Enciphering with arbitrary small finite domains

Abstract

In this paper we present a new block cipher over a small finite domain T where |T | = k is either 216 or 232. After that we suggest a use of this cipher for enciphering members of arbitrary small finite domains M where M⊆T. With cost of an extra mapping, this method could be further extended for enciphering in arbitrary domain M′ where |M′ | = k′ ≤ k. At last, in a discussion section we suggest a few interesting usage scenarios for such a cipher as an argument that enciphering with arbitrary small finite domains is a very useful primitive on its own rights, as well as for designing of a higher level protocols.