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Locally repairable codes with high availability based on generalised quadrangles

Lavrauw, Michel and Van de Voorde, Geertrui (2020) Locally repairable codes with high availability based on generalised quadrangles. Advances in Mathematics of Communications . ISSN 1930-5346 (Print) 1930-5338 (Online) Published Online First http://dx.doi.org/10.3934/amc.2020099

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Abstract

Locally Repairable Codes (LRC's) based on generalised quadrangles 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 determine the minimum weight of the codes of translation generalised quadrangles and characterise the codewords of minimum weight.
Item Type: Article
Uncontrolled Keywords: linear code, LRC code, generalised quadrangle, egg
Subjects: Q Science > QA Mathematics > QA075 Electronic computers. Computer science
Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Michel Lavrauw
Date Deposited: 14 Sep 2020 13:03
Last Modified: 14 Sep 2020 13:03
URI: https://research.sabanciuniv.edu/id/eprint/40074

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