On Negabent Functions and Nega-Hadamard Transform

Zepeng Zhuo and Jinfeng Chong

Mathematical Problems in Engineering, 2015, vol. 2015, 1-8

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 on which is negabent function. Based on them, the construction for generating the negabent functions by concatenation is given. Finally, the function expressed as is discussed. The nega-Hadamard transform and nega-autocorrelation coefficient of this function are derived. By applying these results, some properties are obtained.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:959617

DOI: 10.1155/2015/959617

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