Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations

Author:

Courtois Nicolas,Klimov Alexander,Patarin Jacques,Shamir Adi

Publisher

Springer Berlin Heidelberg

Reference11 articles.

1. Iyad A. Ajwa, Zhuojun Liu, and Paul S. Wang: “Grobner Bases Algorithm”, ICM Technical Reports, February 1995. See http://symbolicnet.mcs.kent.edu/icm/reports/index1995.html .

2. Don Coppersmith: “Finding a small root of a univariate modular equation”; Proceedings of Eurocrypt’96, Springer-Verlag, pp.155–165.

3. Nicolas Courtois “The security of HFE”, to be published.

4. Nicolas Courtois: The HFE cryptosystem web page. See http://www.univ-tln.fr/~courtois/hfe.html

5. Jean-Charles Faugère: “A new efficient algorithm for computing Gröbner bases (F4).” Journal of Pure and Applied Algebra 139 (1999) pp. 61–88. See http://www.elsevier.com/locate/jpaa

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