Edit Profile (opens in new tab) Vercauteren, Frederik Co-Author Distance Author ID: vercauteren.frederik Published as: Vercauteren, Frederik; Vercauteren, F. External Links: MGP Documents Indexed: 72 Publications since 2001, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 75 Co-Authors with 70 Joint Publications 1,540 Co-Co-Authors all top 5 Co-Authors 4 single-authored 17 Castryck, Wouter 14 Smart, Nigel Paul 14 Verbauwhede, Ingrid M. R. 9 Roy, Sujoy Sinha 6 Iliashenko, Ilia 5 Hess, Florian 5 Page, Dan 4 Bootland, Carl 4 Denef, Jan 4 Galbraith, Steven D. 4 Preneel, Bart 3 D’Anvers, Jan-Pieter 3 Decru, Thomas 3 Fan, Junfeng 3 Granger, Robert A. 3 Karmakar, Angshuman 3 Reparaz, Oscar 3 Rotaru, Dragos 2 Beullens, Ward 2 Bos, Joppe W. 2 Hermans, Jens 2 Houben, Marc 2 Järvinen, Kimmo U. 2 Knežević, Miroslav 2 Makri, Eleftheria 2 Panny, Lorenz 2 Sotáková, Jana 1 Avanzi, Robero M. 1 Barbosa, Manuel 1 Blake, Ian F. 1 Bonte, Charlotte 1 Brumley, Billy Bob 1 Buchmann, Johannes A. 1 Chen, Donald Donglong 1 Cohen, Henri 1 Daemen, Joan 1 de Clercq, Ruan 1 Dimitrov, Vassil S. 1 Disson, Lucas 1 Doche, Christophe 1 El Mrabet, Nadia 1 Frey, Gerhard 1 Gaudry, Pierrick 1 Geelen, Robin 1 Gierlichs, Benedikt 1 Guo, Qian 1 Holt, Andrew J. 1 Hubrechts, Hendrik 1 Johansson, Thomas 1 Joux, Antoine 1 Joye, Marc 1 Kleinjung, Thorsten 1 Lamberger, Mario 1 Lange, Tanja 1 Lercier, Reynald 1 Loftus, Jake 1 Marnane, William P. 1 May, Alexander 1 Mentens, Nele 1 Muzereau, A. 1 Nilsson, Alexander 1 Orsini, Emmanuela 1 Oswald, Elisabeth 1 Oyono, Roger 1 Page, Daniel R. 1 Paterson, Kenneth G. 1 Pedersen, Robi 1 Pramstaller, Norbert 1 Rijmen, Vincent 1 Schneider, Michael 1 Seroussi, Gadiel 1 Silverman, Joseph Hillel 1 Szepieniec, Alan 1 Tanguy, Titouan 1 Thériault, Nicolas 1 Vandewalle, Joos P. 1 Vliegen, Jo 1 Wagh, Sameer 1 Wesolowski, Benjamin 1 Whelan, Claire 1 Wood, Tim all top 5 Serials 5 IEEE Transactions on Computers 4 Journal of Cryptology 3 IEEE Transactions on Information Theory 2 LMS Journal of Computation and Mathematics 2 Journal of Mathematical Cryptology 1 Discrete Applied Mathematics 1 Computing 1 Journal of Symbolic Computation 1 Designs, Codes and Cryptography 1 Applicable Algebra in Engineering, Communication and Computing 1 Finite Fields and their Applications 1 Quantum Information Processing 1 IMRP. International Mathematics Research Papers 1 Lecture Notes in Computer Science 1 London Mathematical Society Lecture Note Series 1 Research in Number Theory 1 Discrete Mathematics and its Applications all top 5 Fields 65 Information and communication theory, circuits (94-XX) 27 Number theory (11-XX) 22 Algebraic geometry (14-XX) 13 Computer science (68-XX) 10 Quantum theory (81-XX) 3 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 844 times in 602 Documents Cited by ▼ Year ▼ Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik 178 2006 The eta pairing revisited. Zbl 1189.11057Hess, Florian; Smart, Nigel P.; Vercauteren, Frederik 82 2006 Advances in elliptic curve cryptography. Zbl 1089.94018 58 2005 Optimal pairings. Zbl 1366.94540Vercauteren, Frederik 54 2010 Fully homomorphic encryption with relatively small key and ciphertext sizes. Zbl 1281.94055Smart, N. P.; Vercauteren, F. 53 2010 CSI-FiSh: efficient isogeny based signatures through class group computations. Zbl 1456.94050Beullens, Ward; Kleinjung, Thorsten; Vercauteren, Frederik 50 2019 Fully homomorphic SIMD operations. Zbl 1323.94140Smart, N. P.; Vercauteren, F. 44 2014 The number field sieve in the medium prime case. Zbl 1161.11417Joux, Antoine; Lercier, Reynald; Smart, Nigel; Vercauteren, Frederik 26 2006 Computing zeta