Development of hybrid approach for solving MQ problem: Intermediate hybrid approach
Author:
Affiliation:
1. Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo
Publisher
The Japan Society for Industrial and Applied Mathematics
Subject
General Engineering
Link
https://www.jstage.jst.go.jp/article/jsiaml/15/0/15_109/_pdf
Reference12 articles.
1. [1] P. W. Shor, Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer, SIAM J. Comput., 26 (1997), 1484–1509.
2. [2] J.-C. Faugère, A new efficient algorithm for computing Gröbner Bases (F4), J. Pure Appl. Algebra, 139 (1999), 6–88.
3. [3] J.-C. Faugère, A new efficient algorithm for computing Gröbner bases without reduction to zero (F5), in: Proc. of ISSAC 2002, pp. 75–83, Association for Computing Machinery, 2002.
4. [4] L. Bettale, J.-C. Faugère and L. Perret, Hybrid approach for solving multivariate systems over finite fields, J. Math. Crypt., 3 (2009), 177–197.
5. [5] B. Buchberger, Ein algorithmus zum auffinden der basiselemente des restklassenringes nach einem nulldimensionalen polynomideal, Ph.D. thesis, Universität Innsbruck, 1965.
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