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Vercauteren, Frederik

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Author ID: vercauteren.frederik Recent zbMATH articles by "Vercauteren, Frederik"
Published as: Vercauteren, F.; Vercauteren, Frederik
External Links: MGP
Documents Indexed: 63 Publications since 2001, including 2 Books

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 487 times in 345 Documents Cited by Year
Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001
Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik
140
2006
The eta pairing revisited. Zbl 1189.11057
Hess, Florian; Smart, Nigel P.; Vercauteren, Frederik
55
2006
Fully homomorphic encryption with relatively small key and ciphertext sizes. Zbl 1281.94055
Smart, N. P.; Vercauteren, F.
36
2010
Optimal pairings. Zbl 1366.94540
Vercauteren, Frederik
35
2010
The number field sieve in the medium prime case. Zbl 1161.11417
Joux, Antoine; Lercier, Reynald; Smart, Nigel; Vercauteren, Frederik
19
2006
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
17
2006
Fully homomorphic SIMD operations. Zbl 1323.94140
Smart, N. P.; Vercauteren, F.
16
2014
Computing zeta functions of hyperelliptic curves over finite fields of characteristic 2. Zbl 1023.14007
Vercauteren, Frederik
14
2002
Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
13
2006
Ate pairing on hyperelliptic curves. Zbl 1141.94356
Granger, R.; Hess, F.; Oyono, R.; Thériault, N.; Vercauteren, F.
12
2007
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
12
2006
A memory efficient version of Satoh’s algorithm. Zbl 1009.11052
Vercauteren, Frederik; Preneel, Bart; Vandewalle, Joos
9
2001
Provably weak instances of ring-LWE revisited. Zbl 1347.94025
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
8
2016
On computable isomorphisms in efficient asymmetric pairing-based systems. Zbl 1123.94009
Smart, N. P.; Vercauteren, F.
7
2007
A fault attack on pairing-based cryptography. Zbl 1189.94046
Page, Daniel; Vercauteren, Frederik
7
2006
A comparison of MNT curves and supersingular curves. Zbl 1134.94377
Page, D.; Smart, N. P.; Vercauteren, F.
7
2006
On CCA-secure somewhat homomorphic encryption. Zbl 1292.94106
Loftus, Jake; May, Alexander; Smart, Nigel P.; Vercauteren, Frederik
6
2012
Aspects of pairing inversion. Zbl 1189.14032
Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik
6
2008
Hyperelliptic pairings. Zbl 1151.11353
Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik
6
2007
On the discrete logarithm problem on algebraic tori. Zbl 1145.94442
Granger, R.; Vercauteren, F.
6
2005
Computational problems in supersingular elliptic curve isogenies. Zbl 1400.81083
Galbraith, Steven D.; Vercauteren, Frederik
4
2018
Computing zeta functions in families of \(C_{a,b}\) curves using deformation. Zbl 1189.11060
Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik
4
2008
The equivalence between the BHP and DLP for elliptic curves used in practical applications. Zbl 1093.14504
Muzereau, A.; Smart, N. P.; Vercauteren, F.
4
2004
An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040
Denef, Jan; Vercauteren, Frederik
4
2002
CSI-FiSh: efficient isogeny based signatures through class group computations. Zbl 1456.94050
Beullens, Ward; Kleinjung, Thorsten; Vercauteren, Frederik
3
2019
Parallel shortest lattice vector enumeration on graphics cards. Zbl 1284.68638
Hermans, Jens; Schneider, Michael; Buchmann, Johannes; Vercauteren, Frederik; Preneel, Bart
3
2010
The hidden root problem. Zbl 1186.94474
Vercauteren, Frederik
3
2008
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2016
A masked ring-LWE implementation. Zbl 1405.94083
Reparaz, Oscar; Sinha Roy, Sujoy; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2015
High precision discrete Gaussian sampling on FPGAs. Zbl 1362.94048
Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2014
To infinity and beyond: combined attack on ECC using points of low order. Zbl 1321.94056
Fan, Junfeng; Gierlichs, Benedikt; Vercauteren, Frederik
2
2011
Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024
Castryck, Wouter; Vercauteren, Frederik
2
2011
Speeding up bipartite modular multiplication. Zbl 1245.11127
Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2010
Speed records for NTRU. Zbl 1272.94035
Hermans, Jens; Vercauteren, Frederik; Preneel, Bart
2
2010
Faster \(\mathbb F_p\)-arithmetic for cryptographic pairings on Barreto-Naehrig curves. Zbl 1189.14031
Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2009
Pairings on elliptic curves. Zbl 1156.14313
Vercauteren, Frederik
2
2009
Function field sieve in characteristic three. Zbl 1125.11358
Granger, R.; Holt, A. J.; Page, D.; Smart, N. P.; Vercauteren, F.
2
2004
Faster SeaSign signatures through improved rejection sampling. Zbl 07173868
Decru, Thomas; Panny, Lorenz; Vercauteren, Frederik
1
2019
Saber: module-LWR based key exchange, CPA-secure encryption and CCA-secure KEM. Zbl 1423.94065
D’Anvers, Jan-Pieter; Karmakar, Angshuman; Sinha Roy, Sujoy; Vercauteren, Frederik
1
2018
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
1
2017
Efficient finite field multiplication for isogeny based post quantum cryptography. Zbl 1409.94882
Karmakar, Angshuman; Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid
1
2016
Modular hardware architecture for somewhat homomorphic function evaluation. Zbl 1380.94125
Sinha Roy, Sujoy; Järvinen, Kimmo; Vercauteren, Frederik; Dimitrov, Vassil; Verbauwhede, Ingrid
1
2015
Compact ring-LWE cryptoprocessor. Zbl 1383.94040
Roy, Sujoy Sinha; Vercauteren, Frederik; Mentens, Nele; Chen, Donald Donglong; Verbauwhede, Ingrid
1
2014
Efficient hardware implementation of \(\mathbb F_p\)-arithmetic for pairing-friendly curves. Zbl 1365.65301
Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid
1
2012
Fault attacks on pairing-based cryptography. Zbl 1267.94056
El Mrabet, Nadia; Page, Dan; Vercauteren, Frederik
1
2012
Faster interleaved modular multiplication based on Barrett and Montgomery reduction methods. Zbl 1367.65233
Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid
1
2010
Computational aspects of the expected differential probability of 4-round AES and AES-like ciphers. Zbl 1171.14017
Daemen, Joan; Lamberger, Mario; Pramstaller, Norbert; Rijmen, Vincent; Vercauteren, Frederik
1
2009
An algebraic approach to NTRU (\(q = 2^{n}\)) via Witt vectors and overdetermined systems of nonlinear equations. Zbl 1116.94333
Silverman, J. H.; Smart, N. P.; Vercauteren, F.
1
2005
CSI-FiSh: efficient isogeny based signatures through class group computations. Zbl 1456.94050
Beullens, Ward; Kleinjung, Thorsten; Vercauteren, Frederik
3
2019
Faster SeaSign signatures through improved rejection sampling. Zbl 07173868
Decru, Thomas; Panny, Lorenz; Vercauteren, Frederik
1
2019
Computational problems in supersingular elliptic curve isogenies. Zbl 1400.81083
Galbraith, Steven D.; Vercauteren, Frederik
4
2018
Saber: module-LWR based key exchange, CPA-secure encryption and CCA-secure KEM. Zbl 1423.94065
D’Anvers, Jan-Pieter; Karmakar, Angshuman; Sinha Roy, Sujoy; Vercauteren, Frederik
1
2018
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
1
2017
Provably weak instances of ring-LWE revisited. Zbl 1347.94025
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
8
2016
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2
2016
Efficient finite field multiplication for isogeny based post quantum cryptography. Zbl 1409.94882
Karmakar, Angshuman; Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid
1
2016
A masked ring-LWE implementation. Zbl 1405.94083
Reparaz, Oscar; Sinha Roy, Sujoy; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2015
Modular hardware architecture for somewhat homomorphic function evaluation. Zbl 1380.94125
Sinha Roy, Sujoy; Järvinen, Kimmo; Vercauteren, Frederik; Dimitrov, Vassil; Verbauwhede, Ingrid
1
2015
Fully homomorphic SIMD operations. Zbl 1323.94140
Smart, N. P.; Vercauteren, F.
16
2014
High precision discrete Gaussian sampling on FPGAs. Zbl 1362.94048
Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2014
Compact ring-LWE cryptoprocessor. Zbl 1383.94040
Roy, Sujoy Sinha; Vercauteren, Frederik; Mentens, Nele; Chen, Donald Donglong; Verbauwhede, Ingrid
1
2014
On CCA-secure somewhat homomorphic encryption. Zbl 1292.94106
Loftus, Jake; May, Alexander; Smart, Nigel P.; Vercauteren, Frederik
6
