Combination Networks with or without Secrecy Constraints: The Impact of Caching Relays

TL;DR

This paper introduces a caching scheme for combination networks with relays, optimizing cache placement and delivery, and explores the impact of secrecy constraints on system performance.

Contribution

It develops a MDS coding-based caching scheme, analyzes secrecy constraints, and demonstrates how network topology influences performance under security requirements.

Findings

Server can disengage if caches suffice to store the database.

Lower bounds on delivery load are established using cut-set arguments.

Secrecy constraints significantly affect network performance.

Abstract

This paper considers a two-hop network architecture known as a combination network, where a layer of relay nodes connects a server to a set of end users. In particular, a new model is investigated where the intermediate relays employ caches in addition to the end users. First, a new centralized coded caching scheme is developed that utilizes maximum distance separable (MDS) coding, jointly optimizes cache placement and delivery phase, and enables decomposing the combination network into a set virtual multicast sub-networks. It is shown that if the sum of the memory of an end user and its connected relay nodes is sufficient to store the database, then the server can disengage in the delivery phase and all the end users' requests can be satisfied by the caches in the network. Lower bounds on the normalized delivery load using genie-aided cut-set arguments are presented along with second hop optimality. Next recognizing the information security concerns of coded caching, this new model is studied under three different secrecy settings: 1) secure delivery where we require an external entity must not gain any information about the database files by observing the transmitted signals over the network links, 2) secure caching, where we impose the constraint that end users must not be able to obtain any information about files that they did not request, and 3) both secure delivery and secure caching, simultaneously. We demonstrate how network topology affects the system performance under these secrecy requirements. Finally, we provide numerical results demonstrating the system performance in each of the settings considered.