Locally Recoverable Codes on Algebraic Curves

DOI10.1109/TIT.2017.2700859zbMath1372.94480arXiv1501.04904OpenAlexW2611420662MaRDI QIDQ5369845

Itzhak Tamo, Alexander Barg, S. G. Vleduts

Publication date: 19 October 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04904

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (18)

Toward good families of codes from towers of surfaces ⋮ Hermitian-lifted codes ⋮ Locally recoverable codes from algebraic curves with separated variables ⋮ Unnamed Item ⋮ A characterization of optimal locally repairable codes ⋮ New upper bounds and constructions of multi-erasure locally recoverable codes ⋮ Locally recoverable codes from towers of function fields ⋮ Codes with locality from cyclic extensions of Deligne-Lusztig curves ⋮ Unnamed Item ⋮ Minimum distance and parameter ranges of locally recoverable codes with availability from fiber products of curves ⋮ On geometric Goppa codes from elementary abelian \(p\)-extensions of \(\mathbb{F}_{p^s}(x)\) ⋮ Locally recoverable codes correcting many erasures over small fields ⋮ New bounds on the field size for maximally recoverable codes instantiating grid-like topologies ⋮ Optimal Binary Linear Locally Repairable Codes with Disjoint Repair Groups ⋮ Locally recoverable codes from rational maps ⋮ Computing sharp recovery structures for locally recoverable codes ⋮ The group structures of automorphism groups of elliptic curves over finite fields and their applications to optimal locally repairable codes ⋮ Codes for Distributed Storage

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