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Progress in Multivariate Cryptography: Systematic Review, Challenges, and Research Directions
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/j.1538-7305.1967.tb03174.xopenalex-snapshot
Factoring Polynomials Over Finite Fields
inferredcites →https://doi.org/10.1006/jcss.1998.1608openalex-snapshot
The Computational Complexity of Some Problems of Linear Algebra
inferredcites →https://doi.org/10.1007/11496137_12openalex-snapshot
Rainbow, a New Multivariable Polynomial Signature Scheme
inferredcites →https://doi.org/10.1007/3-540-48329-2_37openalex-snapshot
Attacks on the Birational Permutation Signature Schemes
inferredcites →https://doi.org/10.1007/978-1-0716-0987-3openalex-snapshot
Multivariate Public Key Cryptosystems
inferredcites →https://doi.org/10.1007/978-3-030-01446-9_8openalex-snapshot
Multivariate Encryption Schemes Based on the Constrained MQ Problem
inferredcites →https://doi.org/10.1007/978-3-030-25510-7_10openalex-snapshot
On the Complexity of “Superdetermined” Minrank Instances
inferredcites →https://doi.org/10.1007/978-3-030-44223-1_17openalex-snapshot
Combinatorial Rank Attacks Against the Rectangular Simple Matrix Encryption Scheme
inferredcites →https://doi.org/10.1007/978-3-030-44223-1_18openalex-snapshot
A Structural Attack on Block-Anti-Circulant UOV at SAC 2019
inferredcites →https://doi.org/10.1007/978-3-030-44223-1_22openalex-snapshot
Multivariate Encryption Schemes Based on Polynomial Equations over Real Numbers
inferredcites →https://doi.org/10.1007/978-3-030-61078-4_24openalex-snapshot
A Complete Cryptanalysis of the Post-Quantum Multivariate Signature Scheme Himq-3
inferredcites →https://doi.org/10.1007/978-3-030-77870-5_12openalex-snapshot
The Nested Subset Differential Attack
inferredcites →https://doi.org/10.1007/978-3-030-99277-4_17openalex-snapshot
MAYO: Practical Post-quantum Signatures from Oil-and-Vinegar Maps
inferredcites →https://doi.org/10.1007/978-3-031-15979-4_16openalex-snapshot
Breaking Rainbow Takes a Weekend on a Laptop
inferredcites →https://doi.org/10.1007/978-3-319-11659-4_11openalex-snapshot
An Asymptotically Optimal Structural Attack on the ABC Multivariate Encryption Scheme
inferredcites →https://doi.org/10.1007/978-3-319-11659-4_14openalex-snapshot
ZHFE, a New Multivariate Public Key Encryption Scheme
inferredcites →https://doi.org/10.1007/978-3-319-11659-4_4openalex-snapshot
Differential Properties of the HFE Cryptosystem
inferredcites →https://doi.org/10.1007/978-3-319-27239-9_3openalex-snapshot
MI-T-HFE, A New Multivariate Signature Scheme
inferredcites →https://doi.org/10.1007/978-3-319-29360-8_11openalex-snapshot
On the Differential Security of the HFEv- Signature Primitive
inferredcites →https://doi.org/10.1007/978-3-319-29360-8_13openalex-snapshot
Security Analysis and Key Modification for ZHFE
inferredcites →https://doi.org/10.1007/978-3-319-49445-6_17openalex-snapshot
Solving Binary $$\mathcal {MQ}$$ with Grover’s Algorithm
inferredcites →https://doi.org/10.1007/978-3-319-55589-8_13openalex-snapshot
Revisiting the Efficient Key Generation of ZHFE
inferredcites →https://doi.org/10.1007/978-3-319-59879-6_12openalex-snapshot
HMFEv - An Efficient Multivariate Signature Scheme
inferredcites →https://doi.org/10.1007/978-3-319-59879-6_16openalex-snapshot
Key Recovery Attack for All Parameters of HFE-
inferredcites →https://doi.org/10.1007/978-3-319-59879-6_17openalex-snapshot
Key Recovery Attack for ZHFE
inferredcites →https://doi.org/10.1007/978-3-319-70972-7_25openalex-snapshot
A Practical Multivariate Blind Signature Scheme
inferredcites →https://doi.org/10.1007/978-3-319-79063-3_18openalex-snapshot
