Probabilistic analysis on Macaulay matrices over finite fields and complexity of constructing Gröbner bases-Reference-Cited by-同舟云学术

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Probabilistic analysis on Macaulay matrices over finite fields and complexity of constructing Gröbner bases

Published:2021-01 Issue: Volume:565 Page:651-674
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Semaev Igor,Tenti Andrea^ORCID

Funder

Norwegian Research Council

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference20 articles.

1. The Magma algebra system. I. The user language;Bosma,1997

2. Complexity of Gröbner Basis Computation of Semi-Regular Overdetermined Sequences over F2 with Solutions in F2;Bardet,2003

3. On the complexity of the F5 Gröbner basis algorithm;Bardet;J. Symb. Comput.,2015

4. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal;Buchberger,1965

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1. Polynomial XL: A Variant of the XL Algorithm Using Macaulay Matrices over Polynomial Rings;Lecture Notes in Computer Science;2024

2. The Complexity of Algebraic Algorithms for LWE;Lecture Notes in Computer Science;2024

3. The complexity of solving Weil restriction systems;Journal of Algebra;2023-05

4. Solving degree, last fall degree, and related invariants;Journal of Symbolic Computation;2023-01

5. H∞$$ {H}_{\infty } $$ filtering and reduced‐order optimization methods for control of time‐delay linear systems with unknown disturbances and faults;Optimal Control Applications and Methods;2022-12-07

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