On Optimal (r, δ)-LRCs with Length n | (q+1) | IEEE Conference Publication | IEEE Xplore

On Optimal (r, δ)-LRCs with Length n | (q+1)


Abstract:

Optimal (r, δ) locally repairable codes ((r, δ)-LRCs for short) with length n | (q+1) have been studied in [5] and [6]. In this paper, along with their ideas, by using cy...Show More

Abstract:

Optimal (r, δ) locally repairable codes ((r, δ)-LRCs for short) with length n | (q+1) have been studied in [5] and [6]. In this paper, along with their ideas, by using cyclic or constacyclic codes, we construct three classes of such LRCs with new parameters which are not obtained in [5] and [6]. Thus, optimal (r, δ)-LRCs with length n | (q+1) and (r + δ - 1) | n are completely determined for all possible parameters.
Date of Conference: 25-29 November 2018
Date Added to IEEE Xplore: 17 January 2019
ISBN Information:
Conference Location: Guangzhou, China

References

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