Title :
Construction and secrecy gain of a family of 5-modular lattices
Author :
Xiaolu Hou ; Fuchun Lin ; Oggier, Frederique
Author_Institution :
Div. of Math. Sci., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
The secrecy gain of a lattice is a lattice invariant used to characterize wiretap lattice codes for Gaussian channels. The secrecy gain has been classified for unimodular lattices up to dimension 23, and so far, a few sparse examples are known for l-modular lattices, with l = 2, 3. We propose some constructions of 5-modular lattices via the Construction A of lattices from linear codes, and study the secrecy gain of the resulting lattices.
Keywords :
Gaussian channels; channel coding; linear codes; 5-modular lattice; Gaussian channel code; linear code; secrecy lattice gain; unimodular lattice classification; wiretap lattice code; Educational institutions; Electronic mail; Generators; Lattices; Linear codes; Vectors; Zinc;
Conference_Titel :
Information Theory Workshop (ITW), 2014 IEEE
Conference_Location :
Hobart, TAS
DOI :
10.1109/ITW.2014.6970804