Low c-differential uniformity of the swapped inverse function in odd characteristic

Abstract

The study of Boolean functions with low c-differential uniformity has become recently an important topic of research. However, in odd characteristic case, there are not many results on the (c-)differential uniformity of functions that are not power functions. In this paper, we investigate the c-differential uniformity of the swapped inverse functions in odd characteristic, and show that their c-differential uniformities are at most 6 except for some special case.