Several classes of Boolean functions with few Walsh transform values
Several classes of Boolean functions with few Walsh transform values
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DOI：
10.1007/s00200-016-0298-3
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发表时间：
2015-06
期刊：
影响因子：
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通讯作者：
Guangkui Xu;X. Cao;Shanding Xu
中科院分区：
文献类型：
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作者：
Guangkui Xu;X. Cao;Shanding Xu
本文通过将两个或三个线性函数的乘积加到某些已知的Bent函数上，得到了几类具有少量沃尔什变换值的布尔函数，包括Bent、半Bent和五值函数。数值结果表明，所提出的类包含三次Bent函数，这些函数与所有已知的二次Bent函数是仿射不等价的。
In this paper, several classes of Boolean functions with few Walsh transform values, including bent, semi-bent and five-valued functions, are obtained by adding the product of two or three linear functions to some known bent functions. Numerical results show that the proposed class contains cubic bent functions that are affinely inequivalent to all known quadratic ones.