On Negabent Functions and Nega-Hadamard Transform
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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 f1∥f2 which is negabent function.
Based on them, the construction for generating the negabent functions by concatenation is given.
Finally, the function expressed as f(Ax⊕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.
American Psychological Association (APA)
Zhuo, Zepeng& Chong, Jinfeng. 2015. On Negabent Functions and Nega-Hadamard Transform. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1075193
Modern Language Association (MLA)
Zhuo, Zepeng& Chong, Jinfeng. On Negabent Functions and Nega-Hadamard Transform. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1075193
American Medical Association (AMA)
Zhuo, Zepeng& Chong, Jinfeng. On Negabent Functions and Nega-Hadamard Transform. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1075193
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075193