Core Concepts
This work proposes a new hotplug coded caching scheme based on existing Hotplug Placement Delivery Arrays (HpPDAs) that outperforms the existing schemes in some memory regimes.
Abstract
The paper introduces a new hotplug coded caching scheme that builds upon the concept of Hotplug Placement Delivery Arrays (HpPDAs).
Placement Phase:
Each file is divided into F'-Z'+Z subfiles and encoded into F coded subfiles using an [F, F'-Z'+Z] MDS code.
The cache of each user is filled using the array P of the HpPDA, where the subfile Cn,f is cached if pf,k = *.
Delivery Phase:
For the set of active users I, there exists a subset ζ ⊆ [F] such that [P]ζ×I = B, where B is the PDA part of the HpPDA.
A new PDA P is constructed using B, and the server transmits coded subfiles based on the integers in P's columns corresponding to the active users.
The proposed scheme achieves a better memory-rate tradeoff compared to the existing Improved MT scheme in some regimes. When applied to HpPDAs constructed from t-designs, the proposed scheme also outperforms the baseline scheme and the Improved t-scheme in certain memory ranges.