Published January 1, 2022
| Version v1
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LOCALLY REPAIRABLE CODES WITH HIGH AVAILABILITY BASED ON GENERALISED QUADRANGLES
Creators
- 1. Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey
- 2. Univ Canterbury, Sch Math & Stat, Private Bag 4800, Christchurch 8140, New Zealand
Description
Locally Repairable Codes (LRC's) based on generalised quadran-gles were introduced by Pamies-Juarez, Hollmann and Oggier in [3], and bounds on the repairability and availability were derived. In this paper, we determine the values of the repairability and availability of such LRC's for a large portion of the currently known generalised quadrangles. In order to do so, we deter-mine the minimum weight of the codes of translation generalised quadrangles and characterise the codewords of minimum weight.
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