Open AccessPreimage Distributions of Perfect Nonlinear Functions and Vectorial Plateaued Functions
Author(s) -
XU Yuwei,
LIU Feng,
WU Chuankun
Publication year - 2019
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2019.06.013
Subject(s) - mathematics , nonlinear system , pure mathematics , arithmetic , topology (electrical circuits) , combinatorics , physics , quantum mechanics
By converting the problem of preimage distribution of a perfect nonlinear function with three binary outputs to that with two binary outputs, this paper presents the preimage distributions of perfect nonlinear functions with three binary outputs. This paper also characterizes the fundamental characterization of the preimage distribution of vectorial plateaued functions with single amplitude and its component functions being all unbalanced, and gives the preimage distributions of such functions with two or three binary outputs.