Locally recoverable codes from towers of function fields

DOI10.1016/j.ffa.2023.102359arXiv2209.07136MaRDI QIDQ6144458

Maria de los Angeles Chara, Edgar Martínez-Moro, F. Galluccio

Publication date: 29 January 2024

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.07136

zbMATH Keywords

function fieldsasymptotic behaviorcodestowersLRC

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Unnamed Item
• Unnamed Item
• Locally recoverable codes with availability \(t\geq 2\) from fiber products of curves
• Minimum distance and parameter ranges of locally recoverable codes with availability from fiber products of curves
• Bounds on the Parameters of Locally Recoverable Codes
• A Family of Optimal Locally Recoverable Codes
• On the Locality of Codeword Symbols
• Algebraic Function Fields and Codes
• Construction of Asymptotically Good Locally Repairable Codes via Automorphism Groups of Function Fields
• Locally Recoverable Codes on Algebraic Curves

This page was built for publication: Locally recoverable codes from towers of function fields