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A Zero-Dimensional Gröbner Basis for AES-128

https://doi.org/10.1007/11799313_6
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jsco.1993.1051openalex-snapshot
Efficient Computation of Zero-dimensional Gröbner Bases by Change of Ordering
inferredcites →https://doi.org/10.1006/jsco.1996.0145openalex-snapshot
Converting Bases with the Gröbner Walk
inferredcites →https://doi.org/10.1006/jsco.1998.0276openalex-snapshot
On the Complexity of Gröbner Bases Conversion
inferredcites →https://doi.org/10.1007/11593447openalex-snapshot
Advances in Cryptology-- ASIACRYPT 2005 : 11th International Conference on the Theory and Application of Cryptology and Information Security, Chennai, India, December 4-8, 2005 : proceedings
inferredcites →https://doi.org/10.1007/11593447_18openalex-snapshot
An Analysis of the XSL Algorithm
inferredcites →https://doi.org/10.1007/11605805_20openalex-snapshot
Block Ciphers Sensitive to Gröbner Basis Attacks
inferredcites →https://doi.org/10.1007/3-540-09519-5_52openalex-snapshot
A criterion for detecting unnecessary reductions in the construction of Gröbner-bases
inferredcites →https://doi.org/10.1007/3-540-36178-2_17openalex-snapshot
Cryptanalysis of Block Ciphers with Overdefined Systems of Equations
inferredcites →https://doi.org/10.1007/3-540-45537-x_10openalex-snapshot
Polynomial Reconstruction Based Cryptography
inferredcites →https://doi.org/10.1007/3-540-45537-x_8openalex-snapshot
A Simple Algebraic Representation of Rijndael
inferredcites →https://doi.org/10.1007/3-540-45708-9_1openalex-snapshot
Essential Algebraic Structure within the AES
inferredcites →https://doi.org/10.1007/978-0-387-35651-8openalex-snapshot
Ideals, Varieties, and Algorithms
inferredcites →https://doi.org/10.1007/978-1-4612-0913-3openalex-snapshot
Gröbner Bases: A Computational Approach to Commutative Algebra
inferredcites →https://doi.org/10.1007/978-1-4757-2693-0openalex-snapshot
Ideals, Varieties, and Algorithms
inferredcites →https://doi.org/10.1007/978-3-030-26951-7openalex-snapshot
Advances in Cryptology – CRYPTO 2019
inferredcites →https://doi.org/10.1007/978-3-319-76953-0openalex-snapshot
Topics in Cryptology – CT-RSA 2018
inferredcites →https://doi.org/10.1007/978-3-662-48800-3openalex-snapshot
Advances in Cryptology – ASIACRYPT 2015
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/10.1016/s0747-7171(88)80039-7openalex-snapshot
On the complexity of computing syzygies
inferredcites →https://doi.org/10.1145/780506.780516openalex-snapshot
A new efficient algorithm for computing Gröbner bases without reduction to zero ( F 5 )

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-0-387-36842-9openalex-snapshot
Algebraic Aspects of the Advanced Encryption Standard
inferred← citeshttps://doi.org/10.1007/978-3-030-34618-8_13openalex-snapshot
Algebraic Cryptanalysis of STARK-Friendly Designs: Application to MARVELlous and MiMC
inferred← citeshttps://doi.org/10.1007/978-3-031-68385-5_5openalex-snapshot
The Algebraic FreeLunch: Efficient Gröbner Basis Attacks Against Arithmetization-Oriented Primitives
inferred← citeshttps://doi.org/10.1007/978-3-031-82841-6_6openalex-snapshot
Generalized Triangular Dynamical System: An Algebraic System for Constructing Cryptographic Permutations over Finite Fields
inferred← citeshttps://doi.org/10.1007/978-3-031-91107-1_11openalex-snapshot
Gröbner Basis Cryptanalysis of Anemoi
