English

Essential arity gap of Boolean functions

Discrete Mathematics 2008-10-13 v2

Abstract

We investigate the Boolean functions with essential arity gap 2. We use Full Conjunctive Normal Forms instead of Zhegalkin's polynomials, which allow us to simplify the proofs and to obtain several combinatorial results, concerning the Boolean functions with a given arity gap.

Keywords

Cite

@article{arxiv.0808.3892,
  title  = {Essential arity gap of Boolean functions},
  author = {Slavcho Shtrakov},
  journal= {arXiv preprint arXiv:0808.3892},
  year   = {2008}
}

Comments

12 pages, J. of Computing, Serdika, IMI, BAS, Sofia

R2 v1 2026-06-21T11:14:40.822Z