Small Logarithmic S-Boxes for Small Ciphers

Abstract

The substitution box (S-box) is one of the most important components in modern ciphers. This paper reports a new class of S-boxes defined by the logarithmic functions in GF(16). Due to their small sizes, these S-boxes can be used to construct a compact cipher for the devices with limited computing and memory resources, such as those in wireless sensor or mobile communications.