Locally repairable codes with high availability based on generalised quadrangles
Combinatorics
2019-12-16 v1
Abstract
Locally Repairable Codes (LRC's) based on generalised quadrangles were introduced by Pamies-Juarez, Hollmann and Oggier in \cite{PaHoOg2013}, 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.
Keywords
Cite
@article{arxiv.1912.06372,
title = {Locally repairable codes with high availability based on generalised quadrangles},
author = {Michel Lavrauw and Geertrui Van de Voorde},
journal= {arXiv preprint arXiv:1912.06372},
year = {2019}
}