Nov 30, 2023 · In this paper, we construct three classes of q-ary optimal cyclic (r,\delta)-LRCs with new parameters by investigating the defining sets of cyclic codes.
Three classes of new optimal cyclic (r, δ) locally recoverable codes · Yaozong Zhang, Dabin Zheng, Xiaoqiang Wang · Published in arXiv.org 30 November 2023 ...
In this paper, we construct three classes of q q q -ary optimal cyclic ( r , δ ) r 𝛿 (r,\delta) -LRCs with new parameters by investigating the defining sets ...
Sep 11, 2024 · Furthermore, with the help of MDS codes, we give three classes of explicit constructions of optimal $(r,\delta)$-LRCs with block length beyond $ ...
In this paper, we show that construction of optimal LRCs is equivalent to construction of a class of parity-check matrices.
In this paper, inspired by the work of [3], we firstly construct two classes of optimal cyclic -LRCs with unbounded lengths and minimum distances.
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Sep 19, 2019 · Compared with the known cyclic and constacyclic (r, δ) locally recoverable codes, our construction yields new optimal cyclic (r, δ) locally ...
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This paper construct cyclic (r, δ) LRCs ((r,δ) CLRCs) which are optimal according to the Singleton-like bound, and the locality of the newCLRCs satisfies ...
An $(r, \delta)$-locally repairable code ($(r, \delta)$-LRC for short) was introduced by Prakash et al. \cite{Prakash2012} for tolerating multiple failed ...
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Apr 18, 2024 · In order to increase the distance of a constacyclic LRC, it is preferable to get new codes by increasing the locality by one unit. For instance, ...
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