functions of nondegenerate curves. Zbl 1161.14302Castryck, W.; Denef, J.; Vercauteren, F. 24 2006 Saber: module-LWR based key exchange, CPA-secure encryption and CCA-secure KEM. Zbl 1423.94065D’Anvers, Jan-Pieter; Karmakar, Angshuman; Sinha Roy, Sujoy; Vercauteren, Frederik 19 2018 Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032Denef, Jan; Vercauteren, Frederik 17 2006 An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017Denef, Jan; Vercauteren, Frederik 15 2006 Computing zeta functions of hyperelliptic curves over finite fields of characteristic 2. Zbl 1023.14007Vercauteren, Frederik 14 2002 Ate pairing on hyperelliptic curves. Zbl 1141.94356Granger, R.; Hess, F.; Oyono, R.; Thériault, N.; Vercauteren, F. 14 2007 A comparison of MNT curves and supersingular curves. Zbl 1134.94377Page, D.; Smart, N. P.; Vercauteren, F. 13 2006 Provably weak instances of ring-LWE revisited. Zbl 1347.94025Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 12 2016 Computational problems in supersingular elliptic curve isogenies. Zbl 1400.81083Galbraith, Steven D.; Vercauteren, Frederik 12 2018 On CCA-secure somewhat homomorphic encryption. Zbl 1292.94106Loftus, Jake; May, Alexander; Smart, Nigel P.; Vercauteren, Frederik 12 2012 Overdrive2k: efficient secure MPC over \(\mathbb{Z}_{2^k}\) from somewhat homomorphic encryption. Zbl 1457.94168Orsini, Emmanuela; Smart, Nigel P.; Vercauteren, Frederik 10 2020 A fault attack on pairing-based cryptography. Zbl 1189.94046Page, Daniel; Vercauteren, Frederik 10 2006 Rational isogenies from irrational endomorphisms. Zbl 1492.94075Castryck, Wouter; Panny, Lorenz; Vercauteren, Frederik 9 2020 Aspects of pairing inversion. Zbl 1189.14032Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik 9 2008 Hyperelliptic pairings. Zbl 1151.11353Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik 9 2007 A memory efficient version of Satoh’s algorithm. Zbl 1009.11052Vercauteren, Frederik; Preneel, Bart; Vandewalle, Joos 9 2001 On error distributions in ring-based LWE. Zbl 1404.94048Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 8 2016 Breaking the decisional Diffie-Hellman problem for class group actions using genus theory. Zbl 1504.94115Castryck, Wouter; Sotáková, Jana; Vercauteren, Frederik 8 2020 On computable isomorphisms in efficient asymmetric pairing-based systems. Zbl 1123.94009Smart, N. P.; Vercauteren, F. 7 2007 On the discrete logarithm problem on algebraic tori. Zbl 1145.94442Granger, R.; Vercauteren, F. 7 2005 Decryption failure attacks on IND-CCA secure lattice-based schemes. Zbl 1509.94082D’Anvers, Jan-Pieter; Guo, Qian; Johansson, Thomas; Nilsson, Alexander; Vercauteren, Frederik; Verbauwhede, Ingrid 7 2019 The impact of error dependencies on Ring/Mod-LWE/LWR based schemes. Zbl 1509.94083D’Anvers, Jan-Pieter; Vercauteren, Frederik; Verbauwhede, Ingrid 7 2019 Compact ring-LWE cryptoprocessor. Zbl 1383.94040Roy, Sujoy Sinha; Vercauteren, Frederik; Mentens, Nele; Chen, Donald Donglong; Verbauwhede, Ingrid 6 2014 To infinity and beyond: combined attack on ECC using points of low order. Zbl 1321.94056Fan, Junfeng; Gierlichs, Benedikt; Vercauteren, Frederik 6 2011 Faster SeaSign signatures through improved rejection sampling. Zbl 1509.94154Decru, Thomas; Panny, Lorenz; Vercauteren, Frederik 6 2019 Faster homomorphic function evaluation using non-integral base encoding. Zbl 1446.94107Bonte, Charlotte; Bootland, Carl; Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 5 2017 A masked ring-LWE implementation. Zbl 1405.94083Reparaz, Oscar; Sinha Roy, Sujoy; Vercauteren, Frederik; Verbauwhede, Ingrid 5 2015 Radical isogenies. Zbl 