Cryptanalysis of the extension field cancellation cryptosystem
type: Item
instance of: scholarly article
title: Cryptanalysis of the extension field cancellation cryptosystem
zbMATH Open document ID: 1468.94396
author: Olive Chakraborty
author: Jean-Charles Faugère
author: Ludovic Perret
published in: Designs, Codes and Cryptography
publication date: 2021-06-23T00:00:00Z
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 81P94
zbMATH DE Number: 7362491
zbMATH Keywords: MQ
zbMATH Keywords: multivariate
zbMATH Keywords: quadratic
zbMATH Keywords: public-key
zbMATH Keywords: post-quantum
zbMATH Keywords: encryption
zbMATH Keywords: mixed-field
zbMATH Keywords: trapdoor
zbMATH Keywords: Gröbner basis
zbMATH Keywords: algebraic cryptanalysis
describes a project that uses: MutantXL
describes a project that uses: GeMSS
describes a project that uses: EFLASH
MaRDI profile type: Publication
full work available at URL: s10623-021-00873-9
OpenAlex ID: W3154464652
cites work: On the complexity of the \(F_5\) Gröbner basis algorithm
cites work: Efficient Implementations of Multivariate Quadratic Systems
cites work: Hybrid approach for solving multivariate systems over finite fields
cites work: Cryptanalysis of HFE, multi-HFE and variants for odd and even characteristic
cites work: Field lifting for smaller UOV public keys
cites work: Practical Key-Recovery for All Possible Parameters of SFLASH
cites work: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal
cites work: Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
cites work: Q3208084
cites work: Q3714165
cites work: Key recovery attack for ZHFE
cites work: EFLASH: a new multivariate encryption scheme
cites work: Q2724446
cites work: Rainbow, a New Multivariable Polynomial Signature Scheme
cites work: The singularity attack to the multivariate signature scheme HIMQ-3
cites work: Practical Cryptanalysis of SFLASH
cites work: A new efficient algorithm for computing Gröbner bases \((F_4)\)
cites work: Q4660688
cites work: Advances in Cryptology - CRYPTO 2003
cites work: Cryptanalysis of the Hidden Matrix Cryptosystem
cites work: An inequality for Hilbert series of graded algebras.
cites work: Q4198056
cites work: Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
cites work: Unbalanced Oil and Vinegar Signature Schemes
cites work: Q3325833
cites work: Q3803032
cites work: Code-based cryptography
cites work: Q4343439
cites work: Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): Two New Families of Asymmetric Algorithms
cites work: Q2724447
cites work: Design Principles for HFEv- Based Multivariate Signature Schemes
cites work: Lattice-Based Cryptography
cites work: Q4941844
cites work: Properties of the Discrete Differential with Cryptographic Applications
cites work: Extension Field Cancellation: A New Central Trapdoor for Multivariate Quadratic Systems
cites work: Key recovery attack for all parameters of \(\mathrm{HFE}^-\)
cites work: On the security and key generation of the ZHFE encryption scheme
DOI: 10.1007/S10623-021-00873-9
description: scientific article; zbMATH DE number 7362491