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added Reed Solomon error correction

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lifted from my FEC project:
https://github.com/xdsopl/FEC
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Ahmet Inan 2018-09-20 18:04:23 +02:00
commit 01db8f516e
10 changed files with 846 additions and 1 deletions
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@ -33,5 +33,14 @@ When dealing with unaligned and arbitrary-bit-sized elements in a data stream, t
### [galois_field.hh](galois_field.hh)
We have to thank [Évariste Galois](https://en.wikipedia.org/wiki/%C3%89variste_Galois)' contribution of the [Finite field](https://en.wikipedia.org/wiki/Finite_field) to mathematics, which laid the cornerstone for a variety of applications that we take for granted today.
We have to thank [Évariste Galois](https://en.wikipedia.org/wiki/%C3%89variste_Galois) for his contribution of the [Finite field](https://en.wikipedia.org/wiki/Finite_field) to mathematics, which laid the cornerstone for a variety of applications that we take for granted today.
One of them is [Reed–Solomon error correction](https://en.wikipedia.org/wiki/Reed%E2%80%93Solomon_error_correction):
### [reed_solomon_error_correction.hh](reed_solmon_error_correction.hh)
Implemented are the following Encoders and Decoders:
* [reed_solomon_encoder.hh](reed_solomon_encoder.hh)
* [reed_solomon_decoder.hh](reed_solomon_decoder.hh)
* [bose_chaudhuri_hocquenghem_encoder.hh](bose_chaudhuri_hocquenghem_encoder.hh)
* [bose_chaudhuri_hocquenghem_decoder.hh](bose_chaudhuri_hocquenghem_decoder.hh)