Construction of Semi-Bent Functions with High Algebraic Degrees
Construction of Semi-Bent Functions with High Algebraic Degrees
摘要
A class of semi-bent functions with an even number of variables is constructed by using the values of Kloosterman sums.These semi-bent functions are Boolean functions with four trace terms.Moreover,it is shown that the algebraic degrees of the new semi-bent functions attain the maximum values.
A class of semi-bent functions with an even number of variables is constructed by using the values of Kloosterman sums.These semi-bent functions are Boolean functions with four trace terms.Moreover,it is shown that the algebraic degrees of the new semi-bent functions attain the maximum values.
基金
Supported by the National Natural Science Foundation of China (60773002)
the National High Technology Research and Development Program of China (863 Program) (2007AA01Z472)
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