Fundamentals of index coding

F Arbabjolfaei, YH Kim - Foundations and Trends® in …, 2018 - nowpublishers.com
Index coding is a canonical problem in network information theory that studies the
fundamental limit and optimal coding schemes for broadcasting multiple messages to …

Optimal scalar linear codes for a class of jointly extended groupcast index coding problems

C Arunachala, BS Rajan - 2019 IEEE International Symposium …, 2019 - ieeexplore.ieee.org
Groupcast index coding problem is the most general version of the classical index coding
problem, where any receiver can demand any number of messages and have any subset of …

The generalized X-join of Cayley graphs

A Herman, J Bagherian, H Memarzadeh - arXiv preprint arXiv:2203.07819, 2022 - arxiv.org
As a main result of this paper we give conditions under which the generalized $ X $-join of
Cayley graphs is a Cayley graph. In particular, we show that $ X $-join of isomorphic Cayley …

Groupcast Index Coding Problem: Joint Extensions

C Arunachala, BS Rajan - arXiv preprint arXiv:1810.11597, 2018 - arxiv.org
The groupcast index coding problem is the most general version of the classical index
coding problem, where any receiver can demand messages that are also demanded by …

Joint index coding and incentive design for selfish clients

YP Hsu, IH Hou, A Sprintson - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The index coding problem includes a server, a group of clients, and a set of data chunks.
While each client wants a subset of the data chunks and already has another subset as its …