- N. Anbar, A. Odzak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu, "On permutation polynomials over finite fields: differences and iterations", Preprint, 2017.
- N. Anbar, A. Odzak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu, "On the differences of permutation polynomials over finite fields", Preprint, 2017.
- F. Pausinger, A. Topuzoğlu, "On the discrepancy of two families of permuted van der Corput sequences", Preprint, 2017.
- N. Anbar, W. Meidl, A. Topuzoğlu, " Idempotent and p-potent quadratic functions: distribution of nonlinearity and co-dimension", Des. Codes Cryptogr, 82, (2017), 1, 265-291.
- L. Işık, A. Topuzoğlu, A. Winterhof, "Complete mappings and Carlitz rank", Des. Codes Cryptogr. (2016), DOI: 1007/s10623-016-0293-5.
- C. Kaşıkcı, W. Meidl, A. Topuzoğlu, "Spectra of a class of quadratic functions: Average behaviour and counting functions", Cryptogr. Commun, 8 (2016), no. 2, 191–214.
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, “Partially bent functions and
their properties”,
*Applications of Algebra and Number Theory.*G. Larcher, F. Pillichshammer, A. Winterhof , C. Xing (Ed), 22-38, Cambridge University Press, 2014. - W. Meidl, S. Roy, A. Topuzoğlu, “Enumeration of quadratic functions with prescribed spectra”, IEEE Trans. Information Theory, 60, (2014), 6669-6680.
- F. Pausinger, A. Topuzoğlu, “Permutations of finite fields and uniform
distribution modulo 1”,
*Algebraic Curves and Finite Fields; Codes, cryptography, and other emerging applications*. H. Niederreiter, A. Ostafe, D. Panario, A. Winterhof (Ed), Radon Series on Computational and Applied Mathematics, de Gruyter. 145-157 (2014) ISBN: 978-3-11-031788-6. - D. Gomez-Perez, A. Ostafe, A. Topuzoğlu, "On the Carlitz rank of permutations of Fq and pseudorandom sequences", Journal of Complexity, 30 (2014) 279-289.
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, "Permutations with prescribed properties" Journal of Computational and Applied Mathematics, 259 B (2014) 536-545.
- A. Topuzoğlu, “Carlitz rank of permutations of finite fields: A survey”, Journal of Symbolic Computation 64 (2014) 53–66.
- W, Meidl, A. Topuzoğlu, “Quadratic functions with prescribed spectra”, Designs, Codes and Cryptography, 66, (2013), 257-273.
- H. Stichtenoth, A. Topuzoğlu, “Factorization of a class of polynomials over finite fields”, Finite Fields and their Applications, 18, (2012), No. 1, 108-122.
- W. Meidl, A. Topuzoğlu, On the inversive Pseudorandom Number Generator,
*Recent Developments in Applied Probability and Statistics*, L. Devroye, B. Karasözen, M. Kohler, R. Korn (Ed), Springer-Verlag, Berlin Heidelberg, 103-125 (2010) ISBN: 978-3-7908-2598-5 ; 978-3-7908-2597-8 - E. Aksoy, A. Çaşmelioğlu, W. Meidl, A. Topuzoğlu, “On the Carlitz Rank of Permutation Polynomials", Finite Fields and their Applications, 15, (2009), 428-440.
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, “Enumeration of a class sequences generated by inversions” , Proc. of the 1st Int. Workshop on Coding and Cryptology, Fujian, China, Series in Coding Theory and Cryptology, 4, World Scientific Publishing Co., Singapore, (2008).
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, “On the cycle structure of permutation polynomials of finite fields” Finite Fields and their Applications,, 14, (2008), 593-614.
- A. Topuzoğlu, A. Winterhof, “Pseudorandom Sequences”, Topics in Geometry, Coding Theory and Cryptology Algebra and Applications, (2007), Springer Verlag.

