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Constructions of Maximally Recoverable Local Reconstruction Codes via Function Fields by Venkatesan Guruswami; Lingfei Jin; Chaoping Xing is a Computer Science article available to read on EtoBox.

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Local Reconstruction Codes (LRCs) allow for recovery from a small number of erasures in a local manner based on just a few other codeword symbols. They have emerged as the codes of choice for large scale distributed storage systems due to the very efficient repair of failed storage nodes in the typical scenario of a single or few nodes failing, while also offering fault tolerance against worst-case scenarios with more erasures. A maximally recoverable (MR) LRC offers the best possible blend of such local and global fault tolerance, guaranteeing recovery from all erasure patterns which are information-theoretically correctable given the presence of local recovery groups. MR LRCs have received much attention recently, with many explicit constructions covering different regimes of parameters. Unfortunately, all known constructions require a large field size. In this work, we develop an approach based on function fields to construct MR LRCs. Our method recovers,

Who reads Constructions of Maximally Recoverable Local Reconstruction Codes via Function Fields?

Author

Venkatesan Guruswami; Lingfei Jin; Chaoping Xing

Publisher

IEEE; Institute of Electrical and Electronics Engineers; Institute of Electrical and Electronics Engineers (IEEE) (ISSN 0018-9448)

Published

2020

Language

EN

Field

Computer Science (Physical Sciences)