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Ducas, Léo

Co-Author Distance
Author ID:
ducas.leo Recent zbMATH articles by "Ducas, Léo"
Published as:
Ducas, Léo
External Links:
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Documents Indexed:

48 Publications since 2010

Software Indexed:
7 Packages
alltop 5

Co-Authors

5single-authored
7 van Woerden, Wessel P. J.
4 Wesolowski, Benjamin
4 Yu, Yang
3 Albrecht, Martin R.
3 Cramer, Ronald John Fitzgerald
3 de Boer, Koen
3 Postlethwaite, Eamonn W.
3 Prest, Thomas
2 Debris-Alazard, Thomas
2 Durmus, Alain
2 Gibbons, Shane
2 Kirshanova, Elena
2 Laarhoven, Thijs
2 Lyubashevsky, Vadim
2 Micciancio, Daniele
2 Nguyen, Phong Q.
2 Pellet-Mary, Alice
2 Pulles, Ludo N.
2 Stevens, Marc
1 Bai, Shi
1 Becker, Anja
1 Benhamouda, Fabrice
1 Blazy, Olivier
1 Bonnoron, Guillaume
1 Bruin, Peter
1 Dachman-Soled, Dana
1 de Wolf, Ronald Michiel
1 Espitau, Thomas
1 Esser, Andre
1 Etinski, Simona
1 Fehr, Serge
1 Fillinger, Max
1 Galbraith, Steven D.
1 Gama, Nicolas
1 Gong, Huijing
1 Güneysu, Tim
1 Herold, Gottfried
1 Jeffery, Stacey
1 Lepoint, Tancrède
1 Peikert, Chris
1 Pierrot, Cécile
1 Plançon, Maxime
1 Pöppelmann, Thomas
1 Quach, Willy
1 Regev, Oded
1 Resch, Nicolas
1 Rossi, Mélissa
1 Stehlé, Damien
1 Tillich, Jean-Pierre

