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In this directoy, you will find a composite finite field calculator for different matrix sizes. The default matrix size will deal with Galois fields GF(2), but the calculation will scale up to infinite power two GF.

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Composite Finite Fields

In this directoy, you will find the source code of a composite finite field calculator for fields of different sizes. This implementation is based on the work from James S Plank about finite fields arithmetics, but we extended his work to perform a coefficient calculation for composite finite fields.

fulcrum

Overview

In this repository, you will find a trivial implementation of the coefficient calculation in Galois fields from different sizes. Altough we are not presenting this last version of our implementation because we are extending this work in other publications, the reader can have an rough overview of the procedure we employed to calculate the coefficients. If you make use of the source code, we would be really humbled and grateful if you could please give credit to us either in your publications and other repositories where your implementation resides.

Table of Contents

Quick Start

Composite Finite Fields are an extension of the

Results

Citations

@inproceedings{nguyen2022melecon,
title = {A Good Horse Only Jumps as High as Needed: Multi-Field Fulcrum Codes for Heterogeneous Decoders},
author = {Vu {Nguyen} and Juan A. {Cabrera} and Javier {Acevedo} and Christian {Scheunert} and Giang T. {Nguyen} and Frank H. P. {Fitzek}},
year = {2022},
date = {2022-06-14},
urldate = {2022-06-01},
booktitle = {2022 IEEE 21st Mediterranean Electrotechnical Conference (MELECON) (MELECON 2022)},
address = {Palermo, Italy},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}

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This project exists thanks to all people who contribute. The list of all contributors.

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License

This project is licensed under the MIT license.

News

  • 12.04.2021 - Our paper called "A Good Horse Only Jumps as High as Needed: Multi-Field Fulcrum Codes for Heterogeneous Decoders" has been accepted for the MELECON 2022 conference.

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In this directoy, you will find a composite finite field calculator for different matrix sizes. The default matrix size will deal with Galois fields GF(2), but the calculation will scale up to infinite power two GF.

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