Joseph H. Silverman

发表

The arithmetic of elliptic curves

Joseph H. Silverman, J. Silverman, 1986, Graduate texts in mathematics.

Computing the canonical height on K3 surfaces

Joseph H. Silverman, Gregory S. Call, J. Silverman, 1996, Math. Comput..

IEEE P1363.1 Draft 10: Draft Standard for Public Key Cryptographic Techniques Based on Hard Problems over Lattices.

Nick Howgrave-Graham, Joseph H. Silverman, Philip S. Hirschhorn, 2008 .

Elementary Problems: E3384-E3390

Solomon W. Golomb, Douglas B. West, Joseph H. Silverman, 1990 .

Additional Topics in Cryptography

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2014 .

Protecting NTRU Against Chosen Ciphertext and Reaction Attacks

Joseph H. Silverman, Jeffrey Hoffstein, 2000 .

Amicable Pairs and Aliquot Cycles for Elliptic Curves

Joseph H. Silverman, Katherine E. Stange, J. Silverman, 2009, Exp. Math..

Choosing Parameter Sets forwithand

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2005, CT-RSA.

Analysis of the Xedni Calculus Attack

Andreas Stein, Michael J. Jacobson, Joseph H. Silverman, 2000, Des. Codes Cryptogr..

NSS: An NTRU Lattice-Based Signature Scheme

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2001, EUROCRYPT.

Choosing Parameters for NTRUEncrypt

William Whyte, Joseph H. Silverman, Zhenfei Zhang, 2017, CT-RSA.

Polynomial Rings and Efficient Public Key Authentication II

Joseph H. Silverman, Jeffrey Hoffstein, 2001 .

Exceptional Units and Numbers of Small Mahler Measure

Joseph H. Silverman, 1995, Exp. Math..

Elliptic Curve Discrete Logarithms and the Index Calculus

Joe Suzuki, Joseph H. Silverman, J. Suzuki, 1998, ASIACRYPT.

Modified Parameter Attacks: Practical Attacks against CCA2 Secure Cryptosystems and Countermeasures

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2004, IACR Cryptol. ePrint Arch..

A signature scheme from the finite field isomorphism problem

William Whyte, Joseph H. Silverman, Zhenfei Zhang, 2018, IACR Cryptol. ePrint Arch..

Dimension Reduction Methods for Convolution Modular Lattices

Joseph H. Silverman, Alexander May, J. Silverman, 2001, CaLC.

Fully Homomorphic Encryption from the Finite Field Isomorphism Problem

Berk Sunar, William Whyte, Joseph H. Silverman, 2017, Public Key Cryptography.

Random small Hamming weight products with applications to cryptography

Joseph H. Silverman, Jeffrey Hoffstein, 2003, Discret. Appl. Math..

Transcript Secure Signatures Based on Modular Lattices

William Whyte, Joseph H. Silverman, Jill Pipher, 2014, PQCrypto.

Timing Attacks on NTRUEncrypt Via Variation in the Number of Hash Calls

William Whyte, Joseph H. Silverman, J. Silverman, 2007, CT-RSA.

Computing canonical heights with little (or no) factorization

Joseph H. Silverman, J. Silverman, 1997, Math. Comput..

Fast Multiplication in Finite Fields GF(2N)

Joseph H. Silverman, J. Silverman, 1999, CHES.

The Impact of Decryption Failures on the Security of NTRU Encryption

David Pointcheval, William Whyte, Phong Q. Nguyen, 2003, CRYPTO.

Computing rational points on rank 1 elliptic curves via L-series and canonical heights

Joseph H. Silverman, J. Silverman, 1999, Math. Comput..

The Xedni Calculus and the Elliptic Curve Discrete Logarithm Problem

Joseph H. Silverman, J. Silverman, 2000, Des. Codes Cryptogr..

On the Linear Complexity of the Naor–Reingold Pseudo-random Function from Elliptic Curves

Igor E. Shparlinski, Joseph H. Silverman, J. Silverman, 2001, Des. Codes Cryptogr..

