Esra Bas – författare

This book is a short book about public key cryptosystems, digital signature algorithms, and their basic cryptanalysis which are provided at a basic level so that it can be easy to understand for the undergraduate engineering students who can be defined as the core audience. To provide the necessary background, Chapters 1 and 2 are devoted to the selected fundamental concepts in cryptography mathematics and selected fundamental concepts in cryptography.

Chapter 3 is devoted to discrete logarithm problem (DLP), DLP-related public key cryptosystems, digital signature algorithms, and their cryptanalysis. In this chapter, the elliptic curve counterparts of the algorithms and the basic algorithms for the solution of DLP are also given. In Chapter 4, RSA public key cryptosystem, RSA digital signature algorithm, the basic cryptanalysis approaches, and the integer factorization methods are provided. Chapter 5 is devoted to GGH and NTRU public key cryptosystems, GGH and NTRU digital signature algorithms, and the basic cryptanalysis approaches, whereas Chapter 6 covers other topics including knapsack cryