6 problems
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The secure coded caching–index coding gluing conjecture
Secure coded caching involves a server storing messages and users with local caches who request messages over a broadcast link, while secure index coding involves an adversary that…
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The separation conjecture for optimal linear schemes
Let a linear scheme be a scheme in the coded-caching setting, and call it separated when it has the separability property used in the paper. Separation conjecture. Any optimal line…
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The linear-scheme bound conjecture for three messages and three receivers
Let and denote the normalized memory and rate of a linear scheme, respectively, and let . The linear-scheme bound conjecture. Every linear scheme satisfies … The con…
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Conjecture on the lower convex envelope of achievable multi-access coded-caching rates
Consider a multi-access coded-caching system with caches, cache parameter , and an integer indexing the achievable points described in Theorem 1. The plotted achievable-…
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Conjectured achievability of the lower bound for two-file non-uniform caching
Consider the non-uniform centralized caching problem with two files, using the paper's general placement scheme and the lower bound developed for the delivery rate. Achievability c…
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Global optimality of the memory-sharing strategy for multiple coded-caching libraries
Let there be multiple libraries with cache-allocation parameters and library sizes . Consider the memory-sharing strategy that incrementally allocates cac…