Title :
On Quadratic Bent Functions in Polynomial Forms
Author :
Hu, Honggang ; Feng, Dengguo
Author_Institution :
Chinese Acad. of Sci., Beijing
fDate :
7/1/2007 12:00:00 AM
Abstract :
In this correspondence, we construct some new quadratic bent functions in polynomial forms by using the theory of quadratic forms over finite fields. The results improve some previous work. Moreover, we solve a problem left by Yu and Gong in 2006.
Keywords :
Boolean functions; polynomial approximation; Boolean function; Hadamard transform; finite fields; polynomial forms; quadratic bent functions; Binary sequences; Boolean functions; Cryptography; Electronic mail; Error correction codes; Galois fields; Hamming distance; Information security; Polynomials; Sufficient conditions; Bent function; Boolean function; Hadamard transform; maximum nonlinearity; quadratic form; semi-bent function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.899553