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 1,115 times in620 DocumentsCited by ▼Year ▼
Lattice signatures and bimodal Gaussians. Zbl 1310.94141
Ducas, Léo;Durmus, Alain;Lepoint, Tancrède;Lyubashevsky, Vadim
2013
FHEW: bootstrapping homomorphic encryption in less than a second. Zbl 1370.94509
Ducas, Léo;Micciancio, Daniele
2015
New directions in nearest neighbor searching with applications to lattice sieving. Zbl 1410.68093
Becker, Anja;Ducas, Léo;Gama, Nicolas;Laarhoven, Thijs
2016
Efficient identity-based encryption over NTRU lattices. Zbl 1317.94103
Ducas, Léo;Lyubashevsky, Vadim;Prest, Thomas
2014
A subfield lattice attack on overstretched NTRU assumptions. Cryptanalysis of some FHE and graded encoding schemes. Zbl 1351.94019
Albrecht, Martin;Bai, Shi;Ducas, Léo
2016
Recovering short generators of principal ideals in cyclotomic rings. Zbl 1371.94630
Cramer, Ronald;Ducas, Léo;Peikert, Chris;Regev, Oded
2016
The general sieve kernel and new records in lattice reduction. Zbl 1509.94054
Albrecht, Martin R.;Ducas, Léo;Herold, Gottfried;Kirshanova, Elena;Postlethwaite, Eamonn W.;Stevens, Marc
2019
LWE with side information: attacks and concrete security estimation. Zbl 1504.94128
Dachman-Soled, Dana;Ducas, Léo;Gong, Huijing;Rossi, Mélissa
2020
Shortest vector from lattice sieving: a few dimensions for free. Zbl 1423.94069
Ducas, Léo
2018
Short Stickelberger class relations and application to Ideal-SVP. Zbl 1411.94057
Cramer, Ronald;Ducas, Léo;Wesolowski, Benjamin
2017
Improved short lattice signatures in the standard model. Zbl 1345.94058
Ducas, Léo;Micciancio, Daniele
2014
Learning a zonotope and more: cryptanalysis of ntrusign countermeasures. Zbl 1292.94059
Ducas, Léo;Nguyen, Phong Q.
2012
Ring-LWE in polynomial rings. Zbl 1290.94067
Ducas, Léo;Durmus, Alain
2012
NTRU fatigue: How stretched is overstretched? Zbl 1514.94079
Ducas, Léo;van Woerden, Wessel
2021
Fast Fourier orthogonalization. Zbl 1365.65105
Ducas, Léo;Prest, Thomas
2016
Sanitization of FHE ciphertexts. Zbl 1384.94057
Ducas, Léo;Stehlé, Damien
2016
Enhanced lattice-based signatures on reconfigurable hardware. Zbl 1383.94039
Pöppelmann, Thomas;Ducas, Léo;Güneysu, Tim
2014
On the lattice isomorphism problem, quadratic forms, remarkable lattices, and cryptography. Zbl 1502.94033
Ducas, Léo;van Woerden, Wessel
2022
Advanced lattice sieving on GPUs, with tensor cores. Zbl 1479.94161
Ducas, Léo;Stevens, Marc;van Woerden, Wessel
2021
Hash proof systems over lattices revisited. Zbl 1400.94119
Benhamouda, Fabrice;Blazy, Olivier;Ducas, Léo;Quach, Willy
2018
Hawk: module LIP makes lattice signatures fast, compact and simple. Zbl 1519.94220
Ducas, Léo;Postlethwaite, Eamonn W.;Pulles, Ludo N.;van Woerden, Wessel
2023
Second order statistical behavior of LLL and BKZ. Zbl 1384.94111
Yu, Yang;Ducas, Léo
2018
Faster Gaussian lattice sampling using lazy floating-point arithmetic. Zbl 1292.94058
Ducas, Léo;Nguyen, Phong Q.
2012
Anonymity from asymmetry: new constructions for anonymous HIBE. Zbl 1272.94027
Ducas, Léo
2010
Lattice attacks on NTRU and LWE: a history of refinements. Zbl 1483.94030
Albrecht, Martin R.;Ducas, Léo
2021
Learning strikes again: the case of the DRS signature scheme. Zbl 1446.94164
Yu, Yang;Ducas, Léo
2018
On the shortness of vectors to be found by the ideal-SVP quantum algorithm. Zbl 1456.94074
Ducas, Léo;Plançon, Maxime;Wesolowski, Benjamin
2019
Large FHE gates from tensored homomorphic accumulator. Zbl 1423.94054
Bonnoron, Guillaume;Ducas, Léo;Fillinger, Max
2018
Integral matrix Gram root and lattice Gaussian sampling without floats. Zbl 1492.94092
Ducas, Léo;Galbraith, Steven;Prest, Thomas;Yu, Yang
2020
Mildly short vectors in cyclotomic ideal lattices in quantum polynomial time. Zbl 1499.68122
Cramer, Ronald;Ducas, Léo;Wesolowski, Benjamin
2021
