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On finding small solutions of modular multivariate polynomial equations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-46766-1_20openalex-snapshot
New Public-Key Schemes Based on Elliptic Curves over the Ring Zn
inferredcites →https://doi.org/10.1007/3-540-68339-9_1openalex-snapshot
Low-Exponent RSA with Related Messages
inferredcites →https://doi.org/10.1007/3-540-68339-9_14openalex-snapshot
Finding a Small Root of a Univariate Modular Equation
inferredcites →https://doi.org/10.1007/bf01457454openalex-snapshot
Factoring polynomials with rational coefficients
inferredcites →https://doi.org/10.1007/bfb0024458openalex-snapshot
Finding small roots of univariate modular equations revisited
inferredcites →https://doi.org/10.1007/bfb0052239openalex-snapshot
On the security of the KMOV public key cryptosystem
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0866109-5openalex-snapshot
Elliptic Curve Cryptosystems
inferredcites →https://doi.org/10.1145/357980.358017openalex-snapshot
A method for obtaining digital signatures and public-key cryptosystems
inferredcites →https://doi.org/10.1145/359340.359342openalex-snapshot
A method for obtaining digital signatures and public-key cryptosystems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/10722028_4openalex-snapshot
Lattice Reduction in Cryptology: An Update
inferred← citeshttps://doi.org/10.1007/3-540-44448-3_2openalex-snapshot
Cryptanalysis of the RSA Schemes with Short Secret Exponent from Asiacrypt ’99
inferred← citeshttps://doi.org/10.1007/3-540-44670-2_12openalex-snapshot
The Two Faces of Lattices in Cryptology
inferred← citeshttps://doi.org/10.1007/3-540-44670-2_2openalex-snapshot
Low Secret Exponent RSA Revisited
inferred← citeshttps://doi.org/10.1007/3-540-44670-2_3openalex-snapshot
Finding Small Solutions to Small Degree Polynomials
inferred← citeshttps://doi.org/10.1007/3-540-45708-9_16openalex-snapshot
Cryptanalysis of Unbalanced RSA with Small CRT-Exponent
inferred← citeshttps://doi.org/10.1007/3-540-48910-x_1openalex-snapshot
Cryptanalysis of RSA with Private Key d Less than N 0.292
inferred← citeshttps://doi.org/10.1007/3-540-49162-7_16openalex-snapshot
The Effectiveness of Lattice Attacks Against Low-Exponent RSA
inferred← citeshttps://doi.org/10.1007/978-0-387-35528-3_16openalex-snapshot
Biometrics, Access Control, Smart Cards: A Not So Simple Combination
inferred← citeshttps://doi.org/10.1007/978-3-031-22972-5_12openalex-snapshot
Instantiability of Classical Random-Oracle-Model Encryption Transforms
inferred← citeshttps://doi.org/10.1007/978-3-031-31368-4_6openalex-snapshot
The Hidden Number Problem with Small Unknown Multipliers: Cryptanalyzing MEGA in Six Queries and Other Applications
inferred← citeshttps://doi.org/10.1007/978-3-031-57718-5_12openalex-snapshot
On the Possibility of a Backdoor in the Micali-Schnorr Generator
inferred← citeshttps://doi.org/10.1007/978-3-031-68388-6_8openalex-snapshot
Improved Algorithms for Finding Fixed-Degree Isogenies Between Supersingular Elliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-319-45744-4_13openalex-snapshot
Privately Outsourcing Exponentiation to a Single Server: Cryptanalysis and Optimal Constructions
inferred← citeshttps://doi.org/10.1007/978-3-319-76620-1_5openalex-snapshot
Short Solutions to Nonlinear Systems of Equations
inferred← citeshttps://doi.org/10.1007/978-3-540-24676-3_29openalex-snapshot
Finding Small Roots of Bivariate Integer Polynomial Equations Revisited
inferred← citeshttps://doi.org/10.1007/978-3-540-45146-4_2openalex-snapshot
New Partial Key Exposure Attacks on RSA
inferred← citeshttps://doi.org/10.1007/978-3-540-74143-5_22openalex-snapshot
A Polynomial Time Attack on RSA with Private CRT-Exponents Smaller Than N 0.073
inferred← citeshttps://doi.org/10.1007/978-3-642-02295-1_10openalex-snapshot
Using LLL-Reduction for Solving RSA and Factorization Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-10366-7_29openalex-snapshot
Attacking Power Generators Using Unravelled Linearization: When Do We Output Too Much?
inferred← citeshttps://doi.org/10.1007/978-3-662-53887-6_28openalex-snapshot
Cryptographic Applications of Capacity Theory: On the Optimality of Coppersmith’s Method for Univariate Polynomials
inferred← citeshttps://doi.org/10.1007/s00200-021-00521-8openalex-snapshot
Deterministic factoring with oracles
inferred← citeshttps://doi.org/10.1007/s00453-020-00750-2openalex-snapshot
Privately Outsourcing Exponentiation to a Single Server: Cryptanalysis and Optimal Constructions
inferred← citeshttps://doi.org/10.1007/s11432-009-0014-zopenalex-snapshot
Cryptanalysis of RSA for a special case with d >e
inferred← citeshttps://doi.org/10.1016/j.amc.2004.10.082openalex-snapshot
Cryptanalysis of large RSA exponent by using the LLL algorithm
inferred← citeshttps://doi.org/10.1109/18.850673openalex-snapshot
Cryptanalysis of RSA with private key d less than N/sup 0.292/
inferred← citeshttps://doi.org/10.1360/zf2009-39-8-815openalex-snapshot
对RSA公钥密码系统在d>e时的一种特殊情形的密码学分析
inferred← citeshttps://doi.org/10.1515/jmc-2025-0020openalex-snapshot
Distribution of powers modulo p and security of RSA
inferred← citeshttps://doi.org/10.18642/jmsaa_7100121630openalex-snapshot
A STUDY OF SOME METHODS FOR FINDING SMALL ZEROS OF POLYNOMIAL CONGRUENCES APPLIED TO RSA
inferred← citeshttps://doi.org/10.2140/obs.2013.1.271openalex-snapshot
Approximate common divisors via lattices
inferred← citeshttps://doi.org/10.23939/mmc2024.04.1135openalex-snapshot
An attack on ELG-LUC3-ECC cryptosystem using Hastad's and Julta's theorem
inferred← citeshttps://doi.org/10.4230/lipics.fsttcs.2021.17openalex-snapshot
Approximating the Number of Prime Factors Given an Oracle to Euler’s Totient Function
inferred← citeshttps://doi.org/10.48550/arxiv.1605.00987openalex-snapshot
A practical attack to Bouftass's cryptosystem
inferred← citeshttps://doi.org/10.70675/856726a5z3d79z450cz8920z5ae6dc87f10eopenalex-snapshot
Pseudo-random generators and pseudo-random functions : cryptanalysis and complexity measures
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