Achieving uniform side information gain with multilevel lattice codes over the ring of integers
Information Theory
2025-01-28 v1 math.IT
Abstract
The index coding problem aims to optimise broadcast communication by taking advantage of receiver-side information to improve transmission efficiency. In this letter, we explore the application of Construction lattices to index coding. We introduce a coding scheme, named \textit{CRT lattice index coding}, using Construction over to address the index coding problem. It is derived an upper bound for side information gain of a CRT lattice index code and conditions for the uniformity of this gain. The efficiency of this approach is shown through theoretical analysis and code design examples.
Cite
@article{arxiv.2501.14921,
title = {Achieving uniform side information gain with multilevel lattice codes over the ring of integers},
author = {Juliana G. F. Souza and Sueli I. R. Costa},
journal= {arXiv preprint arXiv:2501.14921},
year = {2025}
}
Comments
Submitted to IEEE Communications Letters