2- and 3-modular Lattice Wiretap Codes in Small Dimensions
Abstract
A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion that lattice coding produces at an eavesdropper. Following up the study of unimodular lattice wiretap codes [1], this paper investigates 2- and 3-modular lattices and compares them with unimodular lattices. Most even 2- and 3-modular lattices are found to have better performance, that is, a higher secrecy gain than the best unimodular lattices in dimension n, n is between 2 and 23. Odd 2-modular lattices are considered, too, and three lattices are found to outperform the best unimodular lattices.
Cite
@article{arxiv.1304.4440,
title = {2- and 3-modular Lattice Wiretap Codes in Small Dimensions},
author = {Fuchun Lin and Frédérique Oggier and Patrick Solé},
journal= {arXiv preprint arXiv:1304.4440},
year = {2013}
}
Comments
17 pages, 2 figures, journal. arXiv admin note: text overlap with arXiv:1201.3688