Phong Q. Nguyên

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All published works
Action Title Year Authors
+ On counterexamples to the Mertens conjecture 2024 Seungki Kim
Phong Q. Nguyễn
+ PDF Chat Slide Reduction, Revisited—Filling the Gaps in SVP Approximation 2020 Divesh Aggarwal
Jianwei Li
Phong Q. Nguyễn
Noah Stephens-Davidowitz
+ Slide Reduction, Revisited---Filling the Gaps in SVP Approximation 2019 Divesh Aggarwal
Jianwei Li
Phong Q. Nguyễn
Noah Stephens-Davidowitz
+ Slide Reduction, Revisited---Filling the Gaps in SVP Approximation 2019 Divesh Aggarwal
Jianwei Li
Phong Q. Nguyễn
Noah Stephens-Davidowitz
+ Lower Bounds on Lattice Enumeration with Extreme Pruning (from Crypto 2018) 2018 Yoshinori Aono
Phong Q. Nguyên
Takenobu Seito
Junji Shikata
+ PDF Chat Random Sampling Revisited: Lattice Enumeration with Discrete Pruning 2017 Yoshinori Aono
Phong Q. Nguyễn
+ PDF Chat Counting Co-Cyclic Lattices 2016 Phong Q. Nguyễn
Igor E. Shparlinski
+ PDF Chat Structural Lattice Reduction: Generalized Worst-Case to Average-Case Reductions and Homomorphic Cryptosystems 2016 Nicolas Gama
Malika Izabachène
Phong Q. Nguyễn
Xiang Xie
+ PDF Chat Counting Co-Cyclic Lattices 2015 Phong Q. Nguyễn
Igor E. Shparlinski
+ Counting Co-Cyclic Lattices 2015 Phong Q. Nguyễn
Igor E. Shparlinski
+ The Algorithmic Revolution in Geometry of Numbers 2014 Phong Q. Nguyễn
+ PDF Chat Approximating the densest sublattice from Rankin’s inequality 2014 Jianwei Li
Phong Q. Nguyễn
+ Structural Lattice Reduction: Generalized Worst-Case to Average-Case Reductions and Homomorphic Cryptosystems 2014 Nicolas Gama
Malika Izabachène
Phong Q. Nguyễn
Xiang Xie
+ Hermite’s Constant and Lattice Algorithms 2009 Phong Q. Nguyên
+ None 2003 Phong Q. Nguyễn
Igor E. Shparlinski
+ The Two Faces of Lattices in Cryptology 2001 Phong Q. Nguyễn
Jacques Stern
+ PDF Chat Noisy Polynomial Interpolation and Noisy Chinese Remaindering 2000 Daniel Bleichenbacher
Phong Q. Nguyễn
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Factoring polynomials with rational coefficients 1982 A. K. Lenstra
H. W. Lenstra
László Lovász
10
+ Improved algorithms for integer programming and related lattice problems 1983 Ravi Kannan
6
+ On Lovász’ lattice reduction and the nearest lattice point problem 1986 László Babai
4
+ Lattice points in high-dimensional spheres 1990 J. E. Mazo
Andrew Odlyzko
3
+ Sur les formes quadratiques 1873 A. Korkine
G. Zolotareff
3
+ Lectures on the Geometry of Numbers 1989 Carl Ludwig Siegel
K. Chandrasekharan
3
+ The Two Faces of Lattices in Cryptology 2001 Phong Q. Nguyễn
Jacques Stern
3
+ Geometry of Numbers 1987 Peter M. Gruber
3
+ PDF Chat Extraits de lettres de M. Ch. Hermite à M. Jacobi sur différents objects de la théorie des nombres. (Continuation). 1850 Ch. Hermite
3
+ PDF Chat Lectures on the geometry of numbers 1990 K. Chandrasekharan
3
+ A Note on Square‐Free Numbers in Arithmetic Progressions 1975 C. Hooley
2
+ A Course in Computational Algebraic Number Theory 1993 Henri Cohen
2
+ Perfect Lattices in Euclidean Spaces 2002 Jacques Martinet
2
+ PDF Chat Volumes of symmetric spaces via lattice points 2006 Henri Gillet
Daniel R. Grayson
2
+ On Positive Definite Quadratic Forms 1953 R. A. Rankin
2
+ The Cohen–Lenstra heuristic: Methodology and results 2010 Johannes Lengler
2
+ Geometrie der Zahlen 1896 H. Minkowski
2
+ Symmetric Bilinear Forms 1973 John Milnor
Dale Husemöller
2
+ Perfect Lattices in Euclidean Spaces 2003 Jacques Martinet
2
+ Disquisitiones arithmeticae 1801 Carl Friedrich Gauß
2
+ Improved Analysis of Kannan’s Shortest Lattice Vector Algorithm 2007 Guillaume Hanrot
Damien Stehlé
2
+ PDF Chat On lattices, learning with errors, random linear codes, and cryptography 2009 Oded Regev
2
+ PDF Chat Enumerative Lattice Algorithms in any Norm Via M-ellipsoid Coverings 2011 Daniel Dadush
Chris Peikert
Santosh Vempala
2
+ PDF Chat Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice 1990 Jeffrey C. Lagarias
H. W. Lenstra
C. P. Schnorr
2
+ Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height 1968 Wolfgang M. Schmidt
2
+ The Complexity of Some Lattice Problems 2000 Jin‐Yi Cai
2
+ PDF Chat Sur les formes quadratiques positives quaternaires 1872 A. Korkine
G. Zolotareff
2
+ Observation on the Minimum of a Positive Quadratic Form in Eight Variables 1944 L. J. Mordell
2
+ PDF Chat The Insecurity of the Digital Signature Algorithm with Partially Known Nonces 2002 Nguyen
Igor E. Shparlinski
2
+ Three-dimensional exponential sums with monomials 2006 O. Robert
Patrick Sargos
2
+ PDF Chat Approximating the densest sublattice from Rankin’s inequality 2014 Jianwei Li
Phong Q. Nguyễn
2
+ PDF Chat Practical Lattice Basis Sampling Reduction 2006 Johannes Buchmann
Christoph Ludwig
1
+ Worst-Case Hermite-Korkine-Zolotarev Reduced Lattice Bases 2008 Guillaume Hanrot
Damien Stehlé
1
+ The Mertens Conjecture Revisited 2006 Tadej Kotnik
Herman te Riele
1
+ PDF Chat Quasi-Monte Carlo methods and pseudo-random numbers 1978 Harald Niederreiter
1
+ PDF Chat Approximate Integer Common Divisors 2001 Nick Howgrave-Graham
1
+ PDF Chat The distribution of the summatory function of the Möbius function 2004 Nathan Ng
1
+ Radon transforms and packings 2001 Michael I. Boguslavsky
1
+ The development of the number field sieve 1993 1
+ The Cohen-Lenstra Heuristic for Finite Abelian Groups 2009 Johannes Lengler
1
+ On Two Conjectures in the Theory of Numbers 1942 A. E. Ingham
1
+ A Mean Value Theorem in Geometry of Numbers 1945 Carl Ludwig Siegel
1
+ �ber die kleinste quadratfreie Zahl einer arithmetischen Reihe 1960 P. Erd�s
1
+ PDF Chat Über bestimmte Integrale mit der PrymschenQ-Funktion 1906 Niels Nielsen
1
+ None 1991 Noam D. Elkies
1
+ PDF Chat Structural Lattice Reduction: Generalized Worst-Case to Average-Case Reductions and Homomorphic Cryptosystems 2016 Nicolas Gama
Malika Izabachène
Phong Q. Nguyễn
Xiang Xie
1
+ PDF Chat Computations of the Mertens function and improved bounds on the Mertens conjecture 2017 Gregory B. Hurst
1
+ PDF Chat Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic 2017 Fredrik Johansson
1
+ Primitive sets in a lattice. 2008 Spyros S. Magliveras
Tran van Trung
Wandi Wei
1
+ On some arithmetical results in the geometry of numbers 1935 L. J. Mordell
1