Evaluating the indistinguishability of the XTS mode in the proposed security model

Abstract

In this paper, we consider the indistinguishability of XTS in some security models for both full final block and partial final block cases. Firstly, some evaluations of the indistinguishability up-to-block are presented. Then, we present a new security model in which the adversary can not control sector number, based on an $\epsilon$-collision resistant function. In this model, we give a bound of the distinguishing advantage that the adversary can get when attacks on XTS. The received results is an extension of \cite{6}