Complete mappings and Carlitz rank

Leyla Işık, Alev Topuzoğlu, Arne Winterhof

The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that for any $d\ge 2$ and any prime $p>(d^2-3d+4{)}^2$ there is no complete mapping polynomial in $\m…