A Class of Binomial Bent Functions Over the Finite Fields of Odd Characteristic

Wenjie Jia, Xiangyong Zeng, Tor Helleseth, Chunlei Li · IEEE Transactions on Information Theory · 2012

This paper studies a class of binomial functions over the finite fields of odd characteristic and characterizes their bentness in terms of the Kloosterman sums. Numerical results show that the proposed class contains bent functions that are affinely inequivalent to all known monomial and binomial ones.

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