A Survey of Local and Global Pairings on Elliptic Curves and Abelian Varieties

Joseph H. Silverman, 2010, Pairing.

NAEP: Provable Security in the Presence of Decryption Failures

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2003, IACR Cryptol. ePrint Arch..

Optimizations for NTRU

Joseph H. Silverman, Jeffrey Hoffstein, 2001 .

Lattices, cryptography, and the NTRU public key cryptosystem

Joseph H. Silverman, 2000, Unusual Applications of Number Theory.

NTRU in Constrained Devices

Joseph H. Silverman, Adam J. Elbirt, Daniel V. Bailey, 2001, CHES.

Lattices and Cryptography

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2014 .

PASS-Encrypt: a public key cryptosystem based on partial evaluation of polynomials

Joseph H. Silverman, Jeffrey Hoffstein, 2015, Des. Codes Cryptogr..

Problems: 10480-10486

David M. Bradley, Frank W. Schmidt, Joseph H. Silverman, 1995 .

Revised Papers from the International Conference on Cryptography and Lattices

Joseph H. Silverman, 2001 .

Dynamics in Dimension Greater Than One

Joseph H. Silverman, 2007 .

Cryptography and Lattices

Joseph H. Silverman, J. Silverman, 2001, Lecture Notes in Computer Science.

On the distribution of integer points on curves of genus zero

Joseph H. Silverman, J. Silverman, 2000, Theor. Comput. Sci..

Practical Signatures from the Partial Fourier Recovery Problem

William Whyte, Joseph H. Silverman, Jill Pipher, 2014, IACR Cryptol. ePrint Arch..

MiniPASS: Authentication and Digital Signatures in a Constrained Environment

Joseph H. Silverman, Jeffrey Hoffstein, 2000, CHES.

Performance Improvements and a Baseline Parameter Generation Algorithm for NTRUSign

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2005, IACR Cryptol. ePrint Arch..

Commutative NTRU: Pseudo-code implementation

Joseph H. Silverman, 1997 .

An Introduction to Cryptography

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2014 .

MMSAT: A Scheme for Multimessage Multiuser Signature Aggregation

Berk Sunar, Joseph H. Silverman, Jeffrey Hoffstein, 2020, IACR Cryptol. ePrint Arch..

Lifting and Elliptic Curve Discrete Logarithms

Joseph H. Silverman, J. Silverman, 2009, Selected Areas in Cryptography.

Discrete Logarithms and Diffie Hellman

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2014 .

An Algebraic Approach to NTRU (q = 2n) via Witt Vectors and Overdetermined Systems of Nonlinear Equations

Frederik Vercauteren, Nigel P. Smart, Joseph H. Silverman, 2004, SCN.

Elliptic curves

Joseph H. Silverman, J. Silverman, 2013, Handbook of Finite Fields.

NTRUSIGN: Digital Signatures Using the NTRU Lattice

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2003, CT-RSA.

Local-global aspects of (hyper)elliptic curves over (in)finite fields

Joseph H. Silverman, 2010, Adv. Math. Commun..

Choosing Parameter Sets for NTRUEncrypt with NAEP and SVES-3

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2005, IACR Cryptol. ePrint Arch..

DA-Encrypt: Homomorphic Encryption via Non-Archimedean Diophantine Approximation - Preliminary Report

William Whyte, Joseph H. Silverman, Zhenfei Zhang, 2015, IACR Cryptol. ePrint Arch..

NTRU: A Ring-Based Public Key Cryptosystem

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 1998, ANTS.

A Lehmer-type height lower bound for abelian surfaces over function fields

Joseph H. Silverman, Nicole R. Looper, J. Silverman, 2021, 2108.09577.

Lower bound for the canonical height on elliptic curves

Joseph H. Silverman, J. Silverman, 1981 .

Algorithmic Aspects of Elliptic Curves

Joseph H. Silverman, J. Silverman, 2009 .

