Achieving Uniform Side Information Gain With Multilevel Lattice Codes Over the Ring of Integers

IF 3.7 3区计算机科学 Q2 TELECOMMUNICATIONS

IEEE Communications Letters Pub Date : 2025-03-23 DOI:10.1109/LCOMM.2025.3573236

Juliana G. F. Souza;Sueli I. R. Costa

引用次数: 0

Abstract

The index coding problem aims to optimise broadcast communication by exploring side information available at the receivers. In this work, we investigate the use of Construction

$\pi _{A}$

lattices over the ring of integers

$\mathbb {Z}$

for index coding and establish algebraic conditions on the code generators to guarantee uniform side information gain. The effectiveness of the proposed approach is demonstrated through theoretical analysis and explicit code design examples.

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用整数环上的多层格码实现一致边信息增益

索引编码问题旨在通过探索接收端可用的侧信息来优化广播通信。在这项工作中，我们研究了在整数环$\mathbb {Z}$上使用构造$\pi _{A}$格进行索引编码，并在代码生成器上建立了保证均匀侧信息增益的代数条件。通过理论分析和明确的代码设计实例证明了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Communications Letters 工程技术-电信学

CiteScore

8.10

自引率

7.30%

发文量

590

审稿时长

2.8 months

期刊介绍： The IEEE Communications Letters publishes short papers in a rapid publication cycle on advances in the state-of-the-art of communication over different media and channels including wire, underground, waveguide, optical fiber, and storage channels. Both theoretical contributions (including new techniques, concepts, and analyses) and practical contributions (including system experiments and prototypes, and new applications) are encouraged. This journal focuses on the physical layer and the link layer of communication systems.