A Coded Caching Scheme with Linear Sub-packetization and its Application to Multi-Access Coded Caching
Anjana A. Mahesh, B. Sundar Rajan

TL;DR
This paper introduces a novel coded caching scheme with linear sub-packetization growth, enabling efficient data delivery in multi-access systems and achieving near-optimal performance in certain scenarios.
Contribution
A new coded caching scheme with linear sub-packetization growth and instantaneously decodable delivery, applicable to multi-access setups, improving efficiency and optimality.
Findings
Sub-packetization grows linearly with number of users
Scheme achieves near-optimal rates in multi-access scenarios
No restriction on file size in the proposed scheme
Abstract
This paper addresses the problem of exponentially increasing sub-packetization with the number of users in a centralized coded caching system by introducing a new coded caching scheme inspired by the symmetric neighboring consecutive side information index coding problem. The scheme has a placement policy where the number of sub-packets required grows only linearly with the number of users, with no restriction on file size, and a delivery policy which is instantaneously decodable. Further, an application of the new delivery scheme in a multi-access coded caching set-up is studied and a few results in that direction are presented. In particular, in the multi-access set-up, for cases where optimality rate-memory trade-off characterizations are available, it is shown that the new delivery scheme achieves optimal or near-optimal rates.
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