Oracle-Based Multistep Strategy for Solving Polynomial Systems Over Finite Fields and Algebraic Cryptanalysis of the Aradi Cipher
Fuente:
arXiv
Saved in:
| Main Authors: | La Scala, Roberto, Tiwari, Sharwan Kumar |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium
by: La Scala, Roberto, et al.
Published: (2023)
by: La Scala, Roberto, et al.
Published: (2023)
Polynomial XL: A Variant of the XL Algorithm Using Macaulay Matrices over Polynomial Rings
by: Furue, Hiroki, et al.
Published: (2021)
by: Furue, Hiroki, et al.
Published: (2021)
The solving degrees for computing Gröbner bases of affine semi-regular polynomial sequences
by: Kudo, Momonari, et al.
Published: (2024)
by: Kudo, Momonari, et al.
Published: (2024)
Solving Polynomial Systems with Gröbner Bases: An Introduction to F4 and FGLM
by: Bigatti, Anna Maria, et al.
Published: (2025)
by: Bigatti, Anna Maria, et al.
Published: (2025)
Solving Degree Bounds For Iterated Polynomial Systems
by: Steiner, Matthias Johann
Published: (2023)
by: Steiner, Matthias Johann
Published: (2023)
A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems
by: Vu, Thi Xuan
Published: (2026)
by: Vu, Thi Xuan
Published: (2026)
Formal Power Series on Algebraic Cryptanalysis
by: Nakamura, Shuhei
Published: (2020)
by: Nakamura, Shuhei
Published: (2020)
Subresultants of Several Univariate Polynomials in Newton Basis
by: Wang, Weidong, et al.
Published: (2022)
by: Wang, Weidong, et al.
Published: (2022)
Computing Generic Fibers of Polynomial Ideals with FGLM and Hensel Lifting
by: Berthomieu, Jérémy, et al.
Published: (2024)
by: Berthomieu, Jérémy, et al.
Published: (2024)
Comprehensive Systems for Primary Decompositions of Parametric Ideals
by: Ishihara, Yuki, et al.
Published: (2024)
by: Ishihara, Yuki, et al.
Published: (2024)
Gradient-Weighted, Data-Driven Normalization for Approximate Border Bases -- Concept and Computation
by: Kera, Hiroshi, et al.
Published: (2025)
by: Kera, Hiroshi, et al.
Published: (2025)
Cryptanalysis of a multivariate CCZ scheme
by: Caminata, Alessio, et al.
Published: (2025)
by: Caminata, Alessio, et al.
Published: (2025)
Computing Certificates in Archimedean Univariate Saturated Quadratic Modules
by: Castellanos-Joo, Jose Abel, et al.
Published: (2026)
by: Castellanos-Joo, Jose Abel, et al.
Published: (2026)
On $n$-Dimensional Sequences. I
by: Norton, Graham H.
Published: (2024)
by: Norton, Graham H.
Published: (2024)
A Shape Lemma for Ideals of Differential Operators
by: Kauers, Manuel, et al.
Published: (2025)
by: Kauers, Manuel, et al.
Published: (2025)
Primary Decomposition of Symmetric Ideals
by: Ishihara, Yuki
Published: (2024)
by: Ishihara, Yuki
Published: (2024)
On the equivalence problem of Smith forms for multivariate polynomial matrices
by: Lu, Dong, et al.
Published: (2024)
by: Lu, Dong, et al.
Published: (2024)
Monomial-agnostic computation of vanishing ideals
by: Kera, Hiroshi, et al.
Published: (2021)
by: Kera, Hiroshi, et al.
Published: (2021)
On the arithmetic complexity of computing Gröbner bases of comaximal determinantal ideals
by: Gopalakrishnan, Sriram
Published: (2024)
by: Gopalakrishnan, Sriram
Published: (2024)
On Recurrence Relations of Multi-dimensional Sequences
by: Rahkooy, Hamid
Published: (2024)
by: Rahkooy, Hamid
Published: (2024)
Optimized Gröbner basis algorithms for maximal determinantal ideals and critical point computations
by: Gopalakrishnan, Sriram, et al.
Published: (2024)
by: Gopalakrishnan, Sriram, et al.
