In a distributed storage system, code symbols are dispersed across space in nodes or
storage units as opposed to time. In settings such as that of a large data center, an important …

A locally repairable code (LRC) with locality r allows for the recovery of any erased
codeword symbol using only r other codeword symbols. A Singleton-type bound dictates the …

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 …

Locally repairable codes (LRCs) are considered with equal or unequal localities, local
distances, and local field sizes. An explicit two-layer architecture with a sum-rank outer code …

Codes in the sum-rank metric have attracted significant attention for their applications in
distributed storage systems, multishot network coding, streaming over erasure channels …

In a paper by Guruswami et al., it was shown that the length n of a q-ary linear locally
recoverable code with distance d≥ 5 is upper bounded by O (dq 3). Thus, it is a challenging …

Repair locality has been an important metric in a distributed storage system (DSS). Erasure
codes with small locality are more popular in a DSS, which means fewer available nodes …

Locally repairable codes (LRCs) are introduced in distributed storage systems due to their
low repair overhead. An LRC is called optimal if its minimum distance attains the Singleton …

A locally repairable code (LRC) is a linear code such that every code symbol can be
recovered by accessing a small number of other code symbols. In this paper, we study …

Locally repairable codes have become a key instrument in large-scale distributed storage
systems. This paper focuses on the construction of locally repairable codes with-locality that …