On the interpolation of bivariate polynomials related to the Diffie-Hellman mapping (original) (raw)

Lower bounds on weight and degree of bivariate polynomials related to the Diffie-Hellman mapping

Arne Winterhof

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Polynomial Interpolation of Cryptographic Functions Related to the Diffie-Hellman Problem

Arne Winterhof

2003

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A note on the interpolation of the Diffie-Hellman mapping

Arne Winterhof

Bulletin of the Australian Mathematical Society, 2001

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Interpolation of the Elliptic Curve Diffie-Hellman Mapping

Arne Winterhof

Lecture Notes in Computer Science, 2003

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Polynomial interpolation of cryptographic functions related to Diffie–Hellman and discrete logarithm problem

Arne Winterhof

Discrete Applied Mathematics, 2006

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Polynomial representations of the Diffie-Hellman mapping

Edwin El-Mahassni

Bulletin of the Australian Mathematical Society, 2001

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A Polynomial Representation of the Diffie-Hellman Mapping

Arne Winterhof

Applicable Algebra in Engineering, Communication and Computing, 2002

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Polynomial approximation of bilinear Diffie–Hellman maps

Ian Blake

Finite Fields and Their Applications, 2008

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Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm

Arne Winterhof

Lecture Notes in Computer Science, 2002

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On the key exchange and multivariate encryption with nonlinear polynomial maps of stable degree

Aneta Wroblewska

Annales UMCS, Informatica, 2013

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On the key exchange with nonlinear polynomial

Aneta Wroblewska

2014

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On the Index of Diffie-Hellman Mapping

Arne Winterhof

2020

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Noisy Polynomial Interpolation and Noisy Chinese Remaindering

Phong Nguyen

Theory and Application of Cryptographic Techniques, 2000

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On the key exchange with nonlinear polynomial maps of degree 4

Aneta Wroblewska

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Secure Message Transmission using Lagrange Polynomial Interpolation and Huffman Coding

Siva Ranjani

International Journal of Computer Applications, 2012

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Polynomial Interpolation and Identity Testing from High Powers Over Finite Fields

Miklos Santha

Algorithmica, 2017

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On the index of the Diffie–Hellman mapping

Arne Winterhof

arXiv: Combinatorics, 2020

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A note on complete polynomials over finite fields and their applications in cryptography

Amela Muratović-Ribić

Finite Fields and Their Applications, 2014

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Differential-algebraic algorithms for the isomorphism of polynomials problem

Pierre-alain Fouque

2009

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On the bit security of the Diffie-Hellman key

Ian Blake

Applicable Algebra in Engineering, Communication and Computing, 2006

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Some decision problems for polynomial mappings

Dorothy Bollman

Theoretical Computer Science, 1978

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Interpolation of Functions Related to the Integer Factoring Problem

Clemens Adelmann, Arne Winterhof

Lecture Notes in Computer Science, 2006

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Interpolation of the discrete logarithm in by Boolean functions and by polynomials in several variables modulo a divisor of q−1

Arne Winterhof

Discrete Applied Mathematics, 2003

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Interpolation of the discrete logarithm in F q by Boolean functions and by polynomials in several variables modulo a divisor of q - 1

Arne Winterhof

Discrete Applied Mathematics, 2003

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Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields

Arne Winterhof

Lecture Notes in Computer Science, 2009

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Using sparse interpolation to solve multivariate diophantine equations

Michael Monagan

ACM Communications in Computer Algebra, 2015

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Transformations of Cryptographic Schemes Through Interpolation Techniques

Michael Vrahatis

Computation, Cryptography, and Network Security, 2015

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On Sparse Polynomial Interpolation over Finite Fields ∗

Michael Monagan

2010

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Inverting bijective polynomial maps over finite fields

Giovanna Matera

2006 IEEE Information Theory Workshop, 2006

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Improved algorithms for isomorphisms of polynomials

Nicolas Courtois

Lecture Notes in Computer Science, 1998

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On the key expansion of D(n, K)-based cryptographical algorithm

Aneta Wroblewska

Annales UMCS, Informatica, 2011

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Noisy interpolation of sparse polynomials in finite fields

Arne Winterhof

Applicable Algebra in Engineering, Communication and Computing, 2005

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On Polynomial Approximation of the Discrete Logarithm and the Diffie—Hellman Mapping

Don Coppersmith

Journal of Cryptology, 2000

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Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions

Arne Winterhof

Electronic Notes in Discrete Mathematics, 2001

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Some results concerning cryptographically significant mappings over GF(2 n )

Enes Pasalic

Designs, Codes and Cryptography, 2010

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