Title :
Multidimensional Walsh Transform and a Characterization of Bent Functions
Author :
Nyberg, Kaisa ; Hermelin, Miia
Author_Institution :
Helsinki Univ. of Technol., Helsinki
Abstract :
In this paper, a multidimensional Walsh transform is used to obtain a characterization of vector-valued bent function in terms of the value distributions of the translates of the function by linear functions.
Keywords :
Boolean functions; Walsh functions; cryptography; linear functions; multidimensional Walsh transform; value distributions; vector-valued bent function; Autocorrelation; Boolean functions; Cryptography; Distributed computing; Linear approximation; Linearity; Multidimensional systems; Virtual manufacturing;
Conference_Titel :
Information Theory for Wireless Networks, 2007 IEEE Information Theory Workshop on
Conference_Location :
Solstrand
Print_ISBN :
978-1-4244-1200-6
Electronic_ISBN :
978-1-4244-1200-6
DOI :
10.1109/ITWITWN.2007.4318037