Recent Works

- F. Pausinger, A. Topuzoğlu, “Permutations of finite fields and uniform distribution modulo 1”, submitted.
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, “Partially bent functions and their properties”, submitted.
- W. Meidl, S. Roy, A. Topuzoğlu, “Enumeration of quadratic functions with prescribed spectra”, submitted.
- D. Gomez-Perez, A. Ostafe, A. Topuzoğlu, "On the Carlitz rank of permutations of Fq and pseudorandom sequences", Journal of Complexity, http://dx.doi.org/10.1016/j.jco.2013.11.001.
- A. Topuzoğlu, “Carlitz rank of permutations of finite fields: A survey”, Journal of Symbolic Computation, in press.
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, “Permutations with prescribed properties”, Journal of Computational and Applied Mathematics, http://dx.doi.org/10.1016/j.cam.2013.07.036
- W, Meidl, A. Topuzoğlu, “Quadratic functions with prescribed spectra”, Designs, Codes and Cryptography, 66, (2013), 257-273.
- H. Stichtenoth, A. Topuzoğlu, “Factorization of a class of polynomials over finite fields”, Finite Fields and their Applications, 18, (2012), No. 1, 108-122.
- W. Meidl, A. Topuzoğlu, On the inversive Pseudorandom Number Generator, Recent Developments in Applied Probability and Statistics, L. Devroye, B. Karasözen, M. Kohler, R. Korn (Ed), Springer-Verlag, Berlin Heidelberg, 103-125 (2010) ISBN: 978-3-7908-2598-5 ; 978-3-7908-2597-8
- E. Aksoy, A. Çaşmelioğlu, W. Meidl, A. Topuzoğlu, “On the Carlitz Rank of Permutation Polynomials, Finite Fields and their Applications, 15, (2009), 428-440.
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, “Enumeration of a class sequences generated by inversions” , Proc. of the 1st Int. Workshop on Coding and Cryptology, Fujian, China, Series in Coding Theory and Cryptology, 4, World Scientific Publishing Co., Singapore, (2008).
- A. Çeşmelioğlu, W. Meidl, A. Topuzoğlu, “On the cycle structure of permutation polynomials of finite fields” Finite Fields and their Applications,, 14, (2008), 593-614.
- A. Topuzoğlu, A. Winterhof, “Pseudorandom Sequences”, Topics in Geometry, Coding Theory and Cryptology Algebra and Applications, (2007), Springer Verlag.
- A. Topuzoğlu, A. Winterhof, “On the linear complexity profile of nonlinear congruential pseudorandom generators of higher orders” Appl. Alg. in Eng, Comm and Comp, 16, 4 (219-228), (2005).

Talks (selection):

- “Van der Corput sequences and permutation polynomials over finite fields”, Workshop on uniform distribution and quasi-Monte Carlo methods”, RICAM; Linz, Austria, October 2013.
- “Enumeration of quadratic functions with prescribed spectra”, Fq11, Magdeburg, Germany, July, 2013.
- “Sonlu cisimler üzerinde permutasyon polinomları”, Kadın ve Bilim II, Association of Turkish Women in Mathematics, Bahçeşehir University, February, 2013.
- “Gender Fair Science: Still a long way to go”, 6. International “Mirror Conference” Statistical and condensed matter physics-Social responsability, Sabancı University, December, 2012.
- “Enumeration of quadratic functions with prescribed spectra”, Combinatorics 2012, Perugia, Italy, September, 2012.
- “On the Carlitz rank of permutations of finite fields”, Finite fields and their applications: Character sums and polynomials, Strobl, Austria, September, 2012.
- “Carlitz rank of permutation polynomials”, Workshop on Mathematical Cryptology, WMC 12, Castro Urdiales, Spain, June, 2012.
- “Quadratic functions with prescribed spectra”, WCC 2011, Inria, Paris, April, 2011.
- “On a class of APN permutations”, YACC 2010, Porqueyrolles, France, April, 2010
- “On the cycle structure of permutation polynomilas of finite fields”, IWCC, Wuji Mountain, China, June, 2007.
- “Pseudorandom sequences over finite fields”, State Key Laboratories, Beijing, China, June, 2007,
- “Pseudorandom sequences and permutation polynomials” Institute for Experimental Mathematics, Essen, Germany, January, 2007.
- “Pseudorandom sequences” Escola de Algebra, Dimantina, Brazil, July 2006.
- “Pseudo random number generators I, II”, Palermo, Italy, April, 2006.
- “On the distribution of Congruential Pseudorandom Sequences of Higher Orders” Finite Fields, Oberwolfach, Germany, December, 2004.
- “On the linear Complexity of Congruential Pseudorandom Sequences of Higher Orders”, Number Theoretic Algorithms, Strobl, Austria, September, 2004.

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