Some New Binary Locally Repairable Codes with Availability based on Golomb Rulers.
2023 14th International Conference on Information and Communication Technology Convergence (ICTC)（2023）
Abstract
In this paper, we propose some new binary 5-sequential recovery Locally Repairable Codes (5-seq LRCs) with availability 2 based on Golomb rulers and some well-known technique of generating the parity check matrix for the QC-LDPC codes. The proposed 5-seq LRCs can repair up to 5 erased symbols sequentially within 3 repair time. It can be viewed as an intersection of two LRCs without availability and its code rate is optimal for some cases.
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Key words
Locally Repairable Codes,Golomb Ruler,Repair Time,Parity-check,Parity-check Matrix,Conditions Of Theorem,Codeword,Linear Code,Repair Group,Single Symbol
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