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Constructions of Semi-Bent Functions by Modifying the Supports of Quadratic Boolean Functions Feng HU Sihong SU Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E103-A No.5 pp.749-756 Publication Date: 2020/05/01 Online ISSN: 1745-1337 DOI: 10.1587/transfun.2019EAP1131 Type of Manuscript: PAPER Category: Cryptography and Information Security Keyword: Boolean function, bent function, semi-bent function, algebraic normal form, Full Text: PDF>>
Summary: 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 $f_1(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+1geq3$ and $f_2(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+2geq4$. Meanwhile, the algebraic normal forms of the newly constructed semi-bent functions are determined. | |||||
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