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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: 42 Publications since 2006
Co-Authors: 52 Co-Authors with 39 Joint Publications
869 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 243 times in 189 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
53
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
26
2014
Moving out the edges of a lattice polygon. Zbl 1237.52002
Castryck, Wouter
19
2012
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
18
2006
On nondegeneracy of curves. Zbl 1177.14089
Castryck, Wouter; Voight, John
14
2009
Provably weak instances of ring-LWE revisited. Zbl 1347.94025
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
11
2016
Newton polygons and curve gonalities. Zbl 1376.14031
Castryck, Wouter; Cools, Filip
10
2012
Linear pencils encoded in the Newton polygon. Zbl 1405.14121
Castryck, Wouter; Cools, Filip
10
2017
The distribution of the number of points modulo an integer on elliptic curves over finite fields. Zbl 1264.14044
Castryck, Wouter; Hubrechts, Hendrik
8
2013
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
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
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
5
2016
The lattice size of a lattice polygon. Zbl 1432.52022
Castryck, Wouter; Cools, Filip
4
2015
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
4
2017
Computing graded Betti tables of toric surfaces. Zbl 1476.14085
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
4
2019
Rational isogenies from irrational endomorphisms. Zbl 07496561
Castryck, Wouter; Panny, Lorenz; Vercauteren, Frederik
3
2020
Hash functions from superspecial genus-2 curves using Richelot isogenies. Zbl 1462.14047
Castryck, Wouter; Decru, Thomas; Smith, Benjamin
3
2020
A combinatorial interpretation for Schreyer’s tetragonal invariants. Zbl 1365.14042
Castryck, Wouter; Cools, Filip
3
2015
Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024
Castryck, Wouter; Vercauteren, Frederik
3
2011
Computing zeta functions in families of \(C_{a,b}\) curves using deformation. Zbl 1189.11060
Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik
3
2008
On the security of the multivariate ring learning with errors problem. Zbl 1472.94045
Bootland, Carl; Castryck, Wouter; Vercauteren, Frederik
2
2020
Homomorphic \(\mathrm {SIM}^2\)D operations: single instruction much more data. Zbl 1420.94046
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2018
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
2
2014
Erratum to: Newton polygons and curve gonalities. Zbl 1376.14032
Castryck, Wouter; Cools, Filip
2
2012
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
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
Point counting on curves using a gonality preserving lift. Zbl 1442.14096
Castryck, Wouter; Tuitman, Jan
2
2018
Efficiently processing complex-valued data in homomorphic encryption. Zbl 1448.94189
Bootland, Carl; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2020
New bounds for exponential sums with a non-degenerate phase polynomial. Zbl 1472.11221
Castryck, Wouter; Nguyen, Kien Huu
2
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
1
2021
A framework for cryptographic problems from linear algebra. Zbl 1460.94037
Bootland, Carl; Castryck, Wouter; Szepieniec, Alan; Vercauteren, Frederik
1
2020
A shortened classical proof of the quadratic reciprocity law. Zbl 1228.11006
Castryck, Wouter
1
2008
A lower bound for the gonality conjecture. Zbl 1387.13032
Castryck, Wouter
1
2017
Curves in characteristic \(2\) with non-trivial \(2\)-torsion. Zbl 1327.14139
Castryck, Wouter; Streng, Marco; Testa, Damiano
1
2014
Canonical syzygies of smooth curves on toric surfaces. Zbl 1425.14025
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
1
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
1
2020
A fusion algorithm for solving the hidden shift problem in finite abelian groups. Zbl 1487.81064
Castryck, Wouter; Dooms, Ann; Emerencia, Carlo; Lemmens, Alexander
1
2021
Rational isogenies from irrational endomorphisms. Zbl 07496561
Castryck, Wouter; Panny, Lorenz; Vercauteren, Frederik
3
2020
Hash functions from superspecial genus-2 curves using Richelot isogenies. Zbl 1462.14047
Castryck, Wouter; Decru, Thomas; Smith, Benjamin
3
2020
On the security of the multivariate ring learning with errors problem. Zbl 1472.94045
Bootland, Carl; Castryck, Wouter; Vercauteren, Frederik
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
1
2020
Canonical syzygies of smooth curves on toric surfaces. Zbl 1425.14025
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
1
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
1
2020
Computing graded Betti tables of toric surfaces. Zbl 1476.14085
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
4
2019
New bounds for exponential sums with a non-degenerate phase polynomial. Zbl 1472.11221
Castryck, Wouter; Nguyen, Kien Huu
2
2019
CSIDH: an efficient post-quantum commutative group action. Zbl 1407.81084
Castryck, Wouter; Lange, Tanja; Martindale, Chloe; Panny, Lorenz; Renes, Joost
53
2018
Homomorphic \(\mathrm {SIM}^2\)D operations: single instruction much more data. Zbl 1420.94046
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2018
Point counting on curves using a gonality preserving lift. Zbl 1442.14096
Castryck, Wouter; Tuitman, Jan
2
2018
Linear pencils encoded in the Newton polygon. Zbl 1405.14121
Castryck, Wouter; Cools, Filip
10
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
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
4
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
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
11
2016
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
5
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
26
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
2
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
1
2014
The distribution of the number of points modulo an integer on elliptic curves over finite fields. Zbl 1264.14044
Castryck, Wouter; Hubrechts, Hendrik
8
2013
Moving out the edges of a lattice polygon. Zbl 1237.52002
Castryck, Wouter
19
2012
Newton polygons and curve gonalities. Zbl 1376.14031
Castryck, Wouter; Cools, Filip
10
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
On nondegeneracy of curves. Zbl 1177.14089
Castryck, Wouter; Voight, John
14
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.
18
2006
all top 5

