Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>: Algorithms and complexity-Reference-Cited by-同舟云学术

Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree (1,1): Algorithms and complexity

Published:2011-04 Issue:4 Volume:46 Page:406-437
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Faugère Jean-Charles,Safey El Din Mohab,Spaenlehauer Pierre-Jean

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference29 articles.

1. Introduction to Commutative Algebra;Atiyah,1969

2. Bardet, M., 2004. Étude des systèmes algébriques surdéterminés. applications aux codes correcteurs et à la cryptographie. Ph.D. Thesis, Université Paris 6.

3. Bardet, M., Faugère, J.-C., Salvy, B., Yang, B., 2005. Asymptotic behaviour of the degree of regularity of semi-regular polynomial systems. In: Proceedings of Effective Methods in Algebraic Geometry (MEGA).

4. Combinatorics of maximal minors;Bernstein;Journal of Algebraic Combinatorics,1993

5. Gröbner bases and determinantal ideals;Bruns,2003

Cited by 40 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the computation of Gröbner bases for matrix-weighted homogeneous systems;Journal of Symbolic Computation;2024-11

2. MPC in the Head Using the Subfield Bilinear Collision Problem;Lecture Notes in Computer Science;2024

3. Take Your MEDS: Digital Signatures from Matrix Code Equivalence;Progress in Cryptology - AFRICACRYPT 2023;2023

4. Cryptanalysis of Rank-Metric Schemes Based on Distorted Gabidulin Codes;Post-Quantum Cryptography;2023

5. Recent progress in the security evaluation of multivariate public‐key cryptography;IET Information Security;2022-09-03