Construction of Optimal Locally Repairable Codes via Automorphism Groups of Rational Function Fields

DOI10.1109/TIT.2019.2946637zbMath1433.94119arXiv1710.09638OpenAlexW2979363856MaRDI QIDQ5211593

Xing, Chaoping, Lingfei Jin, Liming Ma

Publication date: 28 January 2020

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

Full work available at URL: https://arxiv.org/abs/1710.09638

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (13)

Application of optimal \(p\)-ary linear codes to alphabet-optimal locally repairable codes ⋮ Optimal cyclic locally repairable codes with unbounded length from their zeros ⋮ A characterization of optimal locally repairable codes ⋮ Singleton-optimal LRCs and perfect LRCs via cyclic and constacyclic codes ⋮ New constructions of optimal \((r, \delta)\)-LRCs via good polynomials ⋮ Codes with locality from cyclic extensions of Deligne-Lusztig curves ⋮ A characterization of optimal constacyclic locally repairable codes ⋮ Unnamed Item ⋮ Optimal cyclic \((r, \delta )\) locally repairable codes with unbounded length ⋮ 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 ⋮ Codes in the Sum-Rank Metric: Fundamentals and Applications

This page was built for publication: Construction of Optimal Locally Repairable Codes via Automorphism Groups of Rational Function Fields