Effective Construction of a Class of Bent Quadratic Boolean Functions

  title={Effective Construction of a Class of Bent Quadratic Boolean Functions},
  author={Chunming Tang and Yanfeng Qi},
In this paper, we consider the characterization of the bentness of quadratic Boolean functions of the form f(x) = ∑ m 2 −1 i=1 Tr n 1 (cix 1+2ei)+Tr n/2 1 (cm/2x 1+2n/2), where n = me, m is even and ci ∈ GF (2 ). For a general m, it is difficult to determine the bentness of these functions. We present the bentness of quadratic Boolean function for two cases: m = 2p and m = 2pq, where p and q are two distinct primes. Further, we give the enumeration of quadratic bent functions for the case m… CONTINUE READING
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