Title :
Several New Classes of Bent Functions From Dillon Exponents
Author :
Nian Li ; Helleseth, Tor ; Xiaohu Tang ; Kholosha, A.
Author_Institution :
Inf. Security & Nat. Comput. Grid Lab., Southwest Jiaotong Univ., Chengdu, China
Abstract :
Several new classes of binary and p-ary regular bent functions are obtained in this paper. The bentness of all these functions is determined by some exponential sums over finite fields, most of which have close relations with the well-known Kloosterman sums.
Keywords :
Boolean functions; polynomials; Dillon exponents; Kloosterman sums; binary regular bent functions; exponential sums; finite fields; p-ary regular bent functions; Boolean functions; Educational institutions; Indexes; Informatics; Polynomials; Silicon; Transforms; $p$-ary bent function; Dickson polynomial; Kloosterman sum; binary bent function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2229782
