DocumentCode
86346
Title
On the Walsh Transform of a Class of Functions From Niho Exponents
Author
Nian Li ; Helleseth, Tor ; Kholosha, A. ; Xiaohu Tang
Author_Institution
Inf. Security & Nat. Comput. Grid Lab., Southwest Jiaotong Univ., Chengdu, China
Volume
59
Issue
7
fYear
2013
fDate
Jul-13
Firstpage
4662
Lastpage
4667
Abstract
In this paper, a class of functions from Niho exponents with four-valued Walsh transform is obtained for any prime by a uniform method, and the distribution of the Walsh transform values is also completely determined. In particular, this class of functions is proven to be bent for a special case. Although it is shown that the obtained bent functions are equivalent to the Leander-Kholosha´s class of bent functions, a direct and much simpler proof for the bentness of this kind of Niho functions is provided.
Keywords
Walsh functions; cryptography; transforms; Leander-Kholosha class; Niho exponents; bent functions; cryptographic functions; cryptographic properties; four-valued Walsh transform; functions class; Correlation; Cryptography; Educational institutions; Informatics; Information theory; Transforms; Distribution; Niho exponent; Parseval´s equation; Walsh transform;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2252053
Filename
6476720
Link To Document