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Small CRT-exponent RSA revisited (Q2010590)

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scientific article; zbMATH DE number 7137725

Language	Label	Description	Also known as
English	Small CRT-exponent RSA revisited	scientific article; zbMATH DE number 7137725

Statements

scholarly article

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Small CRT-exponent RSA revisited (English)

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Atsushi Takayasu

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Journal of Cryptology

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publication date

27 November 2019

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zbMATH Keywords

CRT-RSA

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cryptanalysis

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Coppersmith's method

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lattices

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LLL algorithm

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s00145-018-9282-3

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Minkowski Sum Based Lattice Construction for Multivariate Simultaneous Coppersmith’s Technique and Applications to RSA

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The Magma algebra system. I: The user language

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Cryptanalysis of RSA with private key d less than N/sup 0.292/

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Advances in Cryptology - CRYPTO 2003

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Public Key Cryptography - PKC 2006

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Inferring Sequences Produced by Nonlinear Pseudorandom Number Generators Using Coppersmith’s Methods

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Finding a Small Root of a Bivariate Integer Equation; Factoring with High Bits Known

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Finding a Small Root of a Univariate Modular Equation

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Small solutions to polynomial equations, and low exponent RSA vulnerabilities

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Advances in Cryptology - EUROCRYPT 2004

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A New Partial Key Exposure Attack on Multi-power RSA

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Information Security and Privacy

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Attacking RSA with a Composed Decryption Exponent Using Unravelled Linearization

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Partial Key Exposure Attacks on Takagi’s Variant of RSA

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Attacking Power Generators Using Unravelled Linearization: When Do We Output Too Much?

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Maximizing Small Root Bounds by Linearization and Applications to Small Secret Exponent RSA

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A Strategy for Finding Roots of Multivariate Polynomials with New Applications in Attacking RSA Variants

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A Polynomial Time Attack on RSA with Private CRT-Exponents Smaller Than N 0.073

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On Optimal Bounds of Small Inverse Problems and Approximate GCD Problems with Higher Degree

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Factoring polynomials with rational coefficients

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Factoring Multi-power RSA Modulus N = p r q with Partial Known Bits

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New Partial Key Exposure Attacks on CRT-RSA with Large Public Exponents

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Solving Linear Equations Modulo Unknown Divisors: Revisited

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Using LLL-Reduction for Solving RSA and Factorization Problems

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An LLL Algorithm with Quadratic Complexity

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Partial prime factor exposure attacks on RSA and its Takagi's variant

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Cryptanalysis of Variants of RSA with Multiple Small Secret Exponents

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Improved Results on Cryptanalysis of Prime Power RSA

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An Improved Analysis on Three Variants of the RSA Cryptosystem

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Cryptanalysis of Dual RSA

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Small secret exponent attack on RSA variant with modulus \(N=p^rq\)

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Revisiting prime power RSA

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Improved Partial Key Exposure Attacks on RSA by Guessing a Few Bits of One of the Prime Factors

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Cryptanalysis of RSA with Multiple Small Secret Exponents

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Partial Key Exposure Attacks on RSA: Achieving the Boneh-Durfee Bound

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Partial Key Exposure Attacks on CRT-RSA: Better Cryptanalysis to Full Size Encryption Exponents

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How to Generalize RSA Cryptanalyses

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Partial key exposure attacks on CRT-RSA: general improvement for the exposed least significant bits

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Partial Key Exposure Attacks on RSA with Multiple Exponent Pairs

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A Tool Kit for Partial Key Exposure Attacks on RSA

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Small CRT-Exponent RSA Revisited

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Cryptanalysis of short RSA secret exponents

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00145-018-9282-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:2010590

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