Golden-Coded Index Coding

TL;DR

This paper introduces golden-coded index coding for MIMO networks, partitioning golden codes into subcodes to enhance performance based on users' side information, with exponential improvements in minimum determinant.

Contribution

It proposes a novel golden-coded index coding scheme for 2x2 MIMO systems that improves code performance by leveraging side information, a first of its kind approach.

Findings

Minimum determinant increases exponentially with side information

Scheme tailored for 2x2 MIMO systems

Enhances code robustness based on side information

Abstract

We study the problem of constructing good space-time codes for broadcasting $K$ independent messages over a MIMO network to $L$ users, where each user demands all the messages and already has a subset of messages as side information. As a first attempt, we consider the $2\times 2$ case and propose golden-coded index coding by partitioning the golden codes into $K$ subcodes, one for each message. The proposed scheme is shown to have the property that for any side information configuration, the minimum determinant of the code increases exponentially with the amount of information contained in the side information.