On Balanced Semi-Bent Functions with High Algebraic Degrees

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概要

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• 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.

• 2011-03-01

著者

• Ma Wenping

  Ministry Of Education Key Lab. Of Computer Network And Information Security Xidian University

• HE YeFeng

  Ministry of Education Key Lab. of Computer Network and Information Security, Xidian University

• He Yefeng

  Ministry Of Education Key Lab. Of Computer Network And Information Security Xidian University

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