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GaussPar

Parallel gaussian algorithm for finite fields

1.0.0

5 May 2021

Jendrik Brachter
Email: brachter@cs.uni-kl.de

Sergio Siccha
Email: siccha@mathematik.uni-kl.de

Emma Ahrens
Email: emma.ahrens@rwth-aachen.de

Contents

1 The GaussPar package

1.1 Introduction

2 Gaussian Elimination

2.1 Gaussian Elimination

2.1-1 EchelonMatTransformationBlockwise
2.1-2 EchelonMatBlockwise

3 Finding a suitable number of blocks

3.1 Measure Contention

3.1-1 GAUSS_MeasureContention

4 Using the task framework provided by HPC-GAP

4.1 The Package's Structure

5 Utility Functions

5.1 Utility Functions

5.1-1 IsMatrixInRREF
5.1-2 RandomEchelonMat

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