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An Introduction to Cryptography

An Introduction to CryptographyMohamed Barakat, Christian Eder, Timo HankeSeptember 20, 2018 PrefaceSecond EditionLecture notes of a class given during the summer term 2017 at the University of Kaiserslautern. Thenotes are based on lecture notes byMohamed BarakatandTimo Hanke[BH12](see also below).Other good sources and books are, for example,[Buc04,Sch95,MVO96].Many thanks to Raul Epure for proofreading and suggestions to improve the lecture EditionThese lecture notes are based on the course Kryptographie given byTimo Hankeat RWTH AachenUniversity in the summer semester of 2010. They were amended and extended by several topics,as well as translated into English, byMohamed Barakatfor his course Cryptography at TU Kaiser-slautern in the winter semester of 2010/11.

2 CHAPTER 1. INTRODUCTION The four ground principles of cryptography are Confidentiality Defines a set of rules that limits access or adds restriction on certain information. Data Integrity Takes care of the consistency and accuracy of data during its entire life-cycle. Authentication Confirms the truth of an attribute of a datum that is claimed to be true by some

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