@inproceedings{c99ea31c6a78438fa7c7feb7dfcb2509,
title = "Optimality of linear codes over PAM for the modulo-additive Gaussian channel",
abstract = "It has long been known that linear codes achieve the capacity of additive channels over finite fields. Much less has been known about the performance of linear codes over ℤ M, when used for communication over channels that are additive with respect to this group. Further, linear codes over ℤ M play an important role in construction of lattices in Euclidean space. When a construction-A lattice is used for communication over an additive white Gaussian noise channel, a modulo-Mℤ additive channel with unimodal noise is induced at the receiver. In this paper it is shown that linear codes over ℤ M achieve the capacity of such channels when the cardinality of the alphabet is a power of a prime.",
author = "Ayal Hitron and Uri Erez",
year = "2012",
doi = "https://doi.org/10.1109/ISIT.2012.6283576",
language = "الإنجليزيّة",
isbn = "9781467325790",
series = "IEEE International Symposium on Information Theory - Proceedings",
pages = "1742--1746",
booktitle = "2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012",
note = "2012 IEEE International Symposium on Information Theory, ISIT 2012 ; Conference date: 01-07-2012 Through 06-07-2012",
}