1511.94068Castryck, Wouter; Decru, Thomas; Vercauteren, Frederik 5 2020 Actively secure setup for SPDZ. Zbl 1481.94122Rotaru, Dragos; Smart, Nigel P.; Tanguy, Titouan; Vercauteren, Frederik; Wood, Tim 4 2022 High precision discrete Gaussian sampling on FPGAs. Zbl 1362.94048Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid 4 2014 An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040Denef, Jan; Vercauteren, Frederik 4 2002 The equivalence between the BHP and DLP for elliptic curves used in practical applications. Zbl 1093.14504Muzereau, A.; Smart, N. P.; Vercauteren, F. 4 2004 Computing zeta functions in families of \(C_{a,b}\) curves using deformation. Zbl 1189.11060Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik 3 2008 The hidden root problem. Zbl 1186.94474Vercauteren, Frederik 3 2008 Computational aspects of the expected differential probability of 4-round AES and AES-like ciphers. Zbl 1171.14017Daemen, Joan; Lamberger, Mario; Pramstaller, Norbert; Rijmen, Vincent; Vercauteren, Frederik 3 2009 Constant-time discrete Gaussian sampling. Zbl 1454.94074Karmakar, Angshuman; Roy, Sujoy Sinha; Reparaz, Oscar; Vercauteren, Frederik; Verbauwhede, Ingrid 3 2018 Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024Castryck, Wouter; Vercauteren, Frederik 3 2011 Speeding up bipartite modular multiplication. Zbl 1245.11127Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid 3 2010 Parallel shortest lattice vector enumeration on graphics cards. Zbl 1284.68638Hermans, Jens; Schneider, Michael; Buchmann, Johannes; Vercauteren, Frederik; Preneel, Bart 3 2010 CSI-RAShi: distributed key generation for CSIDH. Zbl 1485.94057Beullens, Ward; Disson, Lucas; Pedersen, Robi; Vercauteren, Frederik 2 2021 Efficiently processing complex-valued data in homomorphic encryption. Zbl 1448.94189Bootland, Carl; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 2 2020 On the security of the multivariate ring learning with errors problem. Zbl 1472.94045Bootland, Carl; Castryck, Wouter; Vercauteren, Frederik 2 2020 Function field sieve in characteristic three. Zbl 1125.11358Granger, R.; Holt, A. J.; Page, D.; Smart, N. P.; Vercauteren, F. 2 2004 A framework for cryptographic problems from linear algebra. Zbl 1460.94037Bootland, Carl; Castryck, Wouter; Szepieniec, Alan; Vercauteren, Frederik 2 2020 Modular hardware architecture for somewhat homomorphic function evaluation. Zbl 1380.94125Sinha Roy, Sujoy; Järvinen, Kimmo; Vercauteren, Frederik; Dimitrov, Vassil; Verbauwhede, Ingrid 2 2015 Additively homomorphic ring-LWE masking. Zbl 1405.94084Reparaz, Oscar; de Clercq, Ruan; Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2016 Homomorphic \(\mathrm {SIM}^2\)D operations: single instruction much more data. Zbl 1420.94046Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 2 2018 Efficient finite field multiplication for isogeny based post quantum cryptography. Zbl 1409.94882Karmakar, Angshuman; Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2016 Privacy-friendly forecasting for the smart grid using homomorphic encryption and the group method of data handling. Zbl 1408.94928Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 2 2017 Pairings on elliptic curves. Zbl 1156.14313Vercauteren, Frederik 2 2009 Faster interleaved modular multiplication based on Barrett and Montgomery reduction methods. Zbl 1367.65233Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2010 Fault attacks on pairing-based cryptography. Zbl 1267.94056El Mrabet, Nadia; Page, Dan; Vercauteren, Frederik 2 2012 Faster \(\mathbb F_p\)-arithmetic for cryptographic pairings on Barreto-Naehrig curves. Zbl 