Mathematical Foundations For Side Channel Analysis Of Cryptographic Systems
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Mathematical Foundations For Side Channel Analysis Of Cryptographic Systems
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Author : Wei Cheng
language : en
Publisher: Springer
Release Date : 2024-08-22
Mathematical Foundations For Side Channel Analysis Of Cryptographic Systems written by Wei Cheng and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-22 with Computers categories.
This book offers the reader a formalization, characterization and quantification of the real threat level posed by side-channel leaks from devices implementing cryptography. It exploits the best mathematical tools for quantifying information leakage and characterizing leakage-based attacks. The two possible approaches are described in detail. This includes the optimal attack strategy that can be derived (in specific contexts) or generic bounds regarding data complexity that can be computed. The tone of this book is essentially mathematical. It aims to establish formal foundations for techniques that are otherwise used as engineering recipes in industrial laboratories or empirical intuitions for deriving security levels from practical implementations. It is a systematization of knowledge and a compilation of relevant tools relating to the practice of side-channel analysis on embedded systems. This book provides an up-to-date and improved analysis and understanding of embedded devices that conceal secrets that can be extracted by an attacker. Typical attacks involve measuring the device's power consumption or radiated electromagnetic field. As a source of noisy information, this correlates it with secrets and enabling these secrets to be retrieved. The attacker in some cases, can purchase a blank device from the same series and learn about its leakage, particularly how it relates to the secrets. This book also covers how such information can enhance hardware attacks deployed on another device. Researchers and engineers working in the field of side-channel security for embedded systems and related countermeasures as well as hardware and software engineers focused on implementing cryptographic functionalities will want to purchase this book as a reference. Advanced-level students majoring in computer science and electrical engineering will find this book valuable as a secondary textbook.
Side Channel Analysis Of Embedded Systems
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Author : Maamar Ouladj
language : en
Publisher: Springer Nature
Release Date : 2021-07-28
Side Channel Analysis Of Embedded Systems written by Maamar Ouladj and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Computers categories.
It has been more than 20 years since the seminal publications on side-channel attacks. They aim at extracting secrets from embedded systems while they execute cryptographic algorithms, and they consist of two steps, measurement and analysis. This book tackles the analysis part, especially under situations where the targeted device is protected by random masking. The authors explain advances in the field and provide the reader with mathematical formalizations. They present all known analyses within the same notation framework, which allows the reader to rapidly understand and learn contrasting approaches. It will be useful as a graduate level introduction, also for self-study by researchers and professionals, and the examples are taken from real-world datasets.
Mathematical Modelling For Next Generation Cryptography
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Author : Tsuyoshi Takagi
language : en
Publisher: Springer
Release Date : 2017-07-25
Mathematical Modelling For Next Generation Cryptography written by Tsuyoshi Takagi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-25 with Computers categories.
This book presents the mathematical background underlying security modeling in the context of next-generation cryptography. By introducing new mathematical results in order to strengthen information security, while simultaneously presenting fresh insights and developing the respective areas of mathematics, it is the first-ever book to focus on areas that have not yet been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others. Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further development of the mathematical background of modern cryptography. More specifically, in order to avoid the security risks posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range of mathematical theories. This book is suitable for use in an advanced graduate course in mathematical cryptography, while also offering a valuable reference guide for experts.
Mathematical Foundations Of Public Key Cryptography
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Author : Xiaoyun Wang
language : en
Publisher: CRC Press
Release Date : 2015-10-22
Mathematical Foundations Of Public Key Cryptography written by Xiaoyun Wang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-22 with Computers categories.
In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice. The book provides a theoretical structure of fundamental number theory and algebra knowledge supporting public-key cryptography.R
Introduction To Cryptography With Mathematical Foundations And Computer Implementations
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Author : Alexander Stanoyevitch
language : en
Publisher: CRC Press
Release Date : 2010-08-09
Introduction To Cryptography With Mathematical Foundations And Computer Implementations written by Alexander Stanoyevitch and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-09 with Computers categories.
