir R.; Lachaud, Gilles; O’Sullivan, Michael E.; Ram, Samrith
1
2017
Canonical syzygies of smooth curves on toric surfaces. Zbl 1425.14025
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
1
2020
Multiradical isogenies. Zbl 1506.14056
Castryck, Wouter; Decru, Thomas
1
2022
A lower bound for the gonality conjecture. Zbl 1387.13032
Castryck, Wouter
1
2017
Multiradical isogenies. Zbl 1506.14056
Castryck, Wouter; Decru, Thomas
1
2022
A fusion algorithm for solving the hidden shift problem in finite abelian groups. Zbl 1487.81064
Castryck, Wouter; Dooms, Ann; Emerencia, Carlo; Lemmens, Alexander
3
2021
CSIDH on the surface. Zbl 1501.94035
Castryck, Wouter; Decru, Thomas
22
2020
Rational isogenies from irrational endomorphisms. Zbl 1492.94075
Castryck, Wouter; Panny, Lorenz; Vercauteren, Frederik
9
2020
Breaking the decisional Diffie-Hellman problem for class group actions using genus theory. Zbl 1504.94115
Castryck, Wouter; Sotáková, Jana; Vercauteren, Frederik
8
2020
Hash functions from superspecial genus-2 curves using Richelot isogenies. Zbl 1462.14047
Castryck, Wouter; Decru, Thomas; Smith, Benjamin
7
2020
The dimension growth conjecture, polynomial in the degree and without logarithmic factors. Zbl 1480.11083
Castryck, Wouter; Cluckers, Raf; Dittmann, Philip; Nguyen, Kien Huu
5
2020
Radical isogenies. Zbl 1511.94068
Castryck, Wouter; Decru, Thomas; Vercauteren, Frederik
5
2020
On the security of the multivariate ring learning with errors problem. Zbl 1472.94045
Bootland, Carl; Castryck, Wouter; Vercauteren, Frederik
2
2020
Lifting low-gonal curves for use in Tuitman’s algorithm. Zbl 1457.11090
Castryck, Wouter; Vermeulen, Floris
2
2020
Efficiently processing complex-valued data in homomorphic encryption. Zbl 1448.94189
Bootland, Carl; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2020
A framework for cryptographic problems from linear algebra. Zbl 1460.94037
Bootland, Carl; Castryck, Wouter; Szepieniec, Alan; Vercauteren, Frederik
2
2020
Canonical syzygies of smooth curves on toric surfaces. Zbl 1425.14025
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
1
2020
Computing graded Betti tables of toric surfaces. Zbl 1476.14085
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
7
2019
New bounds for exponential sums with a non-degenerate phase polynomial. Zbl 1472.11221
Castryck, Wouter; Nguyen, Kien Huu
3
2019
CSIDH: an efficient post-quantum commutative group action. Zbl 1407.81084
Castryck, Wouter; Lange, Tanja; Martindale, Chloe; Panny, Lorenz; Renes, Joost
87
2018
Point counting on curves using a gonality preserving lift. Zbl 1442.14096
Castryck, Wouter; Tuitman, Jan
5
2018
Homomorphic \(\mathrm {SIM}^2\)D operations: single instruction much more data. Zbl 1420.94046
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2018
Linear pencils encoded in the Newton polygon. Zbl 1405.14121
Castryck, Wouter; Cools, Filip
12
2017
Faster homomorphic function evaluation using non-integral base encoding. Zbl 1446.94107
