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Jan De Beule
Gent University
Gent, Belgium
 

Jan De Beule is currently a postdoctoral research fellow at the Research Foundation Flanders (Belgium) (FWO), at Gent University (Belgium). His field of research is Galois geometry. He started his research career in 2000, as a PhD student, and obtained his PhD in 2004. Since then, he has continued his research as a postdoctoral researcher.

Apart from Galois geometry, his mathematical interests are in the fields of computer algebra, computational group theory, and combinatorics in general.


     

A generalized attack on RSA type cryptosystems
Bunder M., Nitaj A., Susilo W., Tonien J. Theoretical Computer Science 704 74-81, 2017.  Type: Article

The safety of the well-known RSA cryptosystem is based on the fact that, in general, it is computationally very hard to factorize large integers. Given two large prime numbers p and q, the public k...

 

Planar graphs without 4-cycles adjacent to triangles are 4-choosable
Cheng P., Chen M., Wang Y. Discrete Mathematics 339(12): 3052-3057, 2016.  Type: Article

Let G be a finite simple graph. A list assignment is a function on the vertices that associates a list of colors with each vertex. An L-coloring is a function that colors each vertex with one of th...

 

Representing finite convex geometries by relatively convex sets
Adaricheva K. European Journal of Combinatorics 3768-78, 2014.  Type: Article

A set A with a closure operator c: 2A → 2A is called a convex geometry if the empty set is closed and if it satisfies the anti-...

 

On the rank of incidence matrices for points and lines of finite affine and projective geometries over a field of four elements
Kovalenko M., Urbanovich T. Problems of Information Transmission 50(1): 79-89, 2014.  Type: Article

An incidence geometry is, briefly described, a set of elements that have a different type and an incidence relation satisfying certain axioms. Typical examples include projective spaces, affine spaces, and polar spaces. The elements of...

 

Investigation of center manifolds of three-dimensional systems using computer algebra
Romanovski V., Mencinger M., Ferčec B. Programming and Computing Software 39(2): 67-73, 2013.  Type: Article

A computational approach to center manifolds is presented in this paper. The theory of center manifolds offers a way to reduce the dimension of a system of ordinary differential equations. In a series of theorems, the authors describe ...

 
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