The nonlinearity and Hamming weights of rotation symmetric Boolean functions of small degree

Let $e$, $l$ and $n$ be integers such that $1\le e<n$ and $3\le l\le n$. Let $\left\langle {i} \right\rangle$ denote the least nonnegative residue of $i \mod n$. In this paper, we investigate the following Boolean function $$F_{l, e}^n(x^n)=\sum_{i=0}^{n-1}x_{i} x_{\left\langle {i + e} \right...

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Bibliographic Details
Main Authors: Liping Yang, Shaofang Hong, Yongchao Xu
Format: Article
Language:English
Published: AIMS Press 2020-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020294/fulltext.html