Gröbner bases for public key cryptography (original) (raw)

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Martin Kreuzer

Applicable Algebra in Engineering, Communication and Computing, 2006

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2015

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ILTRU: An NTRU-Like Public Key Cryptosystem Over Ideal Lattices

Amir Karbasi

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Cryptanalysis of a Public-key Cryptosystem Using Lattice Basis Reduction Algorithm, International Journal of Computer Science Issues, Vol. 10(5), pp. 110-117, 2012.

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PQC: R-Propping of Public-Key Cryptosystems Using Polynomials over Non-commutative Algebraic Extension Rings

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2020

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Block Lattice Polly Cracker: design, implementation and security

Massimo Caboara

posso.dm.unipi.it, 2008

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Reduction-Respecting Parameters for Lattice-Based Cryptosystems

Fletcher Gates

2018

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Algebraic Attacks From a Groebner Basis Perspective

Mohammad Aref

International Journal of …, 2010

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Cryptanalysis of a Public Key Cryptosystem Proposed at ACISP 2000

ِAmr Y O U S S E F Bakla

Lecture Notes in Computer Science, 2001

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Public Key Cryptosystem Based on Polynomial Composition

Maxrizal Maxrizal

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A Security Upgrade on the GGH Lattice-based Cryptosystem

Arif Mandangan

Sains Malaysiana

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How to Break Okamoto's Cryptosystem by Reducing Lattice Bases

Philippe Toffin

1988

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ElGamal Public-Key Cryptosystem Using Reducible Polynomials Over a Finite Field

Ramzi Haraty

2004

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Andrei Prasolov

ANNALI DELL'UNIVERSITA' DI FERRARA, 2007

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Public Quadratic Polynomial-Tuples for Efficient Signature-Verification and Message-Encryption

Tsutomu Matsumoto

Lecture Notes in Computer Science, 1988

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Broadcast Attacks against Lattice-Based Cryptosystems

Willy Susilo

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Talk Post-Quantum Cryptography lattice-based cryptosystems (2011)

Lars Wallenborn

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A public-key cryptosystem based on Diophantine equations

Gholamreza Jandaghi

International Journal of Pure and Applied Mathematics

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The Security of the Gabidulin Public Key Cryptosystem

Keith Gibson

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PairTRU: Pairwise Non-commutative Extension of The NTRU Public key Cryptosystem

Amir Karbasi

2018

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Toward A More Efficient Gröbner-based Algebraic Cryptanalysis

Babak Sadeghiyan

IACR Cryptology ePrint Archive, 2019

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New candidates for multivariate trapdoor functions and new multivariate public key encryption schemes

Jaiberth Porras Barrera

2013

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Cryptanalysis of the goldreich-goldwasser-halevi cryptosystem from crypto'97

Phong Nguyễn

Advances in Cryptology—CRYPTO'99, 1999

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A Practical Public Key Cryptosystem from Paillier and Rabin Schemes

David Galindo

2003

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On multivariate signature-only public key cryptosystems

Nicolas Courtois

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On Asymptotic Security Estimates In Xl and Gröbner Bases-Related Algebraic Cryptanalysis

Bo-yin Yang, Nicolas Courtois

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Comparative Study of Algebraic Attacks

Ahmed Abdel-Hafez

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Generalization of a Variant of Paillier's Public-Key Cryptosystem

P Vasudeva Reddy

2007

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G R ] 1 0 Ju l 2 02 0 GROUP RING BASED PUBLIC KEY CRYPTOSYSTEMS

gaurav mittal

2020

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