On Balanced Semi-Bent Functions with High Algebraic Degrees

On Balanced Semi-Bent Functions with High Algebraic Degrees

A class of balanced semi-bent functions with an even number of variables is proposed. It is shown that they include one subclass of semi-bent functions with maximum algebraic degrees. Furthermore, an example of semi-bent functions in a small field is given by using the zeros of some Kloosterman sums...

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Veröffentlicht in:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2011/03/01, Vol.E94.A(3), pp.1019-1022
Hauptverfasser: HE, YeFeng, MA, WenPing
Format: Artikel
Sprache:eng
Schlagworte:
Boolean function
Hadamard transform
Kloosterman sum
semi-bent function
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Zusammenfassung:A class of balanced semi-bent functions with an even number of variables is proposed. It is shown that they include one subclass of semi-bent functions with maximum algebraic degrees. Furthermore, an example of semi-bent functions in a small field is given by using the zeros of some Kloosterman sums. Based on the result given by S. Kim et al., an example of infinite families of semi-bent functions is also obtained.
ISSN:0916-8508
1745-1337
DOI:10.1587/transfun.E94.A.1019