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Title: Wiretap encoding of lattices from number fields using codes over Fp
Authors: Kositwattanarerk, Wittawat
Ong, Soon Sheng
Oggier, Frederique
Keywords: DRNTU::Science::Mathematics::Applied mathematics::Information theory
Issue Date: 2013
Source: Kositwattanarerk, K., Ong, S. S., & Oggier, F. (2013). Wiretap Encoding of Lattices from Number Fields Using Codes over Fp. IEEE International Symposium on Information Theory, pp.2612-2616.
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.
DOI: 10.1109/ISIT.2013.6620699
Rights: © 2013 Institute of Electrical and Electronics Engineers (IEEE).
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Conference Papers

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