Constructions of quadratic bent functions in polynomial forms

Authors:
N. Y. Yu;G. Gong
Affiliations:
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

In this correspondence, the constructions and enumerations of all bent functions represented by a polynomial form of f(x)=Σi=1n2-1/ciTr(x1+2(i))+cn2/Tr1n 2/(x1+2(n2)/), ci∈2 F2 are presented for special cases of n. Using an iterative approach, the construction of bent functions of n variables with degree n/2 is also provided using the constructed quadratic bent functions.