Wiretap encoding of lattices from number fields using codes over Fp
Ong, Soon Sheng
Date of Issue2013
IEEE International Symposium on Information Theory (2013 : Istanbul, Turkey)
School of Physical and Mathematical Sciences
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.
DRNTU::Science::Mathematics::Applied mathematics::Information theory
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