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Organization profile

Introduction / mission

The three chairs within DM maintain the three main research areas: the more applied coding theory and cryptology; the combinatorial optimization which goes into problems in operational management; and the more fundamental discrete algebra and geometry.

Highlighted phrase

The section DM is interested in all mathematical problems of a discrete nature.

Organisational profile

The section DM has three 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.

The Combinatorial Optimization (CO) group focuses on the analysis and solution of discrete algorithmic problems that are computationally difficult (NP-hard). A generic formulation of such problems is: given a number of boundary conditions and constraints, find a solution that minimizes the cost or maximizes the profit.

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.

Fingerprint Dive into the research topics where Discrete Mathematics is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.

Cryptography Engineering & Materials Science
Polynomials Engineering & Materials Science
Matroid Mathematics
Decoding Engineering & Materials Science
Hash functions Engineering & Materials Science
Curve Mathematics
Program processors Engineering & Materials Science
Costs Engineering & Materials Science

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 1973 2019

12 Downloads (Pure)

An algorithm for komlós conjecture matching Banaszczyk's bound

Bansal, N., Dadush, D. & Garg, S., 30 Apr 2019, In : SIAM Journal on Computing. 48, 2, p. 534-553 20 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Set Systems
Efficient Algorithms
1 Citation (Scopus)
1 Downloads (Pure)

A new class of irreducible pentanomials for polynomial-based multipliers in binary fields

Banegas, G., Custódio, R. & Panario, D., 1 Nov 2019, In : Journal of Cryptographic Engineering. 9, 4, p. 359–373 15 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Time delay

Application of complementary dual AG codes to entanglement-assisted quantum codes

Pereira, F. R. F., Pellikaan, R., La Guardia, G. G. & De Assis, F. M., 1 Jul 2019, 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Piscataway: Institute of Electrical and Electronics Engineers, p. 2559-2563 5 p. 8849685

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Error-correcting Codes
Algebraic-geometry Codes


Algorithms for coping with uncertainty and intractability

N. Bansal (Recipient), 2013

Prize: ERCConsolidatorScientific

Combinatorial optimization
Approximation algorithms
Computer science
Optimum design

Best investigative reporting

Jacob Appelbaum (Recipient), 2014

Prize: OtherCareer, activity or publication related prizes (lifetime, best paper, poster etc.)Scientific

Best Paper Award at IH&MMSec 2015

Thijs Laarhoven (Recipient), 19 Jun 2015

Prize: OtherCareer, activity or publication related prizes (lifetime, best paper, poster etc.)Scientific


Activities 2014 2019

  • 11 Contributed talk
  • 5 Invited talk
  • 1 Workshop, seminar, course or exhibition

Strong IP Formulations Need Large Coefficients

Christopher Hojny (Speaker)
6 Sep 2019

Activity: Talk or presentation typesContributed talkScientific

Symmetry Handling in Binary Programs: Combining Symretopes and Orbital Fixing

Christopher Hojny (Speaker)
1 Jul 2019

Activity: Talk or presentation typesInvited talkScientific

Strong IP Formulations Need Large Coefficients

Christopher Hojny (Speaker)
27 Mar 2019

Activity: Talk or presentation typesInvited talkScientific

Student theses

A characterization of the special linear and unitary Lie algebra via its extremal geometry

Author: Oostendorp, M., 31 Aug 2018

Supervisor: Cuypers, F. (Supervisor 1)

Student thesis: Master


Achieving differential privacy in secure multiparty computation

Author: Thissen, K., 15 May 2019

Supervisor: Schoenmakers, B. (Supervisor 1), Koster, R. (. (External person) (External coach) & van Liesdonk, P. (External coach)

Student thesis: Master


A group-theoretical analysis of solvability, solutions and solution strategies of permutation puzzles

Author: Rijpert, D. T., 15 Aug 2019

Supervisor: Cuypers, H. (Supervisor 1)

Student thesis: Bachelor