1189.14031Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2009 Speed records for NTRU. Zbl 1272.94035Hermans, Jens; Vercauteren, Frederik; Preneel, Bart 2 2010 \( \mathsf{Rabbit} \): efficient comparison for secure multi-party computation. Zbl 07543956Makri, Eleftheria; Rotaru, Dragos; Vercauteren, Frederik; Wagh, Sameer 2 2021 An algebraic approach to NTRU (\(q = 2^{n}\)) via Witt vectors and overdetermined systems of nonlinear equations. Zbl 1116.94333Silverman, J. H.; Smart, N. P.; Vercauteren, F. 1 2005 Efficient hardware implementation of \(\mathbb F_p\)-arithmetic for pairing-friendly curves. Zbl 1365.65301Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid 1 2012 EPIC: efficient private image classification (or: learning from the masters). Zbl 1452.68073Makri, Eleftheria; Rotaru, Dragos; Smart, Nigel P.; Vercauteren, Frederik 1 2019 Actively secure setup for SPDZ. Zbl 1481.94122Rotaru, Dragos; Smart, Nigel P.; Tanguy, Titouan; Vercauteren, Frederik; Wood, Tim 4 2022 CSI-RAShi: distributed key generation for CSIDH. Zbl 1485.94057Beullens, Ward; Disson, Lucas; Pedersen, Robi; Vercauteren, Frederik 2 2021 \( \mathsf{Rabbit} \): efficient comparison for secure multi-party computation. Zbl 07543956Makri, Eleftheria; Rotaru, Dragos; Vercauteren, Frederik; Wagh, Sameer 2 2021 Overdrive2k: efficient secure MPC over \(\mathbb{Z}_{2^k}\) from somewhat homomorphic encryption. Zbl 1457.94168Orsini, Emmanuela; Smart, Nigel P.; Vercauteren, Frederik 10 2020 Rational isogenies from irrational endomorphisms. Zbl 1492.94075Castryck, Wouter; Panny, Lorenz; Vercauteren, Frederik 9 2020 Breaking the decisional Diffie-Hellman problem for class group actions using genus theory. Zbl 1504.94115Castryck, Wouter; Sotáková, Jana; Vercauteren, Frederik 8 2020 Radical isogenies. Zbl 1511.94068Castryck, Wouter; Decru, Thomas; Vercauteren, Frederik 5 2020 Efficiently processing complex-valued data in homomorphic encryption. Zbl 1448.94189Bootland, Carl; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 2 2020 On the security of the multivariate ring learning with errors problem. Zbl 1472.94045Bootland, Carl; Castryck, Wouter; Vercauteren, Frederik 2 2020 A framework for cryptographic problems from linear algebra. Zbl 1460.94037Bootland, Carl; Castryck, Wouter; Szepieniec, Alan; Vercauteren, Frederik 2 2020 CSI-FiSh: efficient isogeny based signatures through class group computations. Zbl 1456.94050Beullens, Ward; Kleinjung, Thorsten; Vercauteren, Frederik 50 2019 Decryption failure attacks on IND-CCA secure lattice-based schemes. Zbl 1509.94082D’Anvers, Jan-Pieter; Guo, Qian; Johansson, Thomas; Nilsson, Alexander; Vercauteren, Frederik; Verbauwhede, Ingrid 7 2019 The impact of error dependencies on Ring/Mod-LWE/LWR based schemes. Zbl 1509.94083D’Anvers, Jan-Pieter; Vercauteren, Frederik; Verbauwhede, Ingrid 7 2019 Faster SeaSign signatures through improved rejection sampling. Zbl 1509.94154Decru, Thomas; Panny, Lorenz; Vercauteren, Frederik 6 2019 EPIC: efficient private image classification (or: learning from the masters). Zbl 1452.68073Makri, Eleftheria; Rotaru, Dragos; Smart, Nigel P.; Vercauteren, Frederik 1 2019 Saber: module-LWR based key exchange, CPA-secure encryption and CCA-secure KEM. Zbl 1423.94065D’Anvers, Jan-Pieter; Karmakar, Angshuman; Sinha Roy, Sujoy; Vercauteren, Frederik 19 2018 Computational problems in supersingular elliptic curve isogenies. Zbl 1400.81083Galbraith, Steven D.; Vercauteren, Frederik 12 2018 Constant-time discrete Gaussian sampling. Zbl 1454.94074Karmakar, Angshuman; Roy, Sujoy Sinha; Reparaz, Oscar; Vercauteren, Frederik; Verbauwhede, Ingrid 3 2018 Homomorphic \(\mathrm {SIM}^2\)D operations: single instruction much more data. Zbl 1420.94046Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 2 2018 Faster homomorphic function evaluation using non-integral base encoding. Zbl 1446.94107Bonte, Charlotte; Bootland, Carl; Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 5 2017 Privacy-friendly forecasting for the smart grid using homomorphic encryption and the group method of data handling. Zbl 1408.94928Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 2 2017 Provably weak instances of ring-LWE revisited. Zbl 1347.94025Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 12 2016 On error distributions in ring-based LWE. Zbl 1404.94048Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik 8 2016 Additively homomorphic ring-LWE masking. Zbl 1405.94084Reparaz, Oscar; de Clercq, Ruan; Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2016 Efficient finite field multiplication for isogeny based post quantum cryptography. Zbl 1409.94882Karmakar, Angshuman; Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2016 A masked ring-LWE implementation. Zbl 1405.94083Reparaz, Oscar; Sinha Roy, Sujoy; Vercauteren, Frederik; Verbauwhede, Ingrid 5 2015 Modular hardware architecture for somewhat homomorphic function evaluation. Zbl 1380.94125Sinha Roy, Sujoy; Järvinen, Kimmo; Vercauteren, Frederik; Dimitrov, Vassil; Verbauwhede, Ingrid 2 2015 Fully homomorphic SIMD operations. Zbl 1323.94140Smart, N. P.; Vercauteren, F. 44 2014 Compact ring-LWE cryptoprocessor. Zbl 1383.94040Roy, Sujoy Sinha; Vercauteren, Frederik; Mentens, Nele; Chen, Donald Donglong; Verbauwhede, Ingrid 6 2014 High precision discrete Gaussian sampling on FPGAs. Zbl 1362.94048Roy, Sujoy Sinha; Vercauteren, Frederik; Verbauwhede, Ingrid 4 2014 On CCA-secure somewhat homomorphic encryption. Zbl 1292.94106Loftus, Jake; May, Alexander; Smart, Nigel P.; Vercauteren, Frederik 12 2012 Fault attacks on pairing-based cryptography. Zbl 1267.94056El Mrabet, Nadia; Page, Dan; Vercauteren, Frederik 2 2012 Efficient hardware implementation of \(\mathbb F_p\)-arithmetic for pairing-friendly curves. Zbl 1365.65301Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid 1 2012 To infinity and beyond: combined attack on ECC using points of low order. Zbl 1321.94056Fan, Junfeng; Gierlichs, Benedikt; Vercauteren, Frederik 6 2011 Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024Castryck, Wouter; Vercauteren, Frederik 3 2011 Optimal pairings. Zbl 1366.94540Vercauteren, Frederik 54 2010 Fully homomorphic encryption with relatively small key and ciphertext sizes. Zbl 1281.94055Smart, N. P.; Vercauteren, F. 53 2010 Speeding up bipartite modular multiplication. Zbl 1245.11127Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid 3 2010 Parallel shortest lattice vector enumeration on graphics cards. Zbl 1284.68638Hermans, Jens; Schneider, Michael; Buchmann, Johannes; Vercauteren, Frederik; Preneel, Bart 3 2010 Faster interleaved modular multiplication based on Barrett and Montgomery reduction methods. Zbl 1367.65233Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2010 Speed records for NTRU. Zbl 1272.94035Hermans, Jens; Vercauteren, Frederik; Preneel, Bart 2 2010 Computational aspects of the expected differential probability of 4-round AES and AES-like ciphers. Zbl 1171.14017Daemen, Joan; Lamberger, Mario; Pramstaller, Norbert; Rijmen, Vincent; Vercauteren, Frederik 3 2009 Pairings on elliptic curves. Zbl 1156.14313Vercauteren, Frederik 2 2009 Faster \(\mathbb F_p\)-arithmetic for cryptographic pairings on Barreto-Naehrig curves. Zbl 1189.14031Fan, Junfeng; Vercauteren, Frederik; Verbauwhede, Ingrid 