Random self-reducibility of ideal-SVP via Arakelov random walks. Zbl 1504.94130
de Boer, Koen;Ducas, Léo;Pellet-Mary, Alice;Wesolowski, Benjamin
2020
Attacks on the AJPS Mersenne based cryptosystem. Zbl 1425.94054
de Boer, Koen;Ducas, Léo;Jeffery, Stacey;de Wolf, Ronald
2018
Does the dual-sieve attack on learning with errors even work? Zbl 1532.94042
Ducas, Léo;Pulles, Ludo N.
2023
The randomized slicer for CVPP: sharper, faster, smaller, batchier. Zbl 1531.68165
Ducas, Léo;Laarhoven, Thijs;van Woerden, Wessel P. J.
2020
The closest vector problem in tensored root lattices of type A and in their duals. Zbl 1381.11057
Ducas, Léo;van Woerden, Wessel P. J.
2018
Finding short integer solutions when the modulus is small. Zbl 1531.94046
Ducas, Léo;Espitau, Thomas;Postlethwaite, Eamonn W.
2023
Polynomial time bounded distance decoding near Minkowski’s bound in discrete logarithm lattices. Zbl 1409.94943
Ducas, Léo;Pierrot, Cécile
2019
Hull attacks on the lattice isomorphism problem. Zbl 1527.94033
Ducas, Léo;Gibbons, Shane
2023
An algorithmic reduction theory for binary codes: LLL and more. Zbl 1497.94158
Debris-Alazard, Thomas;Ducas, Léo;van Woerden, Wessel P. J.
2022
Advances on quantum cryptanalysis of ideal lattices. Zbl 1418.94044
Ducas, Léo
2017
Learning strikes again: the case of the DRS signature scheme. Zbl 1466.94045
Ducas, Léo;Yu, Yang
2021
On the statistical leak of the GGH13 multilinear map and some variants. Zbl 1446.94129
Ducas, Léo;Pellet-Mary, Alice
2018
On the quantum complexity of the continuous hidden subgroup problem. Zbl 1513.81028
de Boer, Koen;Ducas, Léo;Fehr, Serge
2020
Estimating the hidden overheads in the BDGL lattice sieving algorithm. Zbl 1517.94097
Ducas, Léo
2022
Smoothing codes and lattices: systematic study and new bounds. Zbl 1547.94350
Debris-Alazard, Thomas;Ducas, Léo;Resch, Nicolas;Tillich, Jean-Pierre
2023
Provable lattice reduction of \(\mathbb{Z}^n\) with blocksize \(n/2\). Zbl 1535.11097
Ducas, Léo
2024
Provable lattice reduction of \(\mathbb{Z}^n\) with blocksize \(n/2\). Zbl 1535.11097
Ducas, Léo
2024
Hawk: module LIP makes lattice signatures fast, compact and simple. Zbl 1519.94220
Ducas, Léo;Postlethwaite, Eamonn W.;Pulles, Ludo N.;van Woerden, Wessel
2023
Does the dual-sieve attack on learning with errors even work? Zbl 1532.94042
Ducas, Léo;Pulles, Ludo N.
2023
Finding short integer solutions when the modulus is small. Zbl 1531.94046
Ducas, Léo;Espitau, Thomas;Postlethwaite, Eamonn W.
2023
Hull attacks on the lattice isomorphism problem. Zbl 1527.94033
Ducas, Léo;Gibbons, Shane
2023
Smoothing codes and lattices: systematic study and new bounds. Zbl 1547.94350
Debris-Alazard, Thomas;Ducas, Léo;Resch, Nicolas;Tillich, Jean-Pierre
2023
On the lattice isomorphism problem, quadratic forms, remarkable lattices, and cryptography. Zbl 1502.94033
Ducas, Léo;van Woerden, Wessel
2022
An algorithmic reduction theory for binary codes: LLL and more. Zbl 1497.94158
Debris-Alazard, Thomas;Ducas, Léo;van Woerden, Wessel P. J.
2022
Estimating the hidden overheads in the BDGL lattice sieving algorithm. Zbl 1517.94097
Ducas, Léo
2022
NTRU fatigue: How stretched is overstretched? Zbl 1514.94079
Ducas, Léo;van Woerden, Wessel
2021
Advanced lattice sieving on GPUs, with tensor cores. Zbl 1479.94161
Ducas, Léo;Stevens, Marc;van Woerden, Wessel
2021
Lattice attacks on NTRU and LWE: a history of refinements. Zbl 1483.94030
Albrecht, Martin R.;Ducas, Léo
2021
Mildly short vectors in cyclotomic ideal lattices in quantum polynomial time. Zbl 1499.68122
Cramer, Ronald;Ducas, Léo;Wesolowski, Benjamin
2021
Learning strikes again: the case of the DRS signature scheme. Zbl 1466.94045
Ducas, Léo;Yu, Yang
2021
LWE with side information: attacks and concrete security estimation. Zbl 1504.94128
Dachman-Soled, Dana;Ducas, Léo;Gong, Huijing;Rossi, Mélissa
2020
