Introductie / missie
The two chairs within DM maintain the tw main research areas: the more applied coding theory and cryptology and the more fundamental discrete algebra and geometry.
The section DM is interested in all mathematical problems of a discrete nature.
Over de organisatie
The section DM has two chairs:
The chair for Coding Theory and Cryptology (CC) performs research in theoretical and applied areas of both topics:
Coding Theory is the mathematical theory of encoding information in such a way that it becomes resistant to transmission errors. The main topics are the study of the properties of various codes (cyclic codes, BCH-codes, MDS-codes, algebraic-geometric codes) and the construction of efficient decoding algorithms for these codes.
Cryptology is the mathematical theory of protecting information against unauthorized access (privacy), determining if a message has been altered by a third party (integrity), adding a signature to an electronic document and verifying the identity.
Discrete Algebra and Geometry
Phenomena throughout mathematics and the natural sciences have discrete algebraic aspects, often along with analytical counterparts. While the latter are typically modelled using real numbers, differential equations, and numerical computations, describing the discrete-algebraic aspects involves objects like nite elds, graphs, polynomials, groups, algebras, and symbolic computations. The Discrete Algebra and Geometry (DAG) group at the TU/e develops the mathematics needed for such a description.
Bansal, Nikhil (Ontvanger), 2013
Prijs: ERC › Consolidator › Wetenschappelijk
31 aug 2018
Begeleider: Cuypers, F. (Afstudeerdocent 1)
15 mei 2019
Begeleider: Schoenmakers, B. (Afstudeerdocent 1), Koster, R. (. (Externe persoon) (Externe coach) & van Liesdonk, P. (Externe coach)
A group-theoretical analysis of solvability, solutions and solution strategies of permutation puzzlesAuteur: Rijpert, D. T., 15 aug 2019
Begeleider: Cuypers, H. (Afstudeerdocent 1)