In this thesis, we cover three major areas, namely, index coding, coded caching and gradient coding. We begin by considering unicast index coding problems where a server broadcasts coded messages over a noiseless channel, ...

A broadcast channel that is very effective for disseminating common content becomes highly inefficient when the users request different content. To address this inefficiency of the broadcast channel over which a server ...

Streaming codes are a class of erasure codes that operate on a stream of packets and enable recovery of dropped or erased packets under a decoding-delay constraint. The primary focus of this thesis is on providing constructions ...

It is well known that communication using multiple antennas provides high data rate and reliability. Coding across space and time is necessary to fully exploit the gains offered by multiple input multiple output (MIMO) ...

Space-Time Block Coding is an efficient communication technique used in multiple-input multiple-output wireless systems. The complexity with which a Space-Time Block Code (STBC) can be decoded is important from an ...

The paradigm of network coding was introduced as a means to conserve bandwidth (or equivalently increase throughput) in information flow networks. Network coding makes use of the fact that unlike physical commodities, ...

Cooperative relay communication is a promising means of wireless communication in which cooperation is used to create a virtual transmit array between the source and the destination, thereby providing spatial diversity for ...

Network coding has emerged as an attractive alternative to routing because of the through put improvement it provides by reducing the number of channel uses. In a wireless scenario, in addition, further improvement can be ...

This thesis deals with the problem of code design in the setting of distributed storage systems consisting of multiple storage nodes, storing many different data les. A primary goal in such systems is the efficient repair ...

In this thesis, three problems have been considered and new coding schemes have been devised for each of them. The first is related to distributed function computation, the second to coding for distributed storage and the ...