Integral matrix Gram root and lattice Gaussian sampling without floats. Zbl 1492.94092
Ducas, Léo;Galbraith, Steven;Prest, Thomas;Yu, Yang
2020
Random self-reducibility of ideal-SVP via Arakelov random walks. Zbl 1504.94130
de Boer, Koen;Ducas, Léo;Pellet-Mary, Alice;Wesolowski, Benjamin
2020
The randomized slicer for CVPP: sharper, faster, smaller, batchier. Zbl 1531.68165
Ducas, Léo;Laarhoven, Thijs;van Woerden, Wessel P. J.
2020
On the quantum complexity of the continuous hidden subgroup problem. Zbl 1513.81028
de Boer, Koen;Ducas, Léo;Fehr, Serge
2020
The general sieve kernel and new records in lattice reduction. Zbl 1509.94054
Albrecht, Martin R.;Ducas, Léo;Herold, Gottfried;Kirshanova, Elena;Postlethwaite, Eamonn W.;Stevens, Marc
2019
On the shortness of vectors to be found by the ideal-SVP quantum algorithm. Zbl 1456.94074
Ducas, Léo;Plançon, Maxime;Wesolowski, Benjamin
2019
Polynomial time bounded distance decoding near Minkowski’s bound in discrete logarithm lattices. Zbl 1409.94943
Ducas, Léo;Pierrot, Cécile
2019
Shortest vector from lattice sieving: a few dimensions for free. Zbl 1423.94069
Ducas, Léo
2018
Hash proof systems over lattices revisited. Zbl 1400.94119
Benhamouda, Fabrice;Blazy, Olivier;Ducas, Léo;Quach, Willy
2018
Second order statistical behavior of LLL and BKZ. Zbl 1384.94111
Yu, Yang;Ducas, Léo
2018
Learning strikes again: the case of the DRS signature scheme. Zbl 1446.94164
Yu, Yang;Ducas, Léo
2018
Large FHE gates from tensored homomorphic accumulator. Zbl 1423.94054
Bonnoron, Guillaume;Ducas, Léo;Fillinger, Max
2018
Attacks on the AJPS Mersenne based cryptosystem. Zbl 1425.94054
de Boer, Koen;Ducas, Léo;Jeffery, Stacey;de Wolf, Ronald
2018
The closest vector problem in tensored root lattices of type A and in their duals. Zbl 1381.11057
Ducas, Léo;van Woerden, Wessel P. J.
2018
On the statistical leak of the GGH13 multilinear map and some variants. Zbl 1446.94129
Ducas, Léo;Pellet-Mary, Alice
2018
Short Stickelberger class relations and application to Ideal-SVP. Zbl 1411.94057
Cramer, Ronald;Ducas, Léo;Wesolowski, Benjamin
2017
Advances on quantum cryptanalysis of ideal lattices. Zbl 1418.94044
Ducas, Léo
2017
New directions in nearest neighbor searching with applications to lattice sieving. Zbl 1410.68093
Becker, Anja;Ducas, Léo;Gama, Nicolas;Laarhoven, Thijs
2016
A subfield lattice attack on overstretched NTRU assumptions. Cryptanalysis of some FHE and graded encoding schemes. Zbl 1351.94019
Albrecht, Martin;Bai, Shi;Ducas, Léo
2016
Recovering short generators of principal ideals in cyclotomic rings. Zbl 1371.94630
Cramer, Ronald;Ducas, Léo;Peikert, Chris;Regev, Oded
2016
Fast Fourier orthogonalization. Zbl 1365.65105
Ducas, Léo;Prest, Thomas
2016
Sanitization of FHE ciphertexts. Zbl 1384.94057
Ducas, Léo;Stehlé, Damien
2016
FHEW: bootstrapping homomorphic encryption in less than a second. Zbl 1370.94509
Ducas, Léo;Micciancio, Daniele
2015
Efficient identity-based encryption over NTRU lattices. Zbl 1317.94103
Ducas, Léo;Lyubashevsky, Vadim;Prest, Thomas
2014
Improved short lattice signatures in the standard model. Zbl 1345.94058
Ducas, Léo;Micciancio, Daniele
2014
Enhanced lattice-based signatures on reconfigurable hardware. Zbl 1383.94039
Pöppelmann, Thomas;Ducas, Léo;Güneysu, Tim
2014
Lattice signatures and bimodal Gaussians. Zbl 1310.94141
Ducas, Léo;Durmus, Alain;Lepoint, Tancrède;Lyubashevsky, Vadim
2013
Learning a zonotope and more: cryptanalysis of ntrusign countermeasures. Zbl 1292.94059
Ducas, Léo;Nguyen, Phong Q.
2012
Ring-LWE in polynomial rings. Zbl 1290.94067
Ducas, Léo;Durmus, Alain
2012
Faster Gaussian lattice sampling using lazy floating-point arithmetic. Zbl 1292.94058
Ducas, Léo;Nguyen, Phong Q.
2012
Anonymity from asymmetry: new constructions for anonymous HIBE. Zbl 1272.94027
Ducas, Léo
2010
alltop 5

