[HTML][HTML] The Carlitz rank of permutations of finite fields: a survey

A Topuzoğlu - Journal of Symbolic Computation, 2014 - Elsevier
L. Carlitz proved that any permutation polynomial f of a finite field F q is a composition of
linear polynomials and the monomials xq− 2. This result motivated the study of Carlitz rank …

[HTML][HTML] Permutations of finite fields with prescribed properties

A Çeşmelioğlu, W Meidl, A Topuzoğlu - Journal of Computational and …, 2014 - Elsevier
Classes of permutations of finite fields with various specific properties are often needed for
applications. We use a recent classification of permutation polynomials using their Carlitz …

On the inversive pseudorandom number generator

W Meidl, A Topuzoğlu - Recent Developments in Applied Probability and …, 2010 - Springer
The inversive generator was introduced by J. Eichenauer and J. Lehn in 1986. A large
number of papers on this generator have appeared in the last three decades, some …

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