2012
Efficient hardware implementation of \(\mathbb F_p\)-arithmetic for pairing-friendly curves. Zbl 1365.65301
Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid
1
2012
Fault attacks on pairing-based cryptography. Zbl 1267.94056
El Mrabet, Nadia; Page, Dan; Vercauteren, Frederik
1
2012
To infinity and beyond: combined attack on ECC using points of low order. Zbl 1321.94056
Fan, Junfeng; Gierlichs, Benedikt; Vercauteren, Frederik
2
2011
Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024
Castryck, Wouter; Vercauteren, Frederik
2
2011
Fully homomorphic encryption with relatively small key and ciphertext sizes. Zbl 1281.94055
Smart, N. P.; Vercauteren, F.
36
2010
Optimal pairings. Zbl 1366.94540
Vercauteren, Frederik
35
2010
Parallel shortest lattice vector enumeration on graphics cards. Zbl 1284.68638
Hermans, Jens; Schneider, Michael; Buchmann, Johannes; Vercauteren, Frederik; Preneel, Bart
3
2010
Speeding up bipartite modular multiplication. Zbl 1245.11127
Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2010
Speed records for NTRU. Zbl 1272.94035
Hermans, Jens; Vercauteren, Frederik; Preneel, Bart
2
2010
Faster interleaved modular multiplication based on Barrett and Montgomery reduction methods. Zbl 1367.65233
Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid
1
2010
Faster \(\mathbb F_p\)-arithmetic for cryptographic pairings on Barreto-Naehrig curves. Zbl 1189.14031
Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid
2
2009
Pairings on elliptic curves. Zbl 1156.14313
Vercauteren, Frederik
2
2009
Computational aspects of the expected differential probability of 4-round AES and AES-like ciphers. Zbl 1171.14017
Daemen, Joan; Lamberger, Mario; Pramstaller, Norbert; Rijmen, Vincent; Vercauteren, Frederik
1
2009
Aspects of pairing inversion. Zbl 1189.14032
Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik
6
2008
Computing zeta functions in families of \(C_{a,b}\) curves using deformation. Zbl 1189.11060
Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik
4
2008
The hidden root problem. Zbl 1186.94474
Vercauteren, Frederik
3
2008
Ate pairing on hyperelliptic curves. Zbl 1141.94356
Granger, R.; Hess, F.; Oyono, R.; Thériault, N.; Vercauteren, F.
12
2007
On computable isomorphisms in efficient asymmetric pairing-based systems. Zbl 1123.94009
Smart, N. P.; Vercauteren, F.
7
2007
Hyperelliptic pairings. Zbl 1151.11353
Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik
6
2007
Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001
Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik
140
2006
The eta pairing revisited. Zbl 1189.11057
Hess, Florian; Smart, Nigel P.; Vercauteren, Frederik
55
2006
The number field sieve in the medium prime case. Zbl 1161.11417
Joux, Antoine; Lercier, Reynald; Smart, Nigel; Vercauteren, Frederik
19
2006
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
17
2006
Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
13
2006
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
12
2006
A fault attack on pairing-based cryptography. Zbl 1189.94046
Page, Daniel; Vercauteren, Frederik
7
2006
A comparison of MNT curves and supersingular curves. Zbl 1134.94377
Page, D.; Smart, N. P.; Vercauteren, F.
7
2006
On the discrete logarithm problem on algebraic tori. Zbl 1145.94442
Granger, R.; Vercauteren, F.
6
2005
An algebraic approach to NTRU (\(q = 2^{n}\)) via Witt vectors and overdetermined systems of nonlinear equations. Zbl 1116.94333
Silverman, J. H.; Smart, N. P.; Vercauteren, F.
1
2005
The equivalence between the BHP and DLP for elliptic curves used in practical applications. Zbl 1093.14504
Muzereau, A.; Smart, N. P.; Vercauteren, F.
4
2004
Function field sieve in characteristic three. Zbl 1125.11358
Granger, R.; Holt, A. J.; Page, D.; Smart, N. P.; Vercauteren, F.
2
2004
Computing zeta functions of hyperelliptic curves over finite fields of characteristic 2. Zbl 1023.14007
Vercauteren, Frederik
14
2002
An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040
Denef, Jan; Vercauteren, Frederik
4
2002
A memory efficient version of Satoh’s algorithm. Zbl 1009.11052
Vercauteren, Frederik; Preneel, Bart; Vandewalle, Joos
9
2001
all top 5

