Extended biprojective APN functions

본문 미리보기

Almost perfect nonlinear (APN) functions provide optimal resistance to differential cryptanalysis in characteristic two, and constructing new infinite families inequivalent to the known ones remains an important problem in the study of cryptographic functions. We introduce extended biprojective functions, obtained by augmenting biprojective polynomials with truncated trace terms, and establish a new infinite family of quadratic APN functions. To investigate these constructions, we develop an eff