Cited by 1,059 Authors

23 Ducas, Léo
17 Lyubashevsky, Vadim
15 Albrecht, Martin R.
15 Micciancio, Daniele
14 Espitau, Thomas
14 Stehlé, Damien
14 Yu, Yang
13 Kirshanova, Elena
13 Roux-Langlois, Adeline
12 Tibouchi, Mehdi
12 Yasuda, Masaya
11 Fouque, Pierre-Alain
11 Laarhoven, Thijs
10 Bai, Shi
10 Cheon, Jung Hee
10 Pellet-Mary, Alice
10 Susilo, Willy
9 May, Alexander
9 Song, Yongsoo
9 Wallet, Alexandre
9 Wang, Huaxiong
8 Pan, Yanbin
8 Prest, Thomas
8 Sakzad, Amin
8 Seiler, Gregor
8 Steinfeld, Ron
8 Takagi, Tsuyoshi
8 Wen, Weiqiang
8 Zhang, Zhenfei
7 Boudgoust, Katharina
7 Chillotti, Ilaria
7 Postlethwaite, Eamonn W.
7 Stephens-Davidowitz, Noah
7 Walter, Michael
6 Aggarwal, Divesh
6 Bindel, Nina
6 Cao, Jinzheng
6 Cheng, Qingfeng
6 Das, Dipayan
6 Esser, Andre
6 Genise, Nicholas
6 Guo, Qian
6 Halevi, Shai
6 Jeudy, Corentin
6 Kirchner, Paul
6 Lu, Xianhui
6 Mårtensson, Erik
6 Nguyen, Khoa
6 Nguyen, Ngoc Khanh
6 van Woerden, Wessel P. J.
6 Wang, Kunpeng
6 Zhandry, Mark
5 Au, Man Ho
5 Biasse, Jean-François
5 Brakerski, Zvika
5 Chen, Hao
5 Chen, Yilei
5 Döttling, Nico
5 Hoffstein, Jeffrey
5 Izabachène, Malika
5 Kim, Andrey
5 Kim, Miran
5 Krämer, Juliane
5 Lauter, Kristin Estella
5 Ling, Cong
5 Méaux, Pierrick
5 Nakamura, Satoshi
5 Peikert, Chris
5 Plantard, Thomas
5 Rossi, Mélissa
5 Wang, Baocang
5 Wesolowski, Benjamin
5 Zhang, Jiang
4 Benhamouda, Fabrice
4 Blanco-Chacón, Iván
4 Blazy, Olivier
4 Bootle, Jonathan
4 Buchmann, Johannes A.
4 Budroni, Alessandro
4 Ding, Jintai
4 Duong, Dung Hoang
4 Gama, Nicolas
4 Garg, Sanjam
4 Gentry, Craig
4 Georgieva, Mariya
4 Han, Kyoohyung
4 Johansson, Thomas
4 Joux, Antoine
4 Lee, Changmin
4 Lee, Hyangsook
4 Li, Jianwei
4 Libert, Benoît
4 Ling, San
4 Liu, Feng-Hao
4 Liu, Zeyu
4 Malavolta, Giulio
4 Mendelsohn, Andrew
4 Ngo, Tran-Vu
4 Pereira, Hilder Vitor Lima
4 Plançon, Maxime
...and 959 more Authors
alltop 5

Cited in 53 Serials

28 Designs, Codes and Cryptography
22 Journal of Cryptology
18 Journal of Mathematical Cryptology
12 Theoretical Computer Science
8 Information Sciences
4 Discrete Applied Mathematics
4 Cybernetics and Systems Analysis
4 Advances in Mathematics of Communications
3 Information Processing Letters
3 Applicable Algebra in Engineering, Communication and Computing
3 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
2 Journal of Number Theory
2 SIAM Journal on Computing
2 Chinese Annals of Mathematics. Series B
2 SIAM Journal on Discrete Mathematics
2 Japan Journal of Industrial and Applied Mathematics
2 Finite Fields and their Applications
2 Mathematical Problems in Engineering
2 Theory of Computing Systems
2 Cryptography and Communications
2 SIAM Journal on Applied Algebra and Geometry
1 Discrete Mathematics
1 International Journal of Theoretical Physics
1 Mathematics of Computation
1 Computing
1 Gaṇita
1 Journal of Algebra
1 Journal of the Korean Mathematical Society
1 Journal of Complexity
1 Information and Computation
1 International Journal of Foundations of Computer Science
1 Journal de Théorie des Nombres de Bordeaux
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Informatica (Vilnius)
1 Journal of Discrete Mathematical Sciences & Cryptography
1 LMS Journal of Computation and Mathematics
1 Fundamenta Informaticae
1 Journal of Systems Science and Complexity
1 Quantum Information Processing
1 Journal of Algebra and its Applications
1 Science in China. Series F
1 International Journal of Number Theory
1 Advances and Applications in Discrete Mathematics
1 Discrete Mathematics, Algorithms and Applications
1 Groups, Complexity, Cryptology
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Symmetry
1 ACM Transactions on Algorithms
1 Communications in Mathematics
1 Open Mathematics
1 La Matematica
1 Journal of Computational Algebra
alltop 5

Cited in 21 Fields

571 Information and communication theory, circuits (94-XX)
168 Computer science (68-XX)
104 Quantum theory (81-XX)
98 Number theory (11-XX)
10 Algebraic geometry (14-XX)
6 Statistics (62-XX)
6 Numerical analysis (65-XX)
5 Combinatorics (05-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Group theory and generalizations (20-XX)
4 Probability theory and stochastic processes (60-XX)
3 Commutative algebra (13-XX)
3 Convex and discrete geometry (52-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Systems theory; control (93-XX)

Citations by Year

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