A New Cooperative Repair Scheme with Small Finite Field for Distributed Storage Systems

[2502.19909] A New Cooperative Repair Scheme with Small Finite Field for Distributed Storage Systems Skip to main content Search Submit Donate Log in Computer Science > Information Theory arXiv:2502.19909 (cs) [Submitted on 27 Feb 2025 ( v1 ), last revised 25 Aug 2026 (this version, v2)] Title: A New Cooperative Repair Scheme with Small Finite Field for Distributed Storage Systems Authors: Yajuan Liu , Han Cai , Xiaohu Tang View PDF HTML (experimental) Abstract: In this paper, we consider the multiple failures in the distributed storage systems under the cooperative repair model. We introduce a new cooperative repair scheme for the (n,k,d,N) minimum storage regenerating (MSR) codes proposed by Ye and Barg (IEEE Transactions on Information Theory, vol. 64, no. 4, 2017), which is capable of repairing any h failed nodes by connecting any k \le d \le n - h helper nodes. Compared to prior cooperative repair schemes for (n,k,d,N) MSR codes, which require a finite field F_q with q \ge (d - k + 1)n, the proposed approach reduces the field size to q \ge n + 1. Subjects: Information Theory (cs.IT) Cite as: arXiv:2502.19909 [cs.IT] (or arXiv:2502.19909v2 [cs.IT] for this version) https://doi.org/10.48550/arXiv.2502.19909 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Yajuan Liu [ view email ] [v1] Thu, 27 Feb 2025 09:28:34 UTC (33 KB) [v2] Tue, 25 Aug 2026 09:48:53 UTC (40 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Additional Features Audio Summary Current browse context: cs.IT < prev | next > new | recent | 2025-02 Change to browse by: cs math math.IT References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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