On Negabent Functions and Nega-Hadamard Transform. (8th November 2015)

• Record Type: Journal Article
• Authors: Zhuo, Zepeng; Chong, Jinfeng
• Other Names: Gardini Laura Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-11-08
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/959617
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The Boolean function which has equal absolute spectral values under the nega-Hadamard transform is called negabent function. In this paper, the special Boolean functions by concatenation are presented. We investigate their nega-Hadamard transforms, nega-autocorrelation coefficients, sum-of-squares indicators, and so on. We establish a new equivalent statement onf 1 ∥ f 2 which is negabent function. Based on them, the construction for generating the negabent functions by concatenation is given. Finally, the function expressed asf ( A x ⊕ a ) ⊕ b · x ⊕ c is discussed. The nega-Hadamard transform and nega-autocorrelation coefficient of this function are derived. By applying these results, some properties are obtained.