Published: (2024)
Reading Rational Univariate Representations on lexicographic Groebner bases
by: Demin, Alexander, et al.
Published: (2024)
by: Demin, Alexander, et al.
Published: (2024)
A complexity analysis of the F4 Gröbner basis algorithm with tracer data
by: Kouba, Robin, et al.
Published: (2026)
by: Kouba, Robin, et al.
Published: (2026)
Factoring sparse polynomials fast
by: Demin, Alexander, et al.
Published: (2023)
by: Demin, Alexander, et al.
Published: (2023)
Axioms for a theory of signature bases
by: Lairez, Pierre
Published: (2022)
by: Lairez, Pierre
Published: (2022)
Fast interpolation of sparse multivariate polynomials
by: van der Hoeven, Joris, et al.
Published: (2023)
by: van der Hoeven, Joris, et al.
Published: (2023)
Constructing Koszul filtrations: existence and non-existence for G-quadratic algebras
by: Berghofer, Emily, et al.
Published: (2026)
by: Berghofer, Emily, et al.
Published: (2026)
Asymptotic properties of random monomial ideals
by: Mohammadi, Fatemeh, et al.
Published: (2026)
by: Mohammadi, Fatemeh, et al.
Published: (2026)
Gröbner Bases Native to Term-ordered Commutative Algebras, with Application to the Hodge Algebra of Minors
by: Grochow, Joshua A., et al.
Published: (2025)
by: Grochow, Joshua A., et al.
Published: (2025)
The complexity of the SupportMinors Modeling for the MinRank Problem
by: Cabarcas, Daniel, et al.
Published: (2025)
by: Cabarcas, Daniel, et al.
Published: (2025)
CALT: A Library for Computer Algebra with Transformer
by: Kera, Hiroshi, et al.
Published: (2025)
by: Kera, Hiroshi, et al.
Published: (2025)
Gr{ö}bner bases over polytopal affinoid algebras
by: Barkatou, Moulay A., et al.
Published: (2024)
by: Barkatou, Moulay A., et al.
Published: (2024)
Generalization of semi-regular sequences: Maximal Gröbner basis degree, variants of genericness, and related conjectures
by: Kudo, Momonari, et al.
Published: (2024)
by: Kudo, Momonari, et al.
Published: (2024)
Groebner.jl: A package for Gröbner bases computations in Julia
by: Demin, Alexander, et al.
Published: (2023)
by: Demin, Alexander, et al.
Published: (2023)
On Hilbert-Poincaré series of affine semi-regular polynomial sequences and related Gröbner bases
by: Kudo, Momonari, et al.
Published: (2024)
by: Kudo, Momonari, et al.
Published: (2024)
Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation
by: Mohammadi, Fatemeh, et al.
Published: (2025)
by: Mohammadi, Fatemeh, et al.
Published: (2025)
Computing Border Bases without using a Term Ordering
by: Kaspar, Stefan
Published: (2011)
by: Kaspar, Stefan
Published: (2011)
On modular computation of Groebner bases with integer coefficients
by: Orevkov, S. Yu.
Published: (2013)
by: Orevkov, S. Yu.
Published: (2013)
Parametric "Non-nested" Discriminants for Multiplicities of Univariate Polynomials
by: Hong, Hoon, et al.
Published: (2023)
by: Hong, Hoon, et al.
Published: (2023)
On key exchange protocol based on Two-side multiplication action
by: Sanchez, Alvaro Otero
Published: (2025)
by: Sanchez, Alvaro Otero
Published: (2025)
Similar Items
-
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium
by: La Scala, Roberto, et al.
Published: (2023) -
Polynomial XL: A Variant of the XL Algorithm Using Macaulay Matrices over Polynomial Rings
by: Furue, Hiroki, et al.
Published: (2021) -
The solving degrees for computing Gröbner bases of affine semi-regular polynomial sequences
by: Kudo, Momonari, et al.
Published: (2024) -
Solving Polynomial Systems with Gröbner Bases: An Introduction to F4 and FGLM
by: Bigatti, Anna Maria, et al.
Published: (2025) -
Solving Degree Bounds For Iterated Polynomial Systems
by: Steiner, Matthias Johann
Published: (2023)