Quadratic Bent Functions of Polynomial Forms and their Applications to Bent Sequences

Nam Yul Yu, Guang Gong · 2006

In this paper, the construction and enumeration of all bent functions represented by a quadratic polynomial form of f(x)=Sigmai=1n/2-1ciTr(x1+2i)+cn/2Tr1n/2(x1+2n/2), ciisinF2, are presented for a special case of n. The linear feedback shift register (LFSR) implementation of bent sequences adopting the quadratic bent functions is discussed for code-division multiple access (CDMA) communication systems

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