Nurdagul Anbar Meidl

Türkçe sürüm

Nurdagul Anbar Meidl

E-mail : nurdagul.meidlsabanciuniv.edu

Personal web page

Areas of Interest :

Function Fields and Algebraic Curves over Finite Fields: Rational points of curves, automorphisms, towers of function fields and their asymptotic properties, Drinfeld modular curves; Coding Theory: Algebraic Geometry Codes; Finite Galois Geometry and Cryptographically significant functions (particularly quadratic functions, their nonlinearity distribution) their applications to Coding Theory and their interaction with Algebraic Curves over Finite Fields; Boolean functions and functions from F_{p^n} to F_p: Functions with high nonlinearity, Bent functions (and their connections to coding theory, cryptography, finite geometry, difference sets), (Modified) Planar functions, Almost Perfect Nonlinear functions; Permutations: (Vectorial) Permutations over finite fields.

Publications :

Article
Alkan, Sezel and Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried (2024) "Bent partitions and LP-packings", IEEE Transactions on Information Theory, Vol.70, No.7, 5365-5375 (SCI)
Anbar Meidl, Nurdagül and Kudin, Sadmir and Meidl, Wilfried and Pasalic, Enes and Polujan, Alexandr (2024) "Vectorial negabent concepts: similarities, differences, and generalizations". Published Online First https://dx.doi.org/10.1007/s10623-024-01454-2
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried (2024) "Amorphic association schemes from bent partitions", Discrete Mathematics, Vol.347, No.1 (SCI)
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Yurdakul, Nihal (2024) "On the classification of non-exceptional APN functions". Published Online First https://dx.doi.org/10.1007/s00200-023-00642-2
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried and Riera, Constanza and Stănică, Pantelimon (2023) "P℘N functions, complete mappings and quasigroup difference sets", Journal of Combinatorial Designs, Vol.31, No.12, 667-690 (SCI)
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried (2023) "On generalized spread bent partitions", Cryptography and Communications, Vol.15, No.6, 1217-1234 (SCI)
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried (2023) "Generalized semifield spreads", Designs, Codes, and Cryptography, Vol.91, No.2, 545-562 (SCI)
Anbar Meidl, Nurdagül (2022) "On a special type of permutation rational functions". Published Online First http://dx.doi.org/10.1007/s00200-022-00592-1
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried (2022) "Bent partitions and partial difference sets", IEEE Transactions on Information Theory, Vol.68, No.10, 6894-6903 (SCI)
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried and Merai, Laszlo (2022) "On a class of functions with the maximal number of bent components", IEEE Transactions on Information Theory, Vol.68, No.9, 6174-6186 (SCI)
Anbar Meidl, Nurdagül and Meidl, Wilfried (2022) "Bent partitions", Designs, Codes, and Cryptography, Vol.90, No.4, 1081-1101 (SCI)
Anbar Meidl, Nurdagül and Güneş, Burçin (2022) "On nilpotent automorphism groups of function fields", Advances in Geometry, Vol.22, No.1, 69-78 (SCI)
Anbar Meidl, Nurdagül and Stichtenoth, Henning and Tutdere, Seher (2021) "Asymptotically good towers of function fields with small p-rank", Finite Fields and Their Applications, Vol.76 (SCI)
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried (2021) "Analysis of (n, n)-functions obtained from the Maiorana-McFarland class", IEEE Transactions on Information Theory, Vol.67, No.7, 4891-4901 (SCI)
Anbar Meidl, Nurdagül and Kaşıkçı, Canan (2021) "Permutations polynomials of the form G(X)(k) - L(X) and curves over finite fields", Cryptography and Communications, Vol.13, No.2, 283-294 (SCI)
Anbar Meidl, Nurdagül and Kaşıkcı, Canan and Meidl, Wilfried and Topuzoğlu, Alev (2020) "Shifted plateaued functions and their differential properties", Cryptography and Communications, Vol.12, No.6, 1091-1105 (SCI)
Anbar Meidl, Nurdagül and Tutdere, Seher (2020) "Belyi's theorems in positive characteristic", International Journal of Number Theory, Vol.16, No.6, 1355-1368 (SCI)
Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Meidl, Wilfried (2019) "Determining the Walsh spectra of Taniguchi's and related APN-functions", Finite Fields and Their Applications, Vol.60 (SCI)
Anbar Meidl, Nurdagül and Meidl, Wilfried and Pott, Alexander (2019) "Equivalence for negabent functions and their relative difference sets", Discrete Applied Mathematics, Vol.270, 1-12 (SCI)
Anbar Meidl, Nurdagül and Kaşıkcı, Canan and Topuzoğlu, Alev (2019) "On components of vectorial permutations of F-q(n)", Finite Fields and Their Applications, Vol.58, 124-132 (SCI)
Anbar Meidl, Nurdagül (2019) "Curves over finite fields and permutations of the form x(k) - gamma Tr(x)", Turkish Journal of Mathematics, Vol.43, No.1, 533-538 (SCI)
Anbar, Nurdagül and Stichtenoth, Henning (2013) "Curves of every genus with a prescribed number of rational points", Bulletin of the Brazilian Mathematical Society, Vol.44, No.2, 173-193 (SCI)
Before SU Publications:

  • N. Anbar, A. Ozdak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu: On the Carlitz rank of permutation polynomials over finite fields: Recent developments, In: Bouw I., Özman E., Johnson-Leung J., Newton R. (eds) Women in Number Europe II. Association for Women in Mathematics Series, 11 (2018) Springer, Cham, 39-55.

