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Locally recoverable codes: examples arising from Galois covers of curves

Hulzebos, D. (2017) Locally recoverable codes: examples arising from Galois covers of curves. Master's Thesis / Essay, Mathematics.

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Abstract

In this research Locally Recoverable Codes (LRC's) are studied. First a definition for LRC's is given. After that a method for calculating an upper bound for the locality is described. Then a method to construct LRC's is studied. A few examples of this are being described. Finally this method is being extended to a method where one constructs LRC's with multiple recovering sets. There will also be an example given for this construction. Besides that several MAGMA implementations are presented for the computations that are needed.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:31
Last Modified: 15 Feb 2018 08:31
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15786

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