Bonte, Charlotte; Bootland, Carl; Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
5
2017
Intrinsicness of the Newton polygon for smooth curves on \({\mathbb {P}}^1\times {\mathbb {P}}^1\). Zbl 1393.14028
Castryck, Wouter; Cools, Filip
5
2017
Privacy-friendly forecasting for the smart grid using homomorphic encryption and the group method of data handling. Zbl 1408.94928
Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2017
Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory. Zbl 1415.14010
Aubry, Yves; Castryck, Wouter; Ghorpade, Sudhir R.; Lachaud, Gilles; O’Sullivan, Michael E.; Ram, Samrith
1
2017
A lower bound for the gonality conjecture. Zbl 1387.13032
Castryck, Wouter
1
2017
Provably weak instances of ring-LWE revisited. Zbl 1347.94025
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
12
2016
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
8
2016
A minimal set of generators for the canonical ideal of a nondegenerate curve. Zbl 1330.14045
Castryck, Wouter; Cools, Filip
5
2015
The lattice size of a lattice polygon. Zbl 1432.52022
Castryck, Wouter; Cools, Filip
4
2015
A combinatorial interpretation for Schreyer’s tetragonal invariants. Zbl 1365.14042
Castryck, Wouter; Cools, Filip
3
2015
New equidistribution estimates of Zhang type. Zbl 1307.11097
Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng
28
2014
The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078
Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe
3
2014
Constraints on counterexamples to the Casas-Alvero conjecture and a verification in degree \(12\). Zbl 1328.12001
Castryck, Wouter; Laterveer, Robert; Ounaïes, Myriam
2
2014
Curves in characteristic \(2\) with non-trivial \(2\)-torsion. Zbl 1327.14139
Castryck, Wouter; Streng, Marco; Testa, Damiano
2
2014
The distribution of the number of points modulo an integer on elliptic curves over finite fields. Zbl 1264.14044
Castryck, Wouter; Hubrechts, Hendrik
9
2013
Moving out the edges of a lattice polygon. Zbl 1237.52002
Castryck, Wouter
22
2012
Newton polygons and curve gonalities. Zbl 1376.14031
Castryck, Wouter; Cools, Filip
11
2012
The probability that the number of points on the Jacobian of a genus 2 curve is prime. Zbl 1333.11059
Castryck, Wouter; Folsom, Amanda; Hubrechts, Hendrik; Sutherland, Andrew V.
7
2012
Erratum to: Newton polygons and curve gonalities. Zbl 1376.14032
Castryck, Wouter; Cools, Filip
2
2012
Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024
Castryck, Wouter; Vercauteren, Frederik
3
2011
Nondegenerate curves of low genus over small finite fields. Zbl 1211.14035
Castryck, Wouter; Voight, John
1
2010
On nondegeneracy of curves. Zbl 1177.14089
Castryck, Wouter; Voight, John
17
2009
Computing zeta functions in families of \(C_{a,b}\) curves using deformation. Zbl 1189.11060
Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik
3
2008
A shortened classical proof of the quadratic reciprocity law. Zbl 1228.11006
Castryck, Wouter
1
2008
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
24
2006
all top 5

