More Di fferential Paths of TIB3

The TIB3-256 hashing algorithm [3] is a first round candidate in the SHA-3 competition [2]. Properties of the message expansion and the PHTX function are observed, and then exploited to create new high-probability differential paths through the compression function. Examples conforming to the differential paths are presented. Only one of these differential paths can be applied to the tweaked version of TIB3v2 [4]. Due to the dual-block input mode used in TIB3 and TIB3v2, these differential paths do not seem extensible to the full hash functions. Note: In the time between when this paper was written and when the paper was made public, the SHA-3 Round 2 Candidates were announced, and TIB3 had been eliminated from the competition.