2025/04/28 by Fang Han, Nan Liu, Fang, Han +3
Computer Science · #Advanced Data Storage Technologies #Age of Information Optimization #Caching and Content Delivery #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.2504.19601
openalex publication_date 2025/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the secure coded caching problem proposed by Ravindrakumar et. al where no user can obtain information about files other than the one requested. We first propose three new schemes for the three cases of cache size M=1, N=2 files and arbitrary K users, delivery rate R=1, arbitrary N files and K users, and the general case for arbitrary N files and K users, respectively. Then we derive converse results by characterizing new properties of secure coded caching schemes. As a result, we characterize the two end-points of the optimal memory-rate tradeoff curve for arbitrary number of users and files. Furthermore, for the case of N=2 files and arbitrary number of users, we also characterize a segment of the optimal memory-rate tradeoff curve, where the cache size is relatively small.