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Ferruh Ozbudak

20142020
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Hermitian Curve Mathematics
Walsh Transform Mathematics
Quartic Mathematics
Gold Mathematics
Algebra Engineering & Materials Science
Semigroup Mathematics
Nonlinearity Mathematics
Upper bound Mathematics

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Projects 2014 2020

Affine variety codes

Geil, O., Ozbudak, F. & Celic, E.

01/09/201701/01/2020

Project: Research

Quantum codes

Geil, O., Ruano, D., Ozbudak, F., Christensen, R. B., Hernando, F., Galindo, C. & Matsumoto, R.

01/08/201728/03/2019

Project: Research

Secret Sharing

Geil, O., Ruano, D., Ozbudak, F., Hernando, F., Høholdt, T., Hansen, J. P., Galindo, C. & Beelen, P.

01/09/201428/02/2019

Project: Research

Research Output 2017 2019

  • 3 Article in proceeding
  • 2 Journal article

On affine variety codes from the Klein quartic

Geil, H. O. & Ozbudak, F., 15 Mar 2019, In : Cryptography and Communications. 11, 2, p. 237-257 21 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Quartic
Algebra
Symbolic Computation
Series

Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve

Geil, H. O., Ozbudak, F. & Ruano Benito, D., 1 Jan 2018, (Accepted/In press) In : Semigroup Forum. 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Hermitian Curve
Semigroup
Distinct
Theorem
Galois field
1 Citation (Scopus)

A correction and improvements of some recent results on walsh transforms of gold type and Kasami-Welch type functions

Coşgun, A. & Özbudak, F., 2017, Arithmetic of Finite Fields: 6th International Workshop, WAIFI 2016, Revised Selected Papers. Springer VS, p. 243-257 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 10064 LNCS).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Walsh Transform
Gold
Open Problems
Odd
Generalise
1 Citation (Scopus)

A super-set of Patterson-Wiedemann functions – Upper bounds and possible nonlinearities

Kavut, S., Maitra, S. & Özbudak, F., 2017, Arithmetic of Finite Fields: 6th International Workshop, WAIFI 2016, Revised Selected Papers. Springer VS, p. 227-242 16 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 10064 LNCS).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Nonlinearity
Upper bound
Concatenation
Boolean Functions
Cryptology
2 Citations (Scopus)

Bounding the Minimum Distance of Affine Variety Codes Using Symbolic Computations of Footprints

Geil, H. O. & Ozbudak, F., 2017, Coding Theory and Applications: 5th International Castle Meeting, ICMCTA 2017, Vihula, Estonia, August 28-31, 2017, Proceedings. Barbero, Á. I., Skachek, V. & Ytrehus, Ø. (eds.). Springer VS, p. 128-138 11 p. (Lecture Notes in Computer Science, Vol. 10495).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review