Cryptographic Primitives in Blockchain Technology: A Mathematical Introduction

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Oxford University Press, 10.09.2020 - 352 Seiten
Many online applications, especially in the financial industries, are running on blockchain technologies in a decentralized manner, without the use of an authoritative entity or a trusted third party. Such systems are only secured by cryptographic protocols and a consensus mechanism. As blockchain-based solutions will continue to revolutionize online applications in a growing digital market in the future, one needs to identify the principal opportunities and potential risks. Hence, it is unavoidable to learn the mathematical and cryptographic procedures behind blockchain technology in order to understand how such systems work and where the weak points are.

Cryptographic Primitives in Blockchain Technology provides an introduction to the mathematical and cryptographic concepts behind blockchain technologies and shows how they are applied in blockchain-based systems. This includes an introduction to the general blockchain technology approaches that are used to build the so-called immutable ledgers, which are based on cryptographic signature schemes.

As future quantum computers will break some of the current cryptographic primitive approaches, Andreas Bolfing considers their security and presents the current research results that estimate the impact on blockchain-based systems if some of the cryptographic primitive break. Based on the example of Bitcoin, he shows that weak cryptographic primitives pose a possible danger for the ledger, which can be overcome through the use of the so-called post-quantum cryptographic approaches.

 

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Inhalt

Introduction
1
Preliminaries
5
Cryptographic Primitives
57
Information Security in Software Systems
135
Distributed Systems
143
Introduction to Blockchain Technology
199
Bitcoin
241
Introduction to Quantum Computing
259
PostQuantum Blockchains
279
Conclusions
291
List of Abbreviations
293
List of Notations
295
List of Figures
299
List of Tables
303
Bibliography
305
Index
319

Bitcoin Under Broken Crypto Primitives
265

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Über den Autor (2020)


Andreas Bolfing, Maths teacher, Professional Baccalaureate School.

Born and raised in Switzerland, Andreas Bolfing first studied engineering at University of applied sciences in Lucerne and then mathematics at university level at University of Zurich with specializations in algebra, coding theory, elliptic curves and cryptography. Currently, he is teaching mathematics and physics at a Professional Baccalaureate School in Lucerne

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