On the arity gap of polynomial functions

Details On the arity gap of polynomial functions On the arity gap of polynomial functions

2011-04-04

arxiv.org/abs/1104.0595v1

Mathematics

Rings and Algebras

11 pages

Scientific paper

The authors' previous results on the arity gap of functions of several variables are refined by considering polynomial functions over arbitrary fields. We explicitly describe the polynomial functions with arity gap at least 3, as well as the polynomial functions with arity gap equal to 2 for fields of characteristic 0 and finite fields of characteristic 2. These descriptions are given in the form of decomposition schemes of polynomial functions.

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