Achieving uniform side information gain with multilevel lattice codes over the ring of integers

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

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arXiv · 2501.14921

Achieving uniform side information gain with multilevel lattice codes over the ring of integers

Juliana G. F. Souza·Sueli I. R. Costa

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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 $\pi_A$ lattices to index coding. We introduce a coding scheme, named \textit{CRT lattice index coding}, using Construction $\pi_A$ over $\mathbb{Z}$ 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.

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Juliana G. F. Souza, Sueli I. R. Costa. 2025-01-24. Achieving uniform side information gain with multilevel lattice codes over the ring of integers. https://arxiv.org/abs/2501.14921

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