Locally repairable codes with high availability based on generalised quadrangles

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Lavrauw, Michel and Van de Voorde, Geertrui (2022) Locally repairable codes with high availability based on generalised quadrangles. Advances in Mathematics of Communications, 16 (1). pp. 73-81. ISSN 1930-5346 (Print) 1930-5338 (Online)

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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: Egg; Generalised quadrangle; linear code; LRC code
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Michel Lavrauw
Date Deposited: 26 Aug 2022 20:35
Last Modified: 26 Aug 2022 20:35
URI: https://research.sabanciuniv.edu/id/eprint/43920

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