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Integer factoring and compositeness witnesses

Journal of mathematical cryptology, 2020-01, Vol.14 (1), p.346-358

2020

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Preface for the Number-Theoretic Methods in Cryptology conferences

Journal of mathematical cryptology, 2020-01, Vol.14 (1), p.393-396

2020

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On oracle factoring of integers

Journal of Complexity, 2023-06, Vol.76, p.101741, Article 101741

2023

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Elliptic-Curve Factorization and Witnesses

Computational Science – ICCS 2024, p.287-301

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Factoring n and the Number of Points of Kummer Hypersurfaces mod n

Number-Theoretic Methods in Cryptology, p.163-177

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On reducing factorization to the discrete logarithm problem modulo a composite

Computational complexity, 2012-09, Vol.21 (3), p.421-429

2012

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Computational Differential Privacy from Lattice-Based Cryptography

Number-Theoretic Methods in Cryptology, p.121-141

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Explicit Formula for Gram-Schmidt Vectors in LLL with Deep Insertions and Its Applications

Number-Theoretic Methods in Cryptology, p.142-160

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Multi-secret Sharing Scheme for Level-Ordered Access Structures

Number-Theoretic Methods in Cryptology, p.267-278

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The Measures of Pseudorandomness and the NIST Tests

Number-Theoretic Methods in Cryptology, p.197-216

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Explicit Bound for the Prime Ideal Theorem in Residue Classes

Number-Theoretic Methods in Cryptology, p.48-68

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Short Solutions to Nonlinear Systems of Equations

Number-Theoretic Methods in Cryptology, p.71-90

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The Cube Attack on Courtois Toy Cipher

Number-Theoretic Methods in Cryptology, p.241-253

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On the Possibility of Transformation of Multidimensional ECDLP into 1-Dimensional ECDLP

Number-Theoretic Methods in Cryptology, p.37-47

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Generation and Implementation of Cryptographically Strong Elliptic Curves

Number-Theoretic Methods in Cryptology, p.25-36

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Commutativity, Associativity, and Public Key Cryptography

Number-Theoretic Methods in Cryptology, p.104-117

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Near Butson-Hadamard Matrices and Nonlinear Boolean Functions

Number-Theoretic Methods in Cryptology, p.254-266

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Detection of Primes in the Set of Residues of Divisors of a Given Number

Number-Theoretic Methods in Cryptology, p.178-194

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A Crossbred Algorithm for Solving Boolean Polynomial Systems

Number-Theoretic Methods in Cryptology, p.3-21

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A Novel RSA-Like Cryptosystem Based on a Generalization of the Rédei Rational Functions

Number-Theoretic Methods in Cryptology, p.91-103

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On the Cross-Combined Measure of Families of Binary Lattices and Sequences

Number-Theoretic Methods in Cryptology, p.217-238

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Threshold Signatures in Dynamic Groups

Future Generation Communication and Networking (FGCN 2007), 2007, Vol.1, p.32-37

2007

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Integer factoring and compositeness witnesses

Preface for the Number-Theoretic Methods in Cryptology conferences

On oracle factoring of integers

Elliptic-Curve Factorization and Witnesses

Factoring n and the Number of Points of Kummer Hypersurfaces mod n

On reducing factorization to the discrete logarithm problem modulo a composite

Computational Differential Privacy from Lattice-Based Cryptography

Explicit Formula for Gram-Schmidt Vectors in LLL with Deep Insertions and Its Applications

Multi-secret Sharing Scheme for Level-Ordered Access Structures

The Measures of Pseudorandomness and the NIST Tests

Explicit Bound for the Prime Ideal Theorem in Residue Classes

Short Solutions to Nonlinear Systems of Equations

The Cube Attack on Courtois Toy Cipher

On the Possibility of Transformation of Multidimensional ECDLP into 1-Dimensional ECDLP

Generation and Implementation of Cryptographically Strong Elliptic Curves

Commutativity, Associativity, and Public Key Cryptography

Near Butson-Hadamard Matrices and Nonlinear Boolean Functions

Detection of Primes in the Set of Residues of Divisors of a Given Number

A Crossbred Algorithm for Solving Boolean Polynomial Systems

A Novel RSA-Like Cryptosystem Based on a Generalization of the Rédei Rational Functions

On the Cross-Combined Measure of Families of Binary Lattices and Sequences

Threshold Signatures in Dynamic Groups

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