منابع مشابه
On Sequential Locally Repairable Codes
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 < k) other code symbols. Sequential recovering means that the erased symbols are recovered one by one, and an already recovere...
متن کاملList Decoding of Locally Repairable Codes
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. We give a general list decoding algorithm for LRCs that achieves this radius along with an explicit realization for a class of LRCs ...
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of the bachelor's thesis Abstract: Locally repairable codes (LRCs) are error correcting codes used in distributed data storage. A traditional approach is to look for codes which simultaneously maximize error tolerance and minimize storage space consumption. However, this tends to yield codes for which error correction requires an unrealistic amount of communication between storage nodes. LRCs s...
متن کاملLocally Repairable Codes with Unequal Locality Requirements
When a node in a distributed storage system fails, it needs to be promptly repaired to maintain system integrity. While typical erasure codes can provide a significant storage advantage over replication, they suffer from poor repair efficiency. Locally repairable codes (LRCs) tackle this issue by reducing the number of nodes participating in the repair process (locality), with the cost of reduc...
متن کاملOptimal locally repairable codes via elliptic curves
Constructing locally repairable codes achieving Singleton-type bound (we call them optimal codes in this paper) is a challenging task and has attracted great attention in the last few years. Tamo and Barg [14] first gave a breakthrough result in this topic by cleverly considering subcodes of Reed-Solomon codes. Thus, q-ary optimal locally repairable codes from subcodes of Reed-Solomon codes giv...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2014
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2014.2325570