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On Negabent Functions and Nega-Hadamard Transform

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  • Zepeng Zhuo
  • Jinfeng Chong

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.

Suggested Citation

  • Zepeng Zhuo & Jinfeng Chong, 2015. "On Negabent Functions and Nega-Hadamard Transform," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, November.
  • Handle: RePEc:hin:jnlmpe:959617
    DOI: 10.1155/2015/959617
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