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Codes with hierarchical locality from covering maps of curves. (arXiv:1807.05473v1 [cs.IT])
来源于:arXiv
Locally recoverable (LRC) codes provide ways of recovering erased coordinates
of the codeword without having to access each of the remaining coordinates. A
subfamily of LRC codes with hierarchical locality (H-LRC codes) provides added
flexibility to the construction by introducing several tiers of recoverability
for correcting different numbers of erasures. We present a general construction
of codes from maps between algebraic curves that have 2-level hierarchical
locality and specialize it to several code families obtained from quotients of
curves by a subgroup of the automorphism group, including rational, elliptic,
Kummer, and Artin-Schreier curves. We also construct asymptotically good
families of H-LRC codes from curves related to the Garcia-Stichtenoth tower. 查看全文>>