Improved Cryptanalysis of HFEv- via Projection
inferredcites →https://doi.org/10.1007/978-3-319-79063-3_19openalex-snapshot
HFERP - A New Multivariate Encryption Scheme
inferredcites →https://doi.org/10.1007/978-3-540-68914-0_15openalex-snapshot
New Differential-Algebraic Attacks and Reparametrization of Rainbow
inferredcites →https://doi.org/10.1007/978-3-642-21031-0_14openalex-snapshot
A Novel Group Signature Scheme Based on MPKC
inferredcites →https://doi.org/10.1007/978-3-642-38616-9_4openalex-snapshot
Degree of Regularity for HFEv and HFEv-
inferredcites →https://doi.org/10.1007/978-981-10-5065-7_2openalex-snapshot
Multivariate Public Key Cryptosystems
inferredcites →https://doi.org/10.1007/s00200-013-0190-3openalex-snapshot
A multivariate based threshold ring signature scheme
inferredcites →https://doi.org/10.1007/s10623-012-9617-2openalex-snapshot
Cryptanalysis of HFE, multi-HFE and variants for odd and even characteristic
inferredcites →https://doi.org/10.1016/j.camwa.2011.09.052openalex-snapshot
Ring signature scheme based on multivariate public key cryptosystems
inferredcites →https://doi.org/10.1016/j.csi.2020.103489openalex-snapshot
An efficient multivariate threshold ring signature scheme
inferredcites →https://doi.org/10.1016/j.ffa.2015.06.001openalex-snapshot
Simple Matrix – A Multivariate Public Key Cryptosystem (MPKC) for Encryption
inferredcites →https://doi.org/10.1016/j.ffa.2020.101778openalex-snapshot
A multivariate cryptosystem inspired by random linear codes
inferredcites →https://doi.org/10.1016/j.jisa.2020.102512openalex-snapshot
Post-quantum digital signature scheme based on multivariate cubic problem
inferredcites →https://doi.org/10.1016/j.jisa.2021.102776openalex-snapshot
A secure and efficient group signature scheme based on multivariate public key cryptography
inferredcites →https://doi.org/10.1016/j.jsc.2017.08.002openalex-snapshot
On the last fall degree of zero-dimensional Weil descent systems
inferredcites →https://doi.org/10.1016/j.tcs.2019.12.032openalex-snapshot
A new encryption scheme for multivariate quadratic systems
inferredcites →https://doi.org/10.1016/s0022-4049(99)00005-5openalex-snapshot
A new efficient algorithm for computing Gröbner bases (F4)
inferredcites →https://doi.org/10.1090/conm/487/09528openalex-snapshot
Breaking the Akiyama-Goto cryptosystem
inferredcites →https://doi.org/10.1093/comjnl/bxz128openalex-snapshot
A Multivariate Blind Ring Signature Scheme
inferredcites →https://doi.org/10.1109/msp.2017.3151328openalex-snapshot
Current State of Multivariate Cryptography
inferredcites →https://doi.org/10.1109/sfcs.1994.365700openalex-snapshot
Algorithms for quantum computation: discrete logarithms and factoring
inferredcites →https://doi.org/10.1145/780506.780516openalex-snapshot
A new efficient algorithm for computing Gröbner bases without reduction to zero ( F 5 )
inferredcites →https://doi.org/10.1186/s40736-015-0014-4openalex-snapshot
A public key cryptosystem based on diophantine equations of degree increasing type
inferredcites →https://doi.org/10.15446/recolma.v49n1.54163openalex-snapshot
New Candidates for Multivariate Trapdoor Functions
inferredcites →https://doi.org/10.3390/cryptography3010008openalex-snapshot
An Improved Identity-Based Multivariate Signature Scheme Based on Rainbow
inferredcites →https://doi.org/10.3934/amc.2019023openalex-snapshot
Efficient public-key operation in multivariate schemes
inferredcites →https://doi.org/10.5220/0010580500002998openalex-snapshot
Storage Friendly Provably Secure Multivariate Identity-Based Signature from Isomorphism of Polynomials Problem
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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