| Faculty of Engineering and Natural Sciences

Alev Topuzoğlu Faculty of Engineering and Natural Sciences Emeritus Faculty Member (216) 483 9507 alev@sabanciuniv.edu

Personal Web

http://people.sabanciuniv.edu/~alev/

Jobs

Emeritus Faculty Member

Education

B.Sc. in Mathematics, Middle East Technical University (METU), Ph.D. in Mathematics, University of London (England), 1982.

Areas of Interest

Uniformly distributed sequences; finite fields and applications; pseudo random numbers.

Anbar Meidl, Nurdagül and Kalaycı, Tekgül and Topuzoğlu, Alev (2025) "Analysis of functions of low differential uniformity in characteristic 2: a new approach (I)", IEEE Transactions on Information Theory. Published Online First https://dx.doi.org/10.1109/TIT.2025.3597162

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)

Kalaycı, Tekgül and Stichtenoth, Henning and Topuzoğlu, Alev (2020) "Permutation polynomials and factorization", Cryptography and Communications, Vol.12, No.5, 913-934 (SCI)

Kalaycı, Tekgül and Stichtenoth, Henning and Topuzoğlu, Alev (2020) "Irreducible factors of a class of permutation polynomials", Finite Fields and Their Applications, Vol.63 (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, Nurdagül and Odz̆ak, Almasa and Patel, Vandita and Quoos, Luciane and Somoza, Anna and Topuzoğlu, Alev (2018) "On the difference between permutation polynomials", Finite Fields and Their Applications, Vol.49, 132-142 (SCI)

Anbar, Nurdagül and Meidl, Wilfried and Topuzoğlu, Alev (2017) "Idempotent and p-potent quadratic functions: distribution of nonlinearity and co-dimension", Designs, Codes and Cryptography (SI), Vol.82, No.1-2, 265-291 (SCI)

Işık, Leyla and Topuzoğlu, Alev and Winterhof, Arne (2016) "Complete mappings and Carlitz rank", Designs, Codes, and Cryptography. Published Online First http://dx.doi.org/10.1007/s10623-016-0293-5

Kaşıkcı, Canan and Meidl, Wilfried and Topuzoğlu, Alev (2016) "Spectra of a class of quadratic functions: average behaviour and counting functions", Cryptography and Communications (SI), Vol.8, No.2, 191-214 (SCI)

Meidl, Wilfried and Sankhadip, Roy and Topuzoğlu, Alev (2014) "Enumeration of quadratic functions with prescribed Walsh spectrum", IEEE Transactions on Information Theory, Vol.60, No.10, 6669-6680 (SCI)

Topuzoğlu, Alev (2014) "The Carlitz rank of permutations of finite fields: a survey", Journal of Symbolic Computation (SI), Vol.64, 53-66 (SCI)

Çeşmelioğlu, Ayça and Meidl, Wilfried and Topuzoğlu, Alev (2014) "Permutations of finite fields with prescribed properties", Journal of Computational and Applied Mathematics, Vol.259, No.Part B, 536-545 (SCI)

Gómez-Pérez, Domingo and Ostafe, Alina and Topuzoğlu, Alev (2013) "On the Carlitz rank of permutations of F-q and pseudorandom sequences", Journal of Complexity, Vol.30, No.3, 279-289 (SCI)

Meidl, Wilfried and Topuzoğlu, Alev (2013) "Quadratic functions with prescribed spectra", Designs, Codes and Cryptography (SI), Vol.66, No.1-3, 257-273 (SCI)

Stichtenoth, Henning and Topuzoğlu, Alev (2012) "Factorization of a class of polynomials over finite fields", Finite Fields and Their Applications, Vol.18, No.1, 108-122 (SCI)

Aksoy, Esen and Çeşmelioğlu, Ayça and Meidl, Wilfried and Topuzoğlu, Alev (2009) "On the Carlitz rank of permutation polynomials", Finite Fields and Their Applications, Vol.15, No.4, 428-440 (SCI)

Çeşmelioğlu, Ayça and Meidl, Wilfried and Topuzoğlu, Alev (2008) "On the cycle structure of permutation polynomials", Finite Fields and Their Applications, Vol.14, No.issue , 593-614 (SCI)

Topuzoğlu, Alev and Winterhof, Arne (2005) "On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders", Applicable Algebra in Engineering, Communication and Computing, Vol.16, No.4, 219-228 (SCI)

Anbar, Nurdagül and Odžak, Almasa and Patel, Vandita and Quoos, Luciane and Somoza, Anna and Topuzoğlu, Alev, "On the Carlitz rank of permutation polynomials over finite fields: recent developments", Women in Numbers Europe II: Contributions to Number Theory and Arithmetic Geometry, Bouw, Irene I. and Ozman, Ekin and Johnson-Leung, Jennifer and Newton, Rachel (eds.), Springer Cham, June 2018, 39-55

Çeşmelioğlu, Ayça and Meidl, Wilfried and Topuzoğlu, Alev, "Partially bent functions and their properties", Applied Algebra and Number Theory: Essays in Honor of Harald Niederreiter on the Occasion of His 70th Birthday, Larcher, Gerhard and Pillichshammer, Friedrich and Winterhof, Arne and Xing, Chaoping (eds.), United Kingdom: Cambridge University Press, December 2014, 22-38

Pausinger, Florian and Topuzoğlu, Alev, "Permutations of finite fields and uniform distribution modulo 1", Algebraic Curves and Finite Fields: Cryptography and Other Applications, Niederreiter, Harald and Ostafe, Alina and Panario, Daniel and Winterhof, Arne (eds.), Berlin/Boston: De Gruyter 2014, 145-160

Meidl, Wilfried and Topuzoğlu, Alev, "On the inversive pseudorandom number generator", Recent Developments in Applied Probability and Statistics, Devroye, Luc and Karasözen, Bülent and Kohler, Michael and Korn, Ralf (eds.), Berlin Heidelberg, Germany: Springer-Verlag 2010, 103-125

Topuzoğlu, Alev and Winterhof, Arne, "Pseudorandom sequences", Topics in Geometry, Coding Theory and Cryptography, Dordrecht: Springer, November 2006, 135-166

MATHEMATICS