Wiretap encoding of lattices from number fields using codes over Fp

Wiretap encoding of lattices from number fields using codes over Fp

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 o...

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Bibliographic Details
Main Authors: Kositwattanarerk, Wittawat, Ong, Soon Sheng, Oggier, Frederique
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2013
Subjects:
DRNTU::Science::Mathematics::Applied mathematics::Information theory
Online Access:https://hdl.handle.net/10356/96682
http://hdl.handle.net/10220/17079
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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