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Local codes with addition based repair [PDF]

open access: yes2015 IEEE Information Theory Workshop - Fall (ITW), 2015
We consider the complexities of repair algorithms for locally repairable codes and propose a class of codes that repair single node failures using addition operations only, or codes with addition based repair. We construct two families of codes with addition based repair.
Han Mao Kiah   +3 more
openaire   +2 more sources

New Constructions of Short Length Binary Locally Repairable Codes

open access: yesIEEE Access, 2020
In this short paper, our main objective is to construct binary locally repairable codes (LRCs) with good properties. Two constructions of LRCs with short lengthes are proposed.
Sen Yang, Ruihu Li, Qiang Fu, Jingjie Lv
doaj   +1 more source

Binary cyclic codes that are locally repairable [PDF]

open access: yes2014 IEEE International Symposium on Information Theory, 2014
Codes for storage systems aim to minimize the repair locality, which is the number of disks (or nodes) that participate in the repair of a single failed disk. Simultaneously, the code must sustain a high rate, operate on a small finite field to be practically significant and be tolerant to a large number of erasures.
Sreechakra Goparaju   +1 more
openaire   +2 more sources

Local Codes With Cooperative Repair in Distributed Storage of Cyber-Physical-Social Systems

open access: yesIEEE Access, 2020
Integrating cyber, physical, and social spaces together, cyber-physical-social systems (CPSS) bring more conveniences to humans. For practical applications and user convenience, it is essential that the Big Data produced in CPSS be stored in the ...
Jing Wang   +4 more
doaj   +1 more source

Girth-Based Sequential-Recovery LRCs

open access: yesIEEE Access, 2022
In this paper, we prove that a linear block code with girth $2(t+1)$ is a $t$ -sequential-recovery locally repairable codes (LRCs) with locality $r$ if its parity-check matrix has column weight at least 2 and row weight at most $r+1$ . This gives a
Zhi Jing, Hong-Yeop Song
doaj   +1 more source

On optimal ternary locally repairable codes [PDF]

open access: yes2017 IEEE International Symposium on Information Theory (ISIT), 2017
5 ...
Jie Hao 0001, Shu-Tao Xia, Bin Chen 0011
openaire   +2 more sources

Application of optimal p-ary linear codes to alphabet-optimal locally repairable codes

open access: yes, 2022
Linear codes have widespread applications in data storage systems. There are two major contributions in this paper. We first propose infinite families of optimal or distance-optimal linear codes over Fp constructed from projective spaces.Moreover, a ...
Luo, Gaojun, Ling, San
core   +1 more source

Some New Sequential-Recovery LRCs Based on Good Polynomials

open access: yesIEEE Access, 2022
We propose a new construction of sequential-recovery Locally Repairable Codes (LRCs) of length $n$ with even locality $r$ for two erasures, based on some ‘good’ polynomials, over a relatively small alphabet of size $q \approx \frac {(r+
Zhi Jing, Hong-Yeop Song
doaj   +1 more source

List Decoding of Locally Repairable Codes [PDF]

open access: yes2018 IEEE International Symposium on Information Theory (ISIT), 2018
We show that locally repairable codes (LRCs) can be list decoded efficiently beyond the Johnson radius for a large range of parameters by utilizing the local error correction capabilities. The new decoding radius is derived and the asymptotic behavior is analyzed.
Lukas Holzbaur, Antonia Wachter-Zeh
openaire   +2 more sources

On Sequential Locally Repairable Codes

open access: yesCoRR, 2016
We consider the locally repairable codes (LRC), aiming at sequential recovering multiple erasures. We define the (n,k,r,t)-SLRC (Sequential Locally Repairable Codes) as an [n,k] linear code where any t'(>= t) erasures can be sequentially recovered, each one by r (2<=r=3 erasures and bounds to evaluate the performance of such codes.
Wentu Song, Kai Cai 0001, Chau Yuen
openaire   +2 more sources

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