Prof. Dr. rer. nat. habil. Gohar Kyureghyan
Arbeitsgruppe 'Diskrete Mathematik'
- Lehre
- Publikationen
- Editorial Work
- Konferenzen
Publikationen
- Graner, A.-M.; Kyureghyan, G.
Constructing irreducible polynomials recursively with a reverse composition method.
Proceedings of the 12th International Workshop on Coding and Cryptography (Rostock, 2022), Paper 28. - Kölsch, L.; Kriepke, B.; Kyureghyan, G. M.
Image sets of perfectly nonlinear maps.
Designs, Codes and Cryptography (2022) online. (Open Access)
(Preliminary version on arXiv) - Göloğlu, F.; Kölsch, L.; Kyureghyan, G.; Perrin, L.
On subspaces of Kloosterman zeros and permutations of the form L_1(x^{-1})+L_2(x).
Arithmetic of finite fields, Lecture Notes in Comput. Sci. 12542, pp. 207-221, Springer, 2021. (Preprint on arXiv) - Kyureghyan, G.; Li, S.; Pott, A.
On the intersection distribution of degree three polynomials and related topics.
Electron. J. Combin. 28(2) (2021), P2.46, 25 pp. (Preprint on arXiv) - Kyureghyan, G. M.; Kyureghyan, M. K.
A recurrent construction of irreducible polynomials of fixed degree over finite fields.
Applicable Algebra in Engineering, Communication and Computing (2022) 33:163–171. - Gerike, D.; Kyureghyan, G. M.
Permutations on finite fields with invariant cycle structure on lines.
Designs, Codes and Cryptography (2020) 88:1723–1740. (Open Access) - Gerike, D.; Kyureghyan, G. M.
Permutations on F_q^n with Invariant Cycle Structure on Certain Lines.
Proceedings of the 11th International Workshop on Coding and Cryptography (Saint-Jacut de la Mer, 2019), Paper 40. - Gerike, D.; Kyureghyan, G. M.
Results on permutation polynomials of shape x^t+γTr_q^n/q(x^d).
Combinatorics and Finite Fields, 67–78, Radon Ser. Comput. Appl. Math., 23, De Gruyter, Berlin, 2019. (Preprint) - Charpin, P. and Kyureghyan, G.
On sets determining the differential spectrum of mappings.
Int. J. Inf. Coding Theory 4 (2017), no. 2-3, 170–184. (Preprint on HAL) - Bartoli, D.; Bierbrauer, J.; Kyureghyan, G.; Giulietti, M.; Marcugini, St.; Pambianco, F.
A family of semifields in characteristic 2.
J. Algebraic Combin. 45 (2017), no. 2, 455–473. - Kyureghyan, G.; Zieve, M.
Permutation polynomials of the form X+γTr(Xk).
Contemporary developments in finite fields and applications, 178–194, World Sci. Publ., Hackensack, NJ, 2016. (Preprint on arXiv) - Charpin, P.; Kyureghyan, G.; Suder, V.
Sparse permutations with low differential uniformity.
Finite Fields Appl. 28 (2014), 214–243. - Kyureghyan, G.; Suder, V.
On inversion in Z2n−1.
Finite Fields Appl. 25 (2014), 234–254. - Kyureghyan, G.
Special mappings of finite fields.
Finite fields and their applications, 117–144, Radon Ser. Comput. Appl. Math., 11, De Gruyter, Berlin, 2013. - Kyureghyan, G.; Müller, P.; Wang, Qi
On the size of Kakeya sets in finite vector spaces.
Electron. J. Combin. 20 (2013), no. 3, Paper 36, 10 pp. - Kyureghyan, G.; Özbudak, F.
Planarity of products of two linearized polynomials.
Finite Fields Appl. 18 (2012), no. 6, 1076–1088. - Kyureghyan, G.; Özbudak, F.; Pott, A.
Some planar maps and related function fields.
Arithmetic, geometry, cryptography and coding theory, 87–114, Contemp. Math., 574, Amer. Math. Soc., Providence, RI, 2012. - Kyuregyan, M. K.; Kyureghyan, G. M.
Irreducible compositions of polynomials over finite fields.
Des. Codes Cryptogr. 61 (2011), no. 3, 301–314. - Kyureghyan, G. M.
Constructing permutations of finite fields via linear translators.
J. Combin. Theory Ser. A 118 (2011), no. 3, 1052–1061. - Charpin, P.; Kyureghyan, G.
Monomial functions with linear structure and permutation polynomials.
Finite fields: theory and applications, 99–111, Contemp. Math., 518, Amer. Math. Soc., Providence, RI, 2010. - Kyureghyan, G.; Tan, Y.
On a family of planar mappings.
Enhancing cryptographic primitives with techniques from error correcting codes, 175–178,
NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur., 23, IOS, Amsterdam, 2009. - Charpin, P.; Kyureghyan, G.
When does G(x)+γTr(H(x)) permute Fpn?
Finite Fields Appl. 15 (2009), no. 5, 615–632. - Zha, Z.; Kyureghyan, G.; Wang, X.
Perfect nonlinear binomials and their semifields.
Finite Fields Appl. 15 (2009), no. 2, 125–133. - Charpin, P.; Kyureghyan, G.
On a class of permutation polynomials over F2n.
Sequences and their applications—SETA 2008, 368–376, Lecture Notes in Comput. Sci., 5203, Springer, Berlin, 2008. - Helleseth, T.; Kyureghyan, G.; Ness, G. J.; Pott, A.
On a family of perfect nonlinear binomials.
Boolean functions in cryptology and information security, 126–138, NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur., 18, IOS, Amsterdam, 2008. - Kyureghyan, G.; Pott, A.
Some theorems on planar mappings.
Arithmetic of finite fields, 117–122, Lecture Notes in Comput. Sci., 5130, Springer, Berlin, 2008. - Bey, Ch.; Kyureghyan, G.
On Boolean functions with the sum of every two of them being bent.
Des. Codes Cryptogr. 49 (2008), no. 1-3, 341–346. - Kyureghyan, G.
Minimal polynomials of the modified de Bruijn sequences.
Discrete Appl. Math. 156 (2008), no. 9, 1549–1553. - Charpin, P.; Kyureghyan, G.
Cubic monomial bent functions: a subclass of M.
SIAM J. Discrete Math. 22 (2008), no. 2, 650–665. - Canteaut, A.; Charpin, P.; Kyureghyan, G.
A new class of monomial bent functions.
Finite Fields Appl. 14 (2008), no. 1, 221–241. - Bierbrauer, J.; Kyureghyan, G.
Crooked binomials.
Des. Codes Cryptogr. 46 (2008), no. 3, 269–301. - Kyureghyan, G.
Crooked maps in F2n.
Finite Fields Appl. 13 (2007), no. 3, 713–726. - Kyureghyan, G.
The only crooked power functions are x2k+2l.
European J. Combin. 28 (2007), no. 4, 1345–1350. - Edel, Y.; Kyureghyan, G.; Pott, A.
A new APN function which is not equivalent to a power mapping.
IEEE Trans. Inform. Theory 52 (2006), no. 2, 744–747. - Kyureghyan, G.; Pott, A.
On the linear complexity of the Sidelnikov-Lempel-Cohn-Eastman sequences.
Proceedings of the Conference on Finite Geometries (Oberwolfach, 2001).
Des. Codes Cryptogr. 29 (2003), no. 1-3, 149–164. - Kyureghyan, G.
On a degree property of cross-intersecting families.
Combinatorica 21 (2001), no. 3, 449–453.