On non-existence of bent-negabent rotation symmetric Boolean functions
On non-existence of bent-negabent rotation symmetric Boolean functions
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DOI：
10.1016/j.dam.2017.11.001
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发表时间：
2018-02
期刊：
影响因子：
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通讯作者：
Bimal Mandal;Bhupendra Singh;S. Gangopadhyay;S. Maitra;V. Vetrivel
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文献类型：
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作者：
Bimal Mandal;Bhupendra Singh;S. Gangopadhyay;S. Maitra;V. Vetrivel
在本文中，我们提出了与自相关谱有关的弯曲负函数的表征。利用这一特性的一个特例，证明了在n= 2pk个变量中，当p为奇素数且k为任意正整数时，不存在弯曲负的旋转对称布尔函数。
In this communication, we present a characterization of bent–negabent functions, which is related to the autocorrelation spectra. A special case of this characterization is then exploited to prove that there is no rotation symmetric Boolean function in n= 2 p k variables which is bent–negabent when p is an odd prime and k is any positive integer.