Investigations on Bent and Negabent Functions via the Nega-Hadamard Transform

Parker considered a new type of discrete Fourier transform, called nega-Hadamard transform. We prove several results regarding its behavior on combinations of Boolean functions and use this theory to derive several results on negabentness (that is, flat nega-spectrum) of concatenations, and partiall...

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Veröffentlicht in:	IEEE transactions on information theory 2012-06, Vol.58 (6), p.4064-4072
Hauptverfasser:	Stanica, P., Gangopadhyay, S., Chaturvedi, A., Gangopadhyay, A. K., Maitra, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Bent and negabent functions Boolean functions Construction Correlation Fourier transforms Hadamard and nega-Hadamard transforms Information theory Kernel Mapping Mathematical functions Polynomials Transforms Upper bounds
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