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A solution to a Linear System over a four-element Galois Field

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Linear System over Galois Field


This contains analysis of the solution space of a linear system over a four element Galois Field and implements an efficient gaussian elimination algorithm to solve it. It also deduces whether the snumber of solutions is degenerate and reports the rank of the linear transform. Details are in assignment-1.pdf

The code is written in Julia.

Prerequisites


Ijulia and Jupyter-Notebook needs to be installed. Please install the NbInclude package using Julia to import Julia Notebook files

julia
import Pkg
Pkg.add("NBInclude")
Pkg.add("JLD2")

For running test scripts

julia evaluation.jl

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A solution to a Linear System over a four-element Galois Field

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