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Since its foundation as an application of algebra, coding theory is obtaining a day by day increasing importance. For instance, any communication system needs the concepts of coding theory to function efficiently. In this thesis, reader will find an introductory explanation to linear codes and binary hamming codes including some of the algebraic tools devised in their applications. All the described software applications are verified using SageMath 9.0 using Hochschule Mittweida’s JupyterHub.