Optimal Binary Linear Locally Repairable Codes with Disjoint Repair Groups
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Publication:5206236
DOI10.1137/19M1248443zbMath1457.94236arXiv1711.07138OpenAlexW2995223888MaRDI QIDQ5206236
Publication date: 18 December 2019
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.07138
partial spreadslocally repairable codesdistributed storage systemsdisjoint repair groupsweakly independent sets
Related Items (5)
Application of optimal \(p\)-ary linear codes to alphabet-optimal locally repairable codes ⋮ On binary locally repairable codes with distance four ⋮ New constructions of optimal \((r, \delta)\)-LRCs via good polynomials ⋮ New bounds on the field size for maximally recoverable codes instantiating grid-like topologies ⋮ Codes for Distributed Storage
Uses Software
Cites Work
- Unnamed Item
- Cyclic LRC codes, binary LRC codes, and upper bounds on the distance of cyclic codes
- Partitions of finite vector spaces over \(\mathrm{GF}(2)\) into subspaces of dimensions 2 and \(s\)
- The maximum size of a partial 3-spread in a finite vector space over \(\mathrm{GF}(2)\)
- The maximum size of a partial spread in \(H(5,q^{2})\) is \(q^{3}+1\)
- Partial spreads in finite projective spaces and partial designs
- Improved upper bounds for partial spreads
- Locality of optimal binary codes
- On the locality of codeword symbols in non-linear codes
- Optimal Locally Repairable Codes and Connections to Matroid Theory
- Binary Linear Locally Repairable Codes
- Bounds on the Size of Locally Recoverable Codes
- An Integer Programming-Based Bound for Locally Repairable Codes
- Repair Locality With Multiple Erasure Tolerance
- Explicit Maximally Recoverable Codes With Locality
- A Family of Optimal Locally Recoverable Codes
- On the Locality of Codeword Symbols
- Error-Correcting Codes in Projective Space
- Locally Recoverable Codes on Algebraic Curves
- Combinatorial Alphabet-Dependent Bounds for Locally Recoverable Codes
- On Sequential Locally Repairable Codes
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