Achieving uniform side information gain with multilevel lattice codes over the ring of integers
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 πA lattices to index coding. We introduce a coding scheme, named CRT lattice index coding, using Construction πA over 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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