Diestelkamp, Hartke and Kenney recently studied local permutation polynomials over finite field Fs and proved that 2s−4 is the sharp bound of their degrees when s>3. In this paper, we focus on local permutation polynomials over residue class rings. We prove two specific formulas computing the number and the sharp bound of degrees of local permutation polynomials modulo pn respectively.
|Journal||Taiwanese Journal of Mathematics|
|Publication status||Published - 2009|