On the Symmetric Negabent Boolean Functions

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• 作者：Sumanta Sarkar
• 关键词：Boolean function ; symmetric Boolean function ; negabent function ; nega ; Hadamard transform ; bent function ; Krawtchouk polynomial
• 刊名：Lecture Notes in Computer Science
• 出版年：2009
• 出版时间：2009
• 年：2009
• 卷：5922
• 期：1
• 页码：136-143
• 全文大小：155.2 KB

文摘

We study the negabent Boolean functions which are symmetric. The Boolean function which has equal absolute spectral values under the nega-Hadamard transform is called a negabent function. For a bent function, the absolute spectral values are the same under the Hadamard-Walsh transform. Unlike bent functions, negabent functions can exist on odd number of variables. Moreover, all the affine functions are negabent. We prove that a symmetric Boolean function is negabent if and only if it is affine.