Cited by 329 Authors

17 Castryck, Wouter
8 Vercauteren, Frederik
7 Cools, Filip
7 Morrison, Ralph
5 De Feo, Luca
5 Garcia, Stephan Ramon
5 Lemmens, Alexander
4 Iliashenko, Ilia
4 LeGrow, Jason Travis
4 Stange, Katherine E.
3 Averkov, Gennadiy
3 Azarderakhsh, Reza
3 Fouvry, Etienne
3 Hubrechts, Hendrik
3 Joswig, Michael
3 Koziel, Brian
3 Kutas, Péter
3 Lauter, Kristin Estella
3 Luca, Florian
3 Petit, Christophe
3 Schymura, Matthias
3 Tewari, Ayush Kumar
3 Tuitman, Jan
3 Yao, David D. W.
2 Achter, Jeffrey D.
2 Ahmadi, Omran
2 Baker, Roger C.
2 Beullens, Ward
2 Bonnetain, Xavier
2 Bootland, Carl
2 Bruce, Juliette
2 Cheon, Jung Hee
2 Dais, Dimitrios I.
2 Demeyer, Jeroen
2 Dryło, Robert
2 Erman, Daniel
2 Farashahi, Reza Rezaeian
2 Goldstein, Steve
2 Granger, Robert A.
2 Han, Kyoohyung
2 Harrison, Anthony W.
2 Hu, Zhi
2 Hutchinson, Aaron
2 Irving, Alastair James
2 Katsumata, Shuichi
2 Kohel, David R.
2 Kowalski, Emmanuel
2 Kudo, Momonari
2 Lai, Yi-Fu
2 Martindale, Chloe
2 Michel, Philippe Gabriel
2 Nguyen, Kien Huu
2 Onuki, Hiroshi
2 Panny, Lorenz
2 Pedersen, Robi
2 Peikert, Chris
2 Pintore, Federico
2 Rojas, J. Maurice
2 Sakzad, Amin
2 Sawin, William F.
2 Schrottenloher, André
2 Soprunova, Evgenia
2 Stebila, Douglas
2 Stehlé, Damien
2 Steinfeld, Ron
2 Takashima, Katsuyuki
2 Udell, Gabe
2 Wulcan, Elizabeth
2 Yang, Jay
2 Yasuda, Masaya
1 Aberdein, Andrew
1 Aidun, Ivan
1 Aikawa, Yusuke
1 Akbary, Amir
1 Albrecht, Martin R.
1 Aletheia-Zomlefer, Soren Laing
1 Aono, Yoshinori
1 Apon, Daniel
1 Aung, Khin Mi Mi
1 Avendano, Martin
1 Baghery, Karim
1 Bai, Shi
1 Balletti, Gabriele
1 Biasse, Jean-François
1 Blekherman, Grigoriy
1 Blomer, Valentin
1 Boneh, Dan
1 Borger, Christopher
1 Brendel, Jacqueline
1 Brieulle, Ludovic
1 Brodsky, Sarah B.
1 Burdges, Jeffrey
1 Cartwright, Dustin A.
1 Case, Benjamin M.
1 Chen, Hongbin
1 Chen, Yao
1 Cheng, Qi
1 Chestnut, Stephen R.
1 Chi-Domínguez, Jesús-Javier
1 Cima, Anna
...and 229 more Authors
all top 5

Cited in 72 Serials

10 Journal of Mathematical Cryptology
7 Journal of Number Theory
6 Finite Fields and their Applications
5 Mathematics of Computation
5 Discrete & Computational Geometry
4 Journal of Algebra
4 Transactions of the American Mathematical Society
4 Journal of Symbolic Computation
4 Designs, Codes and Cryptography
3 Acta Arithmetica
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 SIAM Journal on Discrete Mathematics
3 Journal of Algebraic Combinatorics
2 Journal of Combinatorial Theory. Series A
2 Journal of Cryptology
2 Experimental Mathematics
2 The Ramanujan Journal
2 Fundamenta Informaticae
2 Advances in Geometry
2 Advances in Mathematics of Communications
2 SIAM Journal on Applied Algebra and Geometry
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Information Processing Letters
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
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 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Mathematische Zeitschrift
1 Mathematika
1 Proceedings of the London Mathematical Society. Third Series
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 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 Journal of Commutative Algebra
1 Japanese Journal of Mathematics. 3rd Series
1 Cryptography and Communications
1 Science China. Mathematics
1 Research in the Mathematical Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Algebraic Combinatorics

Citations by Year