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Improved Hotplug Caching Schemes Using PDAs and t-Designs

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arxiv 2311.02856 v3 pith:BG3ASORF submitted 2023-11-06 cs.IT cs.DMmath.IT

Charul Rajput , B. Sundar Rajan This is my paper · ORCID
classification cs.ITcs.DMmath.IT
keywords cachingcodedhotplugschemedeliveryplacementsystemsarray
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abstract

We consider a coded caching system in which some users are offline at the time of delivery. Such systems are called hotplug coded caching systems. A placement delivery array (PDA) is a well-known tool for constructing a coded caching scheme for dedicated caches. In this paper, we introduce the concept of PDAs for hotplug coded caching schemes and refer to it as a hotplug placement delivery array (HpPDA). We give an algorithm to describe the placement and the delivery phase of a hotplug coded caching scheme using HpPDA. We show that an existing hotplug coded caching scheme given by Y. Ma and D. Tuninetti in 2022 corresponds to a class of HpPDAs and then propose a method to further improve the rate of that scheme. Additionally, we construct a class of HpPDAs using $t$-designs, which corresponds to a scheme for hotplug coded caching systems. We further improve the rate of this scheme and prove that the cut-set bound is achieved in some higher memory range for a hotplug coded caching system with three active users.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Hierarchical Coded Caching with Offline Users

    cs.IT 2025-07 conditional novelty 6.0 of 10

    A new array construction, HHPDA, extends coded caching with offline users to hierarchical networks where mirrors also have caches.

  2. Secretive Hotplug Coded Caching

    cs.IT 2025-07 reject novelty 5.0 of 10

    Two secretive hotplug coded caching schemes are constructed from MAN-HpPDAs and t-design HpPDAs, with better rates than a baseline in certain memory regions.

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