Results 251 to 260 of about 402 (270)

Optimal ternary locally repairable codes

Designs, Codes and Cryptography
For a \([n, k, d]\) linear code \(\mathcal{C}\) over \(\mathbb{F}_q,\) a code symbol is said to have locality \(r\) if it can be repaired by accessing at most \(r\) other code symbols. The code \(\mathcal{C}\) is an \((n, k, r )\) locally repairable codes (LRC) if all the code symbols have locality \(r.\) An LRC is optimal if its minimum distance ...
Jie Hao 0001, Shu-Tao Xia, Kenneth W. Shum, Bin Chen 0011, Fang-Wei Fu 0001, Yixian Yang   +5 more
openaire   +1 more source

Recursive bounds for locally repairable codes with multiple repair groups

2016 IEEE International Symposium on Information Theory (ISIT), 2016
Recently, codes with locality have been widely studied to deal with the node repair problem in distributed storage systems. Locally repairable codes are linear codes with locality properties for code symbols. If a code symbol can be repaired respectively by t disjoint groups of other symbols, each of which has size at most r, this code symbol is said ...
Jie Hao 0001, Shu-Tao Xia, Bin Chen 0011
openaire   +1 more source

On singleton-type bound of locally repairable codes

Discrete Mathematics
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Xing Lin, Han Cai, Xiaohu Tang 0004
openaire   +2 more sources

Locally Repairable Convertible Codes: Erasure Codes for Efficient Repair and Conversion

2023 IEEE International Symposium on Information Theory (ISIT), 2023
Francisco Maturana, K. V. Rashmi
openaire   +1 more source

The group structures of automorphism groups of elliptic curves over finite fields and their applications to optimal locally repairable codes

Journal of Combinatorial Theory - Series A, 2023
Liming Ma, Chaoping Xing
exaly  

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

IEEE Transactions on Information Theory, 2020
Lingfei Jin, Liming Ma, Chaoping Xing
exaly  

Optimal Locally Repairable Codes: An Improved Bound and Constructions

IEEE Transactions on Information Theory, 2022
Han Cai, Cuiling Fan, Ying Miao
exaly  

Locally repairable codes over a network

2014 IEEE Information Theory Workshop (ITW 2014), 2014
Quan Yu, Chi Wan Sung, Terence H. Chan
openaire   +1 more source

On Lengths of Singleton-Optimal Locally Repairable Codes

IEEE Transactions on Communications, 2023
Shu Liu, Ting-Yi Wu, Chaoping Xing
exaly  

Optimal and Asymptotically Good Locally Repairable Codes via Propagation Rules

IEEE Transactions on Communications, 2023
Shu Liu, Liming Ma, Ting-Yi Wu
exaly