Algebraic hierarchical locally recoverable codes with nested affine subspace recovery
Kathryn Haymaker,
Beth Malmskog,
Gretchen Matthews
Abstract:Codes with locality, also known as locally recoverable codes, allow for recovery of erasures using proper subsets of other coordinates. These subsets are typically of small cardinality to promote recovery using limited network traffic and other resources. Hierarchical locally recoverable codes allow for recovery of erasures using sets of other symbols whose sizes increase as needed to allow for recovery of more symbols. In this paper, we describe a hierarchical recovery structure arising from geometry in Reed–… Show more
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