  • N. Anbar, W. Meidl: Modified planar functions and their components, Cryptography and Communications, 10 (2018), no. 2, 235-249.

  • N. Anbar, A. Ozdak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu: On the difference between permutation polynomials, Finite Fields and their Applications, 49 (2018), 132-142.

  • N. Anbar, P Beelen: A note on a tower by Bassa, Garcia and Stichtenoth, Functiones et Approximatio Commentarii Mathematici, 57 (2017), no. 1, 47-60.

  • N. Anbar, A. Bassa, P. Beelen: A complete characterization of Galois subfields of the generalized Giulietti-Korchmaros function field, Finite Fields and their Applications, 48 (2017), 318-330.

  • N. Anbar, W. Meidl: Bent and Bent_4 spectra of quadratic functions over F_{2^n}, Finite Fields and their Applications, 46 (2017), 163-178.

  • N. Anbar, P. Beelen, N. Nguyen: The exact limit of some cubic towers, in Arithmetic, geometry, cryptography and coding theory (AGCT 2015), Contemp. Math., 686 (2017), 1-15.

  • N. Anbar, P. Beelen, N. Nguyen: A new tower meeting Zink’s bound with good p-rank, Acta Arithmetica, 177 (2017), no. 4, 347-374.

  • N. Anbar, A. Bassa, P. Beelen: A modular interpretation of various cubic towers, Journal of Number Theory, 171 (2017), 341-357.

  • N. Anbar, W. Meidl, A. Topuzoglu: Idempotent and p-potent quadratic functions: Distribution of nonlinearity and co-dimension, Journal of Designs, Codes and Cryptography 82 (2017), no.1, 265-291.

  • N. Anbar, W. Meidl, A. Topuzoğlu: On the nonlinearity of idempotent quadratic functions and the weight distribution of subcodes of Reed-Muller codes, Proceedings of the 9th International Workshop on Coding and Cryptography 2015.

  • N. Anbar, W. Meidl: More on Quadratic functions and maximal Artin-Schreier curves, Applicable Algebra Engineering Communication and Computing, 26 (2015), no.5, 409-426.

  • N. Anbar, D. Bartoli, M. Giulietti, I. Platoni: Small complete caps from singular cubics, II,  Journal of Algebraic Combinatorics, 41 (2015), no.1, 185-216.

  • N. Anbar, W. Meidl: Quadratic functions and maximal Artin-Schreier curves, Finite Fields and their Applications, 30 (2014), 49-71.

  • N. Anbar, D. Bartoli, M. Giulietti, I. Platoni: Small complete caps from singular cubics, Journal of Combinatorial Designs, 22 (2014), no.10, 409-424.

  • N. Anbar W. Meidl: Quadratic functions and Artin-Schreier curves in odd characteristic, MPIM Preprint, 2014.

  • N. Anbar, H. Stichtenoth: On the number of rational points, Electronic Notes in Discrete Mathematics, 40 (2013), 21-26.

  • N. Anbar, D. Bartoli, S. Fanali, M. Giulietti: On the size of the automorphism group of a plane algebraic curve, Journal of Pure and Applied Algebra, 217 (2013), no.7, 1224 -1236.

  • N. Anbar, H. Stichtenoth: Curves of every genus with a prescribed number of rational points, Bulletin of the Brazilian Mathematical Society, 44 (2013), no.2, 173-193.

  • N. Anbar, M. Giulietti: Bicovering arcs and small complete caps from elliptic curves, Journal of Algebraic Combinatorics, 38 (2013), no. 2, 371-392.

  • N. Anbar, H. Stichtenoth, S. Tutdere: On ramification in the compositum of function fields, Bulletin of the Brazilian Mathematical Society, 40 (2009), no.4, 539 -552.

 

Working Papers 

  • N. Anbar, D. Bartoli, I. Platoni, M. Giulietti: Complete arcs and complete caps from cubics with an isolated double point, preprint. ArXiv: 1305.3420.

  • N. Anbar, D. Bartoli, I. Platoni, M. Giulietti: Small complete caps from nodal cubics, preprint. ArXiv: 1305.3019.

 

Thesis

  • Ph.D. Thesis: On algebraic curves in prime characteristic, Sabancı University, 2012.

  • M.Sc. Thesis: On ramification in extensions of rational function fields, Sabancı University, 2009.