Locally repairable codes have attracted lots of interest in Distributed Storage Systems. If a symbol of a code can be repaired respectively by t disjoint groups of other symbols, each groups has size at most r, we say that the code symbol has (r, t)-locality. In this paper, we employ parity-check matrix to construct information single-parity (r, t)-locality LRCs. All our codes attain the Singleton-like bound of LRCs where each repair group contains a single parity symbol and thus are optimal.
Yang DING
Shanghai University
Qingye LI
Shanghai University
Yuting QIU
Shanghai University
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Yang DING, Qingye LI, Yuting QIU, "Constructions of Optimal Single-Parity Locally Repairable Codes with Multiple Repair Sets" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 1, pp. 78-82, January 2023, doi: 10.1587/transfun.2022EAL2020.
Abstract: Locally repairable codes have attracted lots of interest in Distributed Storage Systems. If a symbol of a code can be repaired respectively by t disjoint groups of other symbols, each groups has size at most r, we say that the code symbol has (r, t)-locality. In this paper, we employ parity-check matrix to construct information single-parity (r, t)-locality LRCs. All our codes attain the Singleton-like bound of LRCs where each repair group contains a single parity symbol and thus are optimal.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022EAL2020/_p
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@ARTICLE{e106-a_1_78,
author={Yang DING, Qingye LI, Yuting QIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constructions of Optimal Single-Parity Locally Repairable Codes with Multiple Repair Sets},
year={2023},
volume={E106-A},
number={1},
pages={78-82},
abstract={Locally repairable codes have attracted lots of interest in Distributed Storage Systems. If a symbol of a code can be repaired respectively by t disjoint groups of other symbols, each groups has size at most r, we say that the code symbol has (r, t)-locality. In this paper, we employ parity-check matrix to construct information single-parity (r, t)-locality LRCs. All our codes attain the Singleton-like bound of LRCs where each repair group contains a single parity symbol and thus are optimal.},
keywords={},
doi={10.1587/transfun.2022EAL2020},
ISSN={1745-1337},
month={January},}
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TY - JOUR
TI - Constructions of Optimal Single-Parity Locally Repairable Codes with Multiple Repair Sets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 78
EP - 82
AU - Yang DING
AU - Qingye LI
AU - Yuting QIU
PY - 2023
DO - 10.1587/transfun.2022EAL2020
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2023
AB - Locally repairable codes have attracted lots of interest in Distributed Storage Systems. If a symbol of a code can be repaired respectively by t disjoint groups of other symbols, each groups has size at most r, we say that the code symbol has (r, t)-locality. In this paper, we employ parity-check matrix to construct information single-parity (r, t)-locality LRCs. All our codes attain the Singleton-like bound of LRCs where each repair group contains a single parity symbol and thus are optimal.
ER -