Wiretap encoding of lattices from number fields using codes over Fp

Abstract

We consider the problem of communication over a block fading wiretap channel. It is known that coding for such a channel can be done using nested lattice codes constructed over totally real number fields. In this paper, we propose a method for encoding an integral lattice over the ring of integers of a totally real number field, and study in particular the case of Q( ζp+ζ-1p ) using a linear code over Fp. This generalizes the wellknown Construction A and provides an efficient coset encoding for algebraic lattices.