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)
This is the latest version of this item.
Official URL: https://dx.doi.org/10.3934/amc.2020099
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: | 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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Locally repairable codes with high availability based on generalised quadrangles. (deposited 14 Sep 2020 13:03)
- Locally repairable codes with high availability based on generalised quadrangles. (deposited 26 Aug 2022 20:35) [Currently Displayed]
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