From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundations and Computer Implementations provides a focused tour of the central concepts of cryptography. Rather than present an encyclopedic treatment of topics in cryptography, it delineates cryptographic concepts in chronological order, developing the mathematics as needed. Written in an engaging yet rigorous style, each chapter introduces important concepts with clear definitions and theorems. Numerous examples explain key points while figures and tables help illustrate more difficult or subtle concepts. Each chapter is punctuated with "Exercises for the Reader;" complete solutions for these are included in an appendix. Carefully crafted exercise sets are also provided at the end of each chapter, and detailed solutions to most odd-numbered exercises can be found in a designated appendix. The computer implementation section at the end of every chapter guides students through the process of writing their own programs. A supporting website provides an extensive set of sample programs as well as downloadable platform-independent applet pages for some core programs and algorithms. As the reliance on cryptography by business, government, and industry continues and new technologies for transferring data become available, cryptography plays a permanent, important role in day-to-day operations. This self-contained sophomore-level text traces the evolution of the field, from its origins through present-day cryptosystems, including public key cryptography and elliptic curve cryptography.
Introduction To Cryptography
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Author : Johannes Buchmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Introduction To Cryptography written by Johannes Buchmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This book explains the basic methods of modern cryptography. It is written for readers with only basic mathematical knowledge who are interested in modern cryptographic algorithms and their mathematical foundation. Several exercises are included following each chapter. From the reviews: "Gives a clear and systematic introduction into the subject whose popularity is ever increasing, and can be recommended to all who would like to learn about cryptography." --ZENTRALBLATT MATH
Cryptographic Systems
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Author : Monique Edmond Azar
language : en
Publisher:
Release Date : 2000
Cryptographic Systems written by Monique Edmond Azar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Public Key eryptosystems were developed to provide privacy, authentication, integrity and non-repudiation in electronic communications. The RSA cryptosystem is the most widely used public key cryptosystem. It requires finding two large primes and its strength lies in the difficulty of factoring this product.--Currently available tests for primalily can efficiently prove the primality of numbers up to HKX) digits. Factoring algorithms, on the other hand, are still far from reaching this bound, the largest RSA number to be factored being a 155-digit number.--Given this discrepancy between testing for primality and factoring large in?tegers, the RSA cryptosystem can be securely implemented provided some necessary precautions are observed. The RSA cryptosystem is currently used along with sym?metric eryptosystems in various cryptographic schemes such as Pretty Good Privacy and Privacy Enhanced Mail to provide secure and efficient electronic communications.--There are also other public key eryptosystems such as Diffie-Hellman, El-Gamal. Massey-Omura and the digital signature algorithm. These eryptosystems are based on the difficulty of finding discrete logs in large finite abelian groups. In addi?tion, there is the knapsack cryptosystem which is based on the difficulty of the knap?sack problem.--The thesis presents these methods with the underlying theoretical results.
Constructive Side Channel Analysis And Secure Design
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Author : Emmanuel Prouff
language : en
Publisher: Springer
Release Date : 2013-07-13
Constructive Side Channel Analysis And Secure Design written by Emmanuel Prouff and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-13 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Workshop, COSADE 2013, held in Paris, France, in March 2013. The 13 revised full papers presented together with two invited talks were carefully selected from 39 submissions and collect truly existing results in cryptographic engineering, from concepts to artifacts, from software to hardware, from attack to countermeasure.
An Introduction To Mathematical Cryptography
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Author : Jeffrey Hoffstein
language : en
Publisher: Springer
Release Date : 2014-09-11
An Introduction To Mathematical Cryptography written by Jeffrey Hoffstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Mathematics categories.
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.
Advances In Elliptic Curve Cryptography
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Author : Ian F. Blake
language : en
Publisher: Cambridge University Press
Release Date : 2005-04-25
Advances In Elliptic Curve Cryptography written by Ian F. Blake and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-25 with Mathematics categories.
Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.