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Thesis topic proposal
 
Lajos Rónyai
Algebraic methods in computer science

THESIS TOPIC PROPOSAL

Institute: Budapest University of Technology and Economics
mathematics and computing
Doctoral School of Mathematics and Computer Sciences

Thesis supervisor: Lajos Rónyai
Location of studies (in Hungarian): Department of Algebra, Institute of Mathematics, BME
Abbreviation of location of studies: BME


Description of the research topic:

Algebraic tools and techniques have proved to be very efficient in the study of some problems of discrete mathematics and computer science. Particularly interesting are here the explicit constructions of algebraic nature. As examples, one can mention notable error correcting codes, such as Reed-Solomon codes. Some cryptographic techniques (such as ElGamal encryption, Diffie-Helmann key exchange, or ECC) also involve algebraic ideas. Algebraic methods have led to important constructions in combinatorics, such as the norm graphs. The main objective of the project would be the study and development of constructive applications in the spirit of the above examples. From this very wide area we could select specific topics according to the interest and background of the student. There are important theoretical problems as well as questions close to computational applications.

Required language skills: English
Number of students who can be accepted: 1

Deadline for application: 2017-05-31


2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )