Order-preserving encryption schemes based on arithmetic coding and matrices

In this article we describe two alternative order-preserving encryption schemes. First scheme is based on arithmetic coding and the second scheme uses sequence of matrices for data encrypting. In the beginning of this paper we briefly describe previous related work published in recent time. Then we propose alternative variants of OPE and consider them in details. We examine drawbacks of these schemes and suggest possible ways of their improvement. Finally we present statistical results of implemented prototypes and discuss further work.