Title :
A Class of Binomial Bent Functions Over the Finite Fields of Odd Characteristic
Author :
Jia, Wenjie ; Zeng, Xiangyong ; Helleseth, Tor ; Li, Chunlei
Author_Institution :
Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China
Abstract :
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.
Keywords :
Computers; Educational institutions; Electronic mail; Materials; Polynomials; Transforms; Upper bound; $p$-ary bent function; Exponential sum; Kloosterman sum; Walsh transform; regular bent function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2199736
