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New Results on Multilevel Diversity Coding with Secure Regeneration

2018/01/11 by Shuo Shao, Tie Liu, Shao, Shuo +6
Computer Science · Mathematics · #Advanced Data Storage Technologies #Caching and Content Delivery #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1801.03931

arXiv admin note: substantial text overlap with arXiv:1712.03326

arxiv created 2018/01/11 · openalex publication_date 2018/01/11 · arxiv updated 2018/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The problem of multilevel diversity coding with secure regeneration is revisited. Under the assumption that the eavesdropper can access the repair data for all compromised storage nodes, Shao el al. provided a precise characterization of the minimum-bandwidth-regeneration (MBR) point of the achievable normalized storage-capacity repair-bandwidth tradeoff region. In this paper, it is shown that the MBR point of the achievable normalized storage-capacity repair-bandwidth tradeoff region remains the same even if we assume that the eavesdropper can access the repair data for some compromised storage nodes (type 2 compromised nodes) but only the data contents of the remaining compromised nodes (type 1 compromised nodes), as long as the number of type 1 compromised nodes is no greater than that of type 2 compromised nodes.

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