- T. Kalaycı, H. Stichtenoth, A. Topuzoğlu, "Irreducible factors of a class of permutation polynomials", to appear in Finite Fields and Their Applications.
- N. Anbar, C. Kaşıkcı, A. Topuzoğlu, “On components of vectorial permutations of F_q^n”, Finite Fields and Their Applications, 58, (2019) 124-132.
- N. Anbar, A. Odzak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu, "On the differences of permutation polynomials", Finite Fields and Their Applications, 49, (2018) 132-142.
- N. Anbar, A. Odzak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu, "On the Carlitz rank of permutation polynomials: recent developments", (2018). In: Bouw I., Ozman E., Johnson-Leung J., Newton R. (eds) Women in Numbers Europe II. Association for Women in Mathematics Series, vol 11. Springer, Cham
- F. Pausinger, A. Topuzoğlu, "On the discrepancy of two families of permuted van der Corput sequences", Unif. Distrib. Theory 13 (2018), no.1, 47-64.
- L. Işık, A. Topuzoğlu, A. Winterhof, "Complete mappings and Carlitz rank", Des. Codes Cryptogr, 85 (2017), 121–128.
- 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.
- 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.