Constructions of locally recoverable codes from elliptic surfaces that provide availability t>2, hierarchical locality, and their combination via torsion groups and fibered geometry.
Locally recoverable codes with availability from a family of fibered surfaces.arXiv preprint arXiv:2512.08100,
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Locally recoverable codes from elliptic surfaces with availability and hierarchical locality
Constructions of locally recoverable codes from elliptic surfaces that provide availability t>2, hierarchical locality, and their combination via torsion groups and fibered geometry.