Wiretap encoding of lattices from number fields using codes over Fp
Author
Kositwattanarerk, Wittawat
Ong, Soon Sheng
Oggier, Frederique
Date of Issue
2013Conference Name
IEEE International Symposium on Information Theory (2013 : Istanbul, Turkey)
School
School of Physical and Mathematical Sciences
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.
Subject
DRNTU::Science::Mathematics::Applied mathematics::Information theory
Type
Conference Paper
Rights
© 2013 Institute of Electrical and Electronics Engineers (IEEE).
Collections
http://dx.doi.org/10.1109/ISIT.2013.6620699
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