inferred← citeshttps://doi.org/10.1007/978-3-540-93806-4_17openalex-snapshot
Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases
inferred← citeshttps://doi.org/10.1007/978-3-642-16342-5_19openalex-snapshot
Algebraic Cryptanalysis of Curry and Flurry Using Correlated Messages
inferred← citeshttps://doi.org/10.1007/978-3-642-17499-5_12openalex-snapshot
PET SNAKE: A Special Purpose Architecture to Implement an Algebraic Attack in Hardware
inferred← citeshttps://doi.org/10.1007/978-3-642-21518-6_27openalex-snapshot
Algebraic Precomputations in Differential and Integral Cryptanalysis
inferred← citeshttps://doi.org/10.1007/978-3-642-22792-9_10openalex-snapshot
Automatic Search of Attacks on Round-Reduced AES and Applications
inferred← citeshttps://doi.org/10.1007/978-3-662-53008-5_6openalex-snapshot
Automatic Search of Meet-in-the-Middle and Impossible Differential Attacks
inferred← citeshttps://doi.org/10.1007/978-981-96-0941-3_14openalex-snapshot
Modelling Ciphers with Overdefined Systems of Quadratic Equations: Application to Friday, Vision, RAIN and Biscuit
inferred← citeshttps://doi.org/10.1007/s11416-024-00540-2openalex-snapshot
Reducing overdefined systems of polynomial equations derived from small scale variants of the AES via data mining methods
inferred← citeshttps://doi.org/10.1007/s11786-009-0020-yopenalex-snapshot
Obtaining and Solving Systems of Equations in Key Variables Only for the Small Variants of AES
inferred← citeshttps://doi.org/10.1016/j.ffa.2014.07.001openalex-snapshot
First fall degree and Weil descent
inferred← citeshttps://doi.org/10.1016/j.jsc.2016.07.025openalex-snapshot
Sparse FGLM algorithms
inferred← citeshttps://doi.org/10.1038/s41598-021-93344-zopenalex-snapshot
Multilevel information fusion for cryptographic substitution box construction based on inevitable random noise in medical imaging
inferred← citeshttps://doi.org/10.1080/01611190802058139openalex-snapshot
Algebraic Attacks on the Courtois Toy Cipher
inferred← citeshttps://doi.org/10.1145/1993886.1993908openalex-snapshot
Fast algorithm for change of ordering of zero-dimensional Gröbner bases with sparse multiplication matrices
inferred← citeshttps://doi.org/10.1145/3488932.3497759openalex-snapshot
Symbolic Synthesis of Indifferentiability Attacks
inferred← citeshttps://doi.org/10.1155/2017/9828967openalex-snapshot
Algebraic Cryptanalysis Scheme of AES-256 Using Gröbner Basis
inferred← citeshttps://doi.org/10.1155/2022/2532497openalex-snapshot
Human Psychological Disorder towards Cryptography: True Random Number Generator from EEG of Schizophrenics and Its Application in Block Encryption’s Substitution Box
inferred← citeshttps://doi.org/10.1155/2022/8338508openalex-snapshot
Block Cipher’s Substitution Box Generation Based on Natural Randomness in Underwater Acoustics and Knight’s Tour Chain
inferred← citeshttps://doi.org/10.26083/tuprints-00001362openalex-snapshot
Algebraic Methods in Block Cipher Cryptanalysis
inferred← citeshttps://doi.org/10.46586/tosc.v2024.i1.357-411openalex-snapshot
Solving Degree Bounds for Iterated Polynomial Systems
inferred← citeshttps://doi.org/10.46586/tosc.v2024.i4.138-190openalex-snapshot
Exploring the Six Worlds of Gröbner Basis Cryptanalysis: Application to Anemoi
inferred← citeshttps://doi.org/10.70675/91e98fcezfe0cz4b88z8e64zb2a679034ecdopenalex-snapshot
Analysis of AES-based and arithmetization-oriented symmetric cryptography primitives
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