Cited by 456 Authors

26 Castryck, Wouter
12 Vercauteren, Frederik
10 Morrison, Ralph
7 Cools, Filip
6 De Feo, Luca
6 Lauter, Kristin Estella
5 Garcia, Stephan Ramon
5 Lemmens, Alexander
5 Petit, Christophe
4 Decru, Thomas
4 Dobson, Samuel
4 Galbraith, Steven D.
4 Hu, Zhi
4 Hubrechts, Hendrik
4 Iliashenko, Ilia
4 Kutas, Péter
4 Lai, Yi-Fu
4 LeGrow, Jason Travis
4 Onuki, Hiroshi
4 Pedersen, Robi
4 Sotáková, Jana
4 Stange, Katherine E.
4 Takagi, Tsuyoshi
3 Alamati, Navid
3 Averkov, Gennadiy
3 Azarderakhsh, Reza
3 Beullens, Ward
3 Chen, Hao
3 Cheon, Jung Hee
3 Chi-Domínguez, Jesús-Javier
3 Costa, Edgar
3 Fouvry, Etienne
3 Han, Kyoohyung
3 Harvey, David
3 Joswig, Michael
3 Katsumata, Shuichi
3 Koziel, Brian
3 Kudo, Momonari
3 Luca, Florian
3 Martindale, Chloe
3 Nguyen, Kien Huu
3 Peikert, Chris
3 Pintore, Federico
3 Rojas, J. Maurice
3 Schymura, Matthias
3 Stebila, Douglas
3 Takashima, Katsuyuki
3 Tewari, Ayush Kumar
3 Tuitman, Jan
3 Vermeulen, Floris
3 Yao, David D. W.
3 Zhou, Zijian
2 Achter, Jeffrey D.
2 Ahmadi, Omran
2 Albrecht, Martin R.
2 Baker, Roger C.
2 Bonnetain, Xavier
2 Bootland, Carl
2 Brendel, Jacqueline
2 Bruce, Juliette
2 Chen, Hao
2 Cheng, Qi
2 Coles, Desmond
2 Costello, Craig
2 Cozzo, Daniele
2 Dais, Dimitrios I.
2 Demeyer, Jeroen
2 Dryło, Robert
2 Dutta, Neelav
2 Erman, Daniel
2 Faber, Xander
2 Farashahi, Reza Rezaeian
2 Gao, Shuhong
2 Goldstein, Steve
2 Granger, Robert A.
2 Grantham, Jon
2 Günther, Felix
2 Harrison, Anthony W.
2 Houben, Marc
2 Hutchinson, Aaron
2 Irving, Alastair James
2 Jacoby, Liza
2 Janson, Christian
2 Jiang, Sifan
2 Kedlaya, Kiran Sridhara
2 Kiltz, Eike
2 Kim, Andrey
2 Kim, Miran
2 Kohel, David R.
2 Kowalski, Emmanuel
2 Kunzweiler, Sabrina
2 Laine, Kim
2 Merz, Simon-Philipp
2 Michel, Philippe Gabriel
2 Montgomery, Hart
2 Moriya, Tomoki
2 Panny, Lorenz
2 Patranabis, Sikhar
2 Riepel, Doreen
2 Rodríguez-Henríquez, Francisco
...and 356 more Authors
all top 5

Cited in 83 Serials

11 Journal of Mathematical Cryptology
9 Journal of Number Theory
6 Finite Fields and their Applications
5 Mathematics of Computation
5 Transactions of the American Mathematical Society
5 Discrete & Computational Geometry
5 Designs, Codes and Cryptography
4 Journal of Algebra
4 Journal of Symbolic Computation
4 Experimental Mathematics
3 Acta Arithmetica
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Proceedings of the London Mathematical Society. Third Series
3 SIAM Journal on Discrete Mathematics
3 Journal of Algebraic Combinatorics
3 Advances in Mathematics of Communications
3 Research in Number Theory
3 SIAM Journal on Applied Algebra and Geometry
2 Discrete Mathematics
2 Mathematische Semesterberichte
2 Bulletin of the London Mathematical Society
2 Collectanea Mathematica
2 Journal of Combinatorial Theory. Series A
2 Mathematika
2 Journal of Cryptology
2 The Ramanujan Journal
2 Fundamenta Informaticae
2 Advances in Geometry
2 Algebra & Number Theory
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Information Processing Letters
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Tôhoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 Graphs and Combinatorics
1 Extracta Mathematicae
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Cybernetics and Systems Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal de Théorie des Nombres de Bordeaux
1 The Electronic Journal of Combinatorics
1 Bulletin des Sciences Mathématiques
1 Annals of Combinatorics
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Integers
1 Journal of the Institute of Mathematics of Jussieu
1 International Journal of Number Theory
1 Chebyshevskiĭ Sbornik
1 Mathematics in Computer Science
1 Involve
1 Journal of Commutative Algebra
1 Japanese Journal of Mathematics. 3rd Series
1 Cryptography and Communications
1 Science China. Mathematics
1 Forum of Mathematics, Pi
1 JSIAM Letters
1 Research in the Mathematical Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Combinatorial Algebra
1 Algebraic Combinatorics

Citations by Year