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A New Hotplug Coded Caching Scheme with Improved Performance


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.
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Key Insights Distilled From

by Mallikharjun... at arxiv.org 04-10-2024

https://arxiv.org/pdf/2404.06433.pdf
A New Hotplug Coded Caching Scheme Using PDAs

Deeper Inquiries

How can the proposed scheme be extended to scenarios with demand privacy requirements

To extend the proposed scheme to scenarios with demand privacy requirements, we can introduce additional constraints and mechanisms to ensure that user demands remain private during the delivery phase. One approach could be to incorporate encryption techniques to secure the demands transmitted by active users to the server. By encrypting the demands, only authorized parties with the decryption keys can access the information, thereby maintaining demand privacy. This encryption-decryption process can be integrated into the existing hotplug coded caching scheme to address demand privacy concerns effectively.

Can the construction of HpPDAs from other combinatorial designs beyond t-designs lead to further improvements in the memory-rate tradeoff

The construction of HpPDAs from combinatorial designs beyond t-designs has the potential to lead to further improvements in the memory-rate tradeoff of hotplug coded caching systems. By exploring different combinatorial designs such as Steiner systems, Latin squares, or Hadamard matrices, we can potentially discover new HpPDAs with enhanced properties. These alternative designs may offer different tradeoffs in terms of memory utilization and communication efficiency, allowing for a more diverse set of solutions for hotplug coded caching systems. By leveraging the unique characteristics of various combinatorial designs, we can optimize the performance of hotplug coded caching schemes in different scenarios.

What are the practical implications and potential applications of hotplug coded caching systems in real-world content delivery networks

Hotplug coded caching systems have significant practical implications and potential applications in real-world content delivery networks. By efficiently utilizing cached content at user devices, these systems can reduce the overall communication load and latency in content delivery processes. This optimization is particularly valuable in scenarios with limited bandwidth or high user demand for popular content. Implementing hotplug coded caching can lead to improved user experience, faster content delivery, and reduced network congestion. Furthermore, hotplug coded caching systems can be beneficial in edge computing environments, where content is cached closer to end-users for faster access. By strategically placing caches at network edges, hotplug coded caching can enhance the performance of edge servers and reduce the reliance on centralized data centers. This decentralized approach can lead to more efficient content delivery, lower latency, and improved scalability in distributed networks.
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