A Construction of Maximally Recoverable Codes with Order-Optimal Field Size

November 27, 2020 Β· Declared Dead Β· πŸ› IEEE Transactions on Information Theory

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Authors Han Cai, Ying Miao, Moshe Schwartz, Xiaohu Tang arXiv ID 2011.13606 Category cs.IT: Information Theory Citations 49 Venue IEEE Transactions on Information Theory Last Checked 5 months ago
Abstract
We construct maximally recoverable codes (corresponding to partial MDS codes) which are based on linearized Reed-Solomon codes. The new codes have a smaller field size requirement compared with known constructions. For certain asymptotic regimes, the constructed codes have order-optimal alphabet size, asymptotically matching the known lower bound.
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