In computer algebra, the Faugère F4 algorithm, by Jean-Charles Faugère, computes the Gröbner basis of an ideal of a multivariate polynomial ring. The… (More)

Semantic Scholar uses AI to extract papers important to this topic.

2017

2017

- Tristan Vaccon, Kazuhiro Yokoyama
- ISSAC
- 2017

Let K be a field equipped with a valuation. Tropical varieties over K can be defined with a theory of Gröbner bases taking into… (More)

Is this relevant?

2011

2011

- Yao Sun, Dingkang Wang
- J. Systems Science & Complexity
- 2011

The famous F5 algorithm for computing Gröbner basis was presented by Faugère in 2002. The original version of F5 is given in… (More)

Is this relevant?

2010

2010

- Christian Eder, John Edward Perry
- J. Symb. Comput.
- 2010

Faugère's F5 algorithm computes a Gröbner basis incrementally, by computing a sequence of (non-reduced) Gröbner bases. The… (More)

Is this relevant?

2010

2010

- Antoine Joux, Vanessa Vitse
- CT-RSA
- 2010

Algebraic cryptanalysis usually requires to find solutions of several similar polynomial systems. A standard tool to solve this… (More)

Is this relevant?

2010

2010

- Yao Sun, DingKang Wang
- 2010

The famous F5 algorithm for computing Gröbner basis was presented by Faugère in 2002 without complete proofs for its correctness… (More)

Is this relevant?

2009

2009

- Yao Sun, Dingkang Wang
- ArXiv
- 2009

The F5 algorithm is presented by Faugère in 2002. However, Faugère have not provide the rigorous proofs so far. In this paper, we… (More)

Is this relevant?

Highly Cited

2009

Highly Cited

2009

- Jan Kodovský, Jessica J. Fridrich
- MM&Sec
- 2009

Calibration was first introduced in 2002 as a new concept to attack the F5 algorithm [3]. Since then, it became an essential part… (More)

Is this relevant?

2007

2007

- Domenico Daniele Bloisi, Luca Iocchi
- VISAPP
- 2007

In this paper we describe a method for integrating together cryptography and steganography through image processing. In… (More)

Is this relevant?

Highly Cited

2004

Highly Cited

2004

- Gwénolé Ars, Jean-Charles Faugère, Hideki Imai, Mitsuru Kawazoe, Makoto Sugita
- ASIACRYPT
- 2004

This paper compares the XL algorithm with known Gröbner basis algorithms. We show that to solve a system of algebraic equations… (More)

Is this relevant?

Highly Cited

1972

Highly Cited

1972

- Richard H. Bartels, G. W. Stewart
- Commun. ACM
- 1972

and Canada) or $18.00 (elsewhere). If the user sends a small tape (wt. less than 1 lb.) the algorithm will be copied on it and… (More)

Is this relevant?