Generalized construction of cyclic (<i>r</i>, <i>t</i>)-locally repairable codes using trace function
نویسندگان
چکیده
منابع مشابه
Construction of asymptotically good locally repairable codes via automorphism groups of function fields
Locally repairable codes have been investigated extensively in recent years due to practical application in distributed storage as well as theoretical interest. However, not much work on asymptotical behavior of locally repairable codes has been done until now. In particular, there is a little result on constructive lower bound on asymptotical behavior of locally repairable codes. In this paper...
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Locally repairable codes, or locally recoverable codes (LRC for short) are designed for application in distributed and cloud storage systems. Similar to classical block codes, there is an important bound called the Singleton-type bound for locally repairable codes. In this paper, an optimal locally repairable code refers to a block code achieving this Singleton-type bound. Like classical MDS co...
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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...
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Like classical block codes, a locally repairable code also obeys the Singleton-type bound (we call a locally repairable code optimal if it achieves the Singleton-type bound). In the breakthrough work of [14], several classes of optimal locally repairable codes were constructed via subcodes of Reed-Solomon codes. Thus, the lengths of the codes given in [14] are upper bounded by the code alphabet...
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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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ژورنال
عنوان ژورنال: IEICE Communications Express
سال: 2017
ISSN: 2187-0136
DOI: 10.1587/comex.2017xbl0055