Abstract
We compute the Walsh spectrum of a new quadratic APN function, x 3 + Tr(x9), showing that its Walsh transform is 3-valued for odd n, and is 5-valued for even n. Therefore, the distribution of the values of the Walsh transform of x3 + Tr(x9) is the same as that of the APN Gold functions. Moreover, for odd n the function is AB, which gives an alternative proof of the APN property of the function. © Springer-Verlag Berlin Heidelberg 2007.
Cite
CITATION STYLE
Bracken, C., Byrne, E., Markin, N., & McGuire, G. (2007). On the walsh spectrum of a new APN function. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4887 LNCS, pp. 92–98). Springer Verlag. https://doi.org/10.1007/978-3-540-77272-9_6
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
