A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1â€¦Â (More)

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

2012

2012

- Robert Klopotek, Joanna Porter-Sobieraj
- 2012 Federated Conference on Computer Science andâ€¦
- 2012

This paper explores the opportunities of using a GPGPU to solve systems of polynomial equations. We propose numerical real rootâ€¦Â (More)

Is this relevant?

2008

2008

- Randall Dougherty, Christopher F. Freiling, Kenneth Zeger
- IEEE Transactions on Information Theory
- 2008

If beta and gamma are nonnegative integers and F is a field, then a polynomial collection {p<sub>1</sub>,<sub>hellip</sub> ,P<subâ€¦Â (More)

Is this relevant?

Highly Cited

2008

Highly Cited

2008

- Itai Dinur, Adi Shamir
- EUROCRYPT
- 2008

Almost any cryptographic scheme can be described by tweakable polynomials over GF (2), which contain both secret variables (e.gâ€¦Â (More)

Is this relevant?

Highly Cited

2002

Highly Cited

2002

- Nicolas Courtois, Josef Pieprzyk
- ASIACRYPT
- 2002

Several recently proposed ciphers, for example Rijndael and Serpent, are built with layers of small S-boxes interconnected byâ€¦Â (More)

Is this relevant?

2001

2001

Solving a system of polynomial equations is a ubiquitous problem in the applications of mathematics. Until recently, it has beenâ€¦Â (More)

Is this relevant?

Highly Cited

2001

Highly Cited

2001

- Marc Giusti, GrÃ©goire Lecerf, Bruno Salvy
- J. Complexity
- 2001

Given a system of polynomial equations and inequations with coefficients in the field of rational numbers, we show how to computeâ€¦Â (More)

Is this relevant?

Highly Cited

2000

Highly Cited

2000

- Nicolas Courtois, Alexander Klimov, Jacques Patarin, Adi Shamir
- EUROCRYPT
- 2000

The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadraticâ€¦Â (More)

Is this relevant?

Highly Cited

1994

Highly Cited

1994

- Dinesh Manocha
- IEEE Computer Graphics and Applications
- 1994

Geometric and solid modelling deal with the representation and manipulation of physical objects. Currently most geometric objectsâ€¦Â (More)

Is this relevant?

1973

1973

- David Y. Yun
- SIGS
- 1973

Methods for finding numerical solutions of nonlinear algebraic systems of equations have been given considerable attention sinceâ€¦Â (More)

Is this relevant?

1966

1966

- Joel Moses
- Commun. ACM
- 1966

The elimination procedure as described by Williams has been coded in LISP and FORMAC and used in solving systems of polynomialâ€¦Â (More)

Is this relevant?