An improvement of algorithms to solve under-defined systems of multivariate quadratic equations
Author:
Affiliation:
1. Department of Mathematical Science, University of the Ryukyus
Publisher
The Japan Society for Industrial and Applied Mathematics
Subject
General Engineering
Link
https://www.jstage.jst.go.jp/article/jsiaml/15/0/15_53/_pdf
Reference13 articles.
1. [1] A. S. Fraenkel and Y. Yesha, Complexity of problems in games, graphs and algebraic equations, Discrete Appl. Math., 1 (1979), 15–30.
2. [2] M. R. Garey and D. S. Johnson, Computers and Intractability, A Guide to the Theory of NP-completeness, W.H. Freeman, San Francisco, 1979.
3. [3] J. C. Faugére, A new efficient algorithm for computing Gröbner bases (F4), J. Pure Appl. Algebra, 139 (1999), 61–88.
4. [4] C. M. Cheng, T. Chou, R. Niederhagen and B. Y. Yang, Solving quadratic equations with XL on parallel architectures, in: Proc. of CHES’12, E. Prouff, P. Schaumont eds., LNCS Vol. 7428, pp.356–373, Springer Berlin, Heidelberg, 2012.
5. [5] L. Bettale, J. C. Faugѐre and L. Perret, Solving polynomial systems over finite fields: Improved analysis of the hybrid approach, in: Proc. of ISSAC’12, J. Hoeven, M. Hoeij eds., pp.67–74, Assoc. for Computing Machinery, New York, 2012.
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