Known-Key Attacks on Rijndael with Large Blocks and Strengthening ShiftRow Parameter

Abstract

In this paper, we present known-key attacks on block cipher Rijndael for 192-bit block and 256-bit block. Our attacks work up to 8 rounds for 192-bit block and 9 rounds for 256-bit block, which are one round longer than the previous best known-key attacks. We then search for the parameters for the ShiftRow operation which is stronger against our attacks than the one in the Rijndael specification. Finally, we show a parameter for 192-bit block which forces attackers to activate more bytes to generate a truncated differential path, and thus enhances the security against our attacks.