On QE Algorithms over an Algebraically Closed Field Based on Comprehensive Gröbner Systems

Author:

Fukasaku Ryoya,Inoue Shutaro,Sato Yosuke

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference18 articles.

1. A computer algebra system Risa/Asir. http://www.math.kobe-u.ac.jp/Asir/asir.html

2. Basu, S., Pollack, R., Roy, M.: Algorithms in Real Algebraic Geometry. Algorithms and Computation in Mathematics, vol. 10. Springer, Berlin

3. Chen, C., Golubitsky, O., Lemaire, F., Moreno Maza, M., Pan, W.: Comprehensive Triangular Decomposition, vol. 4770 of LNCS, pp. 73–101. Springer, Berlin (2007)

4. Chou S.C.: Mechanical Geometry Theorem Proving. Mathematics and Its Applications. Springer, Berlin (1988)

5. Fortuna E., Gianni P., Trager B.: Degree reduction under specialization. J. Pure Appl. Algebra 164, 153–164 (2001)

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1. Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system;Applicable Algebra in Engineering, Communication and Computing;2023-08-03

2. Complexity bounds on Semaev’s naive index calculus method for ECDLP;Journal of Mathematical Cryptology;2020-10-30

3. A Survey on Algorithms for Computing Comprehensive Gröbner Systems and Comprehensive Gröbner Bases;Journal of Systems Science and Complexity;2019-02

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