New infinite families of p-ary weakly regular bent functions
Information Theory
2015-08-25 v1 math.IT
Abstract
The characterization and construction of bent functions are challenging problems. The paper generalizes the constructions of Boolean bent functions by Mesnager \cite{M2014}, Xu et al. \cite{XCX2015} and -ary bent functions by Xu et al. \cite{XC2015} to the construction of -ary weakly regular bent functions and presents new infinite families of -ary weakly regular bent functions from some known weakly regular bent functions (square functions, Kasami functions, and the Maiorana-McFarland class of bent functions). Further, new infinite families of -ary bent idempotents are obtained.
Keywords
Cite
@article{arxiv.1508.05672,
title = {New infinite families of p-ary weakly regular bent functions},
author = {Yanfeng Qi and Chunming Tang and Zhengchun Zhou and Cuiling Fan},
journal= {arXiv preprint arXiv:1508.05672},
year = {2015}
}