2 2009 Aspects of pairing inversion. Zbl 1189.14032Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik 9 2008 Computing zeta functions in families of \(C_{a,b}\) curves using deformation. Zbl 1189.11060Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik 3 2008 The hidden root problem. Zbl 1186.94474Vercauteren, Frederik 3 2008 Ate pairing on hyperelliptic curves. Zbl 1141.94356Granger, R.; Hess, F.; Oyono, R.; Thériault, N.; Vercauteren, F. 14 2007 Hyperelliptic pairings. Zbl 1151.11353Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik 9 2007 On computable isomorphisms in efficient asymmetric pairing-based systems. Zbl 1123.94009Smart, N. P.; Vercauteren, F. 7 2007 Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik 178 2006 The eta pairing revisited. Zbl 1189.11057Hess, Florian; Smart, Nigel P.; Vercauteren, Frederik 82 2006 The number field sieve in the medium prime case. Zbl 1161.11417Joux, Antoine; Lercier, Reynald; Smart, Nigel; Vercauteren, Frederik 26 2006 Computing zeta functions of nondegenerate curves. Zbl 1161.14302Castryck, W.; Denef, J.; Vercauteren, F. 24 2006 Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032Denef, Jan; Vercauteren, Frederik 17 2006 An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017Denef, Jan; Vercauteren, Frederik 15 2006 A comparison of MNT curves and supersingular curves. Zbl 1134.94377Page, D.; Smart, N. P.; Vercauteren, F. 13 2006 A fault attack on pairing-based cryptography. Zbl 1189.94046Page, Daniel; Vercauteren, Frederik 10 2006 Advances in elliptic curve cryptography. Zbl 1089.94018 58 2005 On the discrete logarithm problem on algebraic tori. Zbl 1145.94442Granger, R.; Vercauteren, F. 7 2005 An algebraic approach to NTRU (\(q = 2^{n}\)) via Witt vectors and overdetermined systems of nonlinear equations. Zbl 1116.94333Silverman, J. H.; Smart, N. P.; Vercauteren, F. 1 2005 The equivalence between the BHP and DLP for elliptic curves used in practical applications. Zbl 1093.14504Muzereau, A.; Smart, N. P.; Vercauteren, F. 4 2004 Function field sieve in characteristic three. Zbl 1125.11358Granger, 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 1023.14007Vercauteren, Frederik 14 2002 An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040Denef, Jan; Vercauteren, Frederik 4 2002 A memory efficient version of Satoh’s algorithm. Zbl 1009.11052Vercauteren, Frederik; Preneel, Bart; Vandewalle, Joos 9 2001 all cited Publications top 5 cited Publications all top 5 Cited by 1,052 Authors 19 Vercauteren, Frederik 18 Galbraith, Steven D. 16 Castryck, Wouter 13 Smart, Nigel Paul 11 Lauter, Kristin Estella 9 El Mrabet, Nadia 9 Gaudry, Pierrick 9 Tsyganov, Andreĭ Vladimirovich 8 Takagi, Tsuyoshi 8 Yao, David D. W. 7 Cheon, Jung Hee 7 Costello, Craig 7 Duquesne, Sylvain 7 Fouotsa, Emmanuel 7 Lee, Hyangsook 7 Lubicz, David 7 Shparlinski, Igor E. 7 Sutherland, Andrew V. 6 Halevi, Shai 6 Hubrechts, Hendrik 6 Naehrig, Michael 6 Rodríguez-Henríquez, Francisco 6 Zhang, Fangguo 5 Barbulescu, Razvan 5 Biasse, Jean-François 5 Bröker, Reinier 5 Cheng, Qi 5 Guillevic, Aurore 5 Lee, Eunjeong 5 Menezes, Alfred J. 5 Park, Cheol Min 5 Scholl, Peter 5 Stange, Katherine E. 5 Susilo, Willy 5 Wan, Daqing 5 Yasuda, Masaya 4 Albrecht, Martin R. 4 Aranha, Diego F. 4 Armknecht, Frederik 4 Azarderakhsh, Reza 4 Beullens, Ward 4 Chen, Hao 4 De Feo, Luca 4 Fan, Xinxin 4 Fouque, Pierre-Alain 4 Frey, Gerhard 4 Gentry, Craig 4 Gong, Guang 4 Han, Kyoohyung 4 Hisil, Huseyin 4 Iliashenko, Ilia 4 Jacobson, Michael John jun. 4 Joux, Antoine 4 Kanayama, Naoki 4 Katsumata, Shuichi 4 Kohel, David R. 4 Lai, Yi-Fu 4 Lange, Tanja 4 Lercier, Reynald 4 Okamoto, Eiji 4 Orsini, Emmanuela 4 Ozdemir, Enver 4 Paterson, Kenneth G. 4 Pedersen, Robi 4 Peikert, Chris 4 Petit, Christophe 4 Pintore, Federico 4 Plantard, Thomas 4 Ritzenthaler, Christophe 4 Robert, Damien 4 Rojas, J. Maurice 4 Takashima, Katsuyuki 4 Thomé, Emmanuel 4 Wesolowski, Benjamin 4 Xu, Maozhi 3 Abe, Masayuki 3 Alamati, Navid 3 Benits, Waldyr Dias jun. 3 Carpov, Sergiu 3 Chi-Domínguez, Jesús-Javier 3 Chillotti, Ilaria 3 D’Anvers, Jan-Pieter 3 Decru, Thomas 3 Dobson, Samuel 3 Dominguez Perez, Luis J. 3 Emura, Keita 3 Farashahi, Reza Rezaeian 3 Faugère, Jean-Charles 3 Fiore, Dario 3 Fontaine, Caroline 3 Ghammam, Loubna 3 Gorla, Elisa 3 Granger, Robert A. 3 Grémy, Laurent 3 Hanaoka, Goichiro 3 Harvey, David 3 Hong, Hoon 3 Imbert, Laurent 3 Kachisa, Ezekiel J. 3 Kim, Andrey ...and 952 more Authors all top 5 Cited in 90 Serials 34 Designs, Codes and Cryptography 19 Mathematics of Computation 19 Journal of Cryptology 17 Journal of Mathematical Cryptology 14 Finite Fields and their Applications 13 Applicable Algebra in Engineering, Communication and Computing 13 LMS Journal of Computation and Mathematics 11 Journal of Symbolic Computation 8 Information Processing Letters 8 Journal of Number Theory 8 Theoretical Computer Science 8 Advances in Mathematics of Communications 7 Information Sciences 7 Cryptography and Communications 5 Discrete Applied Mathematics 4 Journal of Mathematical Physics 4 Journal of Complexity 4 JSIAM Letters 3 Journal of Algebra 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Discrete Mathematical Sciences & Cryptography 3 Foundations of Computational Mathematics 3 International Journal of Number Theory 3 Mathematics in Computer Science 3 SIAM Journal on Applied Algebra and Geometry 3 Prikladnaya Diskretnaya Matematika 2 Theoretical and Mathematical Physics 2 Proceedings of the Japan Academy. Series A 2 International Journal of Computer Mathematics 2 The Ramanujan Journal 2 Journal of Applied Mathematics and Computing 2 Quantum Information Processing 2 Groups, Complexity, Cryptology 2 Research in Number Theory 1 Artificial Intelligence 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Theoretical 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 Duke Mathematical Journal 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 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Algorithmica 1 Discrete & Computational Geometry 1 Mathematical and Computer Modelling 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 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of Integer Sequences 1 Interdisciplinary Information Sciences (IIS) 1 Acta Mathematica Sinica. English Series 1 Fundamenta Informaticae 1 Entropy 1 Bulletin of the Brazilian Mathematical Society. New Series 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 Computer Science Review 1 Open Mathematics 1 AIMS Mathematics 1 Mathematical Foundations of Computing 1 Matematicheskie Voprosy Kriptografii 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 22 Fields 443 Information and communication theory, circuits (94-XX) 248 Number theory (11-XX) 224 Algebraic geometry (14-XX) 109 Computer science (68-XX) 56 Quantum theory (81-XX) 10 Commutative algebra (13-XX) 9 Mechanics of particles and systems (70-XX) 8 Combinatorics (05-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Numerical analysis (65-XX) 6 Field theory and polynomials (12-XX) 6 Associative rings and algebras (16-XX) 4 Convex and discrete geometry (52-XX) 3 Group theory and generalizations (20-XX) 3 Operations research, mathematical programming (90-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year