On the Fourier spectra of new APN functions

• Main Authors: Tan, Yin, Qu, Longjiang, Ling, San, Tan, Chik How
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics::Discrete mathematics
• Online Access: https://hdl.handle.net/10356/101532; http://hdl.handle.net/10220/18665
• Institution: Nanyang Technological University

Almost perfect nonlinear (APN) functions on F2n are functions achieving the lowest possible differential uniformity. All APN functions discovered until now are either power or quadratic ones, except for one sporadic multinomial nonquadratic example on F26 due to Edel and Pott. It is well known tha...