Cited by 606 Authors

10 Shparlinski, Igor E.
9 Galbraith, Steven D.
9 Tsyganov, Andreĭ Vladimirovich
8 Vercauteren, Frederik
7 Lee, Hyangsook
6 Castryck, Wouter
6 Duquesne, Sylvain
6 Fouotsa, Emmanuel
6 Lauter, Kristin Estella
6 Lubicz, David
6 Smart, Nigel P.
6 Sutherland, Andrew V.
5 Barbulescu, Razvan
5 Costello, Craig
5 El Mrabet, Nadia
5 Hubrechts, Hendrik
5 Lee, Eunjeong
5 Menezes, Alfred J.
5 Park, Cheol Min
5 Yao, David D. W.
5 Zhang, Fangguo
4 Biasse, Jean-François
4 Bröker, Reinier
4 Frey, Gerhard
4 Gaudry, Pierrick
4 Hisil, Huseyin
4 Jacobson, Michael John jun.
4 Kohel, David R.
4 Pujolàs, Jordi
4 Scott, Michael B.
4 Susilo, Willy
4 Takagi, Tsuyoshi
4 Xu, Maozhi
3 Abe, Masayuki
3 Ahmadi, Omran
3 Armknecht, Frederik
3 Cheon, Jung Hee
3 Dominguez Perez, Luis J.
3 Faugère, Jean-Charles
3 Fontaine, Caroline
3 Ghammam, Loubna
3 Gorla, Elisa
3 Granger, Robert A.
3 Hong, Hoon
3 Joux, Antoine
3 Kanayama, Naoki
3 Knapp, Edward
3 Lange, Tanja
3 Lepoint, Tancrède
3 Lercier, Reynald
3 Lin, Xibin
3 Longa, Patrick
3 Massierer, Maike
3 Miret, Josep M.
3 Naehrig, Michael
3 Plantard, Thomas
3 Robert, Damien
3 Rodríguez-Henríquez, Francisco
3 Scheidler, Renate
3 Stein, Andreas
3 Thériault, Nicolas
3 Tuitman, Jan
3 Uchiyama, Shigenori
3 Wan, Daqing
3 Wong, Kenneth Koon-Ho
2 Abelard, Simon
2 Albrecht, Martin R.
2 Aranha, Diego F.
2 Avanzi, Roberto Maria
2 Azarderakhsh, Reza
2 Benger, Naomi
2 Bernstein, Daniel Julius
2 Bhagvati, Chakravarthy
2 Boneh, Dan
2 Bootland, Carl
2 Canteaut, Anne
2 Carpov, Sergiu
2 Carter, Gary
2 Charlemagne, Manuel
2 Chatterjee, Sanjit
2 Chen, Binglong
2 Dawson, Edward
2 Ducas, Léo
2 Enge, Andreas
2 Fan, Xinxin
2 Farashahi, Reza Rezaeian
2 Feng, Jun
2 Fontein, Felix
2 Gong, Guang
2 Groth, Jens
2 Guillevic, Aurore
2 Haloui, Safia
2 Harvey, David I.
2 Herold, Gottfried
2 Hohenberger, Susan
2 Hu, Zhi
2 Iliashenko, Ilia
2 Kachisa, Ezekiel J.
2 Kani, Ernst J.
2 Kim, Jinsu
...and 506 more Authors
all top 5

Cited in 79 Serials

31 Designs, Codes and Cryptography
17 Mathematics of Computation
14 Journal of Cryptology
14 Finite Fields and their Applications
13 LMS Journal of Computation and Mathematics
12 Applicable Algebra in Engineering, Communication and Computing
12 Journal of Mathematical Cryptology
10 Journal of Symbolic Computation
9 Information Processing Letters
8 Journal of Number Theory
7 Theoretical Computer Science
6 Information Sciences
5 Advances in Mathematics of Communications
4 Discrete Applied Mathematics
4 Journal of Mathematical Physics
4 Cryptography and Communications
4 JSIAM Letters
3 Journal of Complexity
3 Japan Journal of Industrial and Applied Mathematics
3 Foundations of Computational Mathematics
2 Theoretical and Mathematical Physics
2 Journal of Algebra
2 Proceedings of the Japan Academy. Series A
2 Mathematical and Computer Modelling
2 International Journal of Computer Mathematics
2 Journal of Applied Mathematics and Computing
2 International Journal of Number Theory
2 Mathematics in Computer Science
2 Groups, Complexity, Cryptology
2 Prikladnaya Diskretnaya Matematika
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Mathematische Semesterberichte
1 Rocky Mountain Journal of Mathematics
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Ricerche di Matematica
1 SIAM Journal on Computing
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Algorithmica
1 Discrete & Computational Geometry
1 SIAM Journal on Discrete Mathematics
1 Tatra Mountains Mathematical Publications
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 Advances in Computational Mathematics
1 Monte Carlo Methods and Applications
1 Complexity
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 The Ramanujan Journal
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Journal of Integer Sequences
1 Acta Mathematica Sinica. English Series
1 Entropy
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Quantum Information Processing
1 Mediterranean Journal of Mathematics
1 Science in China. Series F
1 Chebyshevskiĭ Sbornik
1 Algebra & Number Theory
1 Journal of Commutative Algebra
1 Science China. Information Sciences
1 Afrika Matematika
1 Open Mathematics
1 Nelineĭnaya Dinamika
1 SIAM Journal on Applied Algebra and Geometry

Citations by Year