Sur le nombre de points de torsion rationnels sur une courbe elliptique

Joseph H. Silverman, Marc Hindry, J. Silverman, 1999 .

Diophantine Geometry: An Introduction

Joseph H. Silverman, Marc Hindry, J. Silverman, 2000, The Mathematical Gazette.

A Friendly Introduction to Number Theory

Joseph H. Silverman, J. Silverman, 1996 .

Uniform bounds for the number of solutions to Yn = f(X)

Jan-Hendrik Evertse, Joseph H. Silverman, J. Silverman, 1986, Mathematical Proceedings of the Cambridge Philosophical Society.

A quantitative version of Siegel's theorem: integral points on elliptic curves and Catalan curves.

Joseph H. Silverman, J. Silverman, 1987 .

The space of rational maps on $\mathbb{P}^1$

Joseph H. Silverman, J. Silverman, 1998 .

Wieferich's criterion and the abc-conjecture

Joseph H. Silverman, J. Silverman, 1988 .

The canonical height and integral points on elliptic curves

Joseph H. Silverman, J. Silverman, M. Hindry, 1988 .

Heights and the specialization map for families of abelian varieties.

Joseph H. Silverman, J. Silverman, 1983 .

The Neron-Tate height on elliptic curves

Joseph H. Silverman, J. Silverman, 1982 .

Title: Plaintext Awareness and the Ntru Pkcs

Joseph H. Silverman, 1998 .

Integer points, Diophantine approximation, and iteration of rational maps

Joseph H. Silverman, J. Silverman, 1993 .

The S -unit equation over function fields

Joseph H. Silverman, 1984 .

Primitive divisors in arithmetic dynamics

Joseph H. Silverman, Patrick Ingram, 2009, Mathematical Proceedings of the Cambridge Philosophical Society.

Version 2 Title : Enhanced Encoding and Verification Methods for the NTRU Signature Scheme

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2001 .

Computing heights on elliptic curves

Joseph H. Silverman, J. Silverman, 1988 .

On a Dynamical Brauer-Manin Obstruction

Joseph H. Silverman, Liang-Chung Hsia, 2008 .

Integer points and the rank of Thue elliptic curves

Joseph H. Silverman, 1982 .

The field of definition for dynamical systems on $\mathbb {P}^1$

Joseph H. Silverman, 1995 .

The difference between the Weil height and the canonical height on elliptic curves

Joseph H. Silverman, J. Silverman, 1990 .

Elliptic Curves and Cryptography

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2014 .

Divisibility of the Specialization Map for Families of Elliptic Curves

Joseph H. Silverman, J. Silverman, 1985 .

Wraps, Gaps, and Lattice Constants

Joseph H. Silverman, 2001 .

A Local-Global Criterion for Dynamics on P^1

Joseph H. Silverman, Jos'e Felipe Voloch, 2008 .

Weierstrass equations and the minimal discriminant of an elliptic curve

Joseph H. Silverman, J. Silverman, 1984 .

Cryptography and Lattices: International Conference, CaLC 2001, Providence, RI, USA, March 29-30, 2001. Revised Papers

Joseph H. Silverman, CaLC, 2001 .

Divisibility Sequences and Powers of Algebraic Integers

Joseph H. Silverman, J. Silverman, 2006 .

The space of rational maps on P^1

Joseph H. Silverman, 1996 .

Rings of Low Multiplicative Complexity

Joseph H. Silverman, 2000 .

Rational periodic points of rational functions

Joseph H. Silverman, Patrick Morton, J. Silverman, 1994 .

Periodic points, multiplicities, and dynamical units.

Joseph H. Silverman, Patrick Morton, J. Silverman, 1995 .

Terms in elliptic divisibility sequences divisible by their indices

Joseph H. Silverman, Katherine E. Stange, 2011 .

Arithmetic distance functions and height functions in diophantine geometry

Joseph H. Silverman, J. Silverman, 1987 .