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Personal profile

Research profile

Pellikaan obtained an MSc in mathematics at the University of Amsterdam and his Ph.D. degree in 1985 at the University of Utrecht. He worked as a postdoc till 1987 at the Free University of Amsterdam. Since 1987 he is assistant professor at the Eindhoven University of Technology in the Discrete Mathematics Group. Pellikaan’s main scientific contributions are in singularity theory and algebraic geometry codes. He published 30 research papers, 20 papers in conference proceedings and 10 chapters in books. Six students have received a Ph.D. under his supervision.

Fingerprint Dive into the research topics where G.R. (Ruud) Pellikaan) is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Cryptography Engineering & Materials Science
Decoding Engineering & Materials Science
Weight Enumerator Mathematics
Linear Codes Mathematics
Geometry Engineering & Materials Science
Algebraic-geometry Codes Mathematics
Reed-Solomon codes Engineering & Materials Science
Polynomials Engineering & Materials Science

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Research Output 1988 2019

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

Entanglement
Towers
Error-correcting Codes
Redundancy
Algebraic-geometry Codes

Entanglement-assisted quantum codes from algebraic geometry codes

Fernandes Pereira, F., Pellikaan, R., Gadioli La Guardia, G. & de Assis, F. M., 2019, Proceedings of the WCC 2019: The Eleventh International Workshop on Coding and Cryptography. 10 p.

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

geometry
error correcting codes
redundancy
towers
formalism

Entanglement-assisted quantum codes from algebraic geometry codes

Fernandes Pereira, F., Pellikaan, R., Gadioli La Guardia, G. & de Assis, F. M., 2019, In : arXiv. 21 p., 1907.06357v1.

Research output: Contribution to journalArticleAcademic

Open Access
File
geometry
error correcting codes
redundancy
towers
formalism

Quantum BCH and reed-solomon entanglement-assisted codes

Fernandes Pereira, F. & Pellikaan, R., 2019, Proceedings of the 40th WIC Symposium on Information Theory in the Benelux . p. 102 1 p.

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

Reed-Solomon codes
error correcting codes
redundancy
resources

Defining the q-analogue of a matroid

Jurrius, R. P. M. J. & Pellikaan, G. R., 13 Jul 2018, In : The Electronic Journal of Combinatorics. 25, 3, 32 p., #P3.2.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Q-analogue
Matroid
Contraction
Duality
Restriction

Student theses

Coding theory: a Gröbner basis approach

Author: Kuijsters, D., 20 Feb 2017

Supervisor: Pellikaan, G. (Supervisor 1)

Student thesis: Master

File

Cosetleader weight enumerator of the product code Cm ⊗ Cn

Author: Geraerts, L. J., 8 May 2019

Supervisor: Pellikaan, R. (Supervisor 1)

Student thesis: Bachelor

File

Knots and codes

Author: Nijsten, A. I., 17 Jul 2019

Supervisor: Pellikaan, R. (Supervisor 1)

Student thesis: Bachelor

File

List-decoding algorithms for Reed-Solomon codes

Author: van Niekerk, E., 7 Oct 2005

Supervisor: Pellikaan, G. (Supervisor 1) & Tolhuizen, L. (External coach)

Student thesis: Master

File

Lower bound on the minimum distance of cyclic codes

Author: Hendradi, E., 31 Aug 2007

Supervisor: Pellikaan, G. (Supervisor 1) & Hollmann, H. (External coach)

Student thesis: Master

File