Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4949801 | Discrete Applied Mathematics | 2017 | 10 Pages |
Abstract
In this article, using rather elementary technique and the derived formula that relates the coefficients of a polynomial over a finite field and its derivative, we deduce many interesting results related to derivatives of Boolean functions and derivatives of mappings over finite fields. For instance, we easily identify several infinite classes of polynomials which cannot possess linear structures. The same technique can be applied for deducing a nontrivial upper bound on the degree of so-called planar mappings.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
E. Pasalic, A. MuratoviÄ-RibiÄ, S. HodziÄ, S. Gangopadhyay,