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On the degree of homogeneous bent functions
Authors:Qingshu Meng  Huanguo Zhang
Affiliation:a Computer School, Wuhan University, Hubei 430072, China
b International School of Software, Wuhan University, Hubei 430072, China
Abstract:In this paper, the degree of homogeneous bent functions is discussed. We prove that for any nonnegative integer k, there exists a positive integer N such that for n?N there exist no 2n- variable homogeneous bent functions having degree n-k or more, where N is the least integer satisfying View the MathML source.
Keywords:Cryptography  Homogeneous bent functions  Fourier transform
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