Constructions of Semi-Bent Functions by Modifying the Supports of Quadratic Boolean Functions

DOI Web Site 参考文献23件
  • HU Feng
    International Education College, Henan University
  • SU Sihong
    School of Mathematics and Statistics, Henan University

この論文をさがす

説明

<p>Semi-bent functions have almost maximal nonlinearity. In this paper, two classes of semi-bent functions are constructed by modifying the supports of two quadratic Boolean functions $f_1(x_1,x_2,\cdots,x_n)=\bigoplus\limits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+1\geq3$ and $f_2(x_1,x_2,\cdots,x_n)=\bigoplus\limits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+2\geq4$. Meanwhile, the algebraic normal forms of the newly constructed semi-bent functions are determined.</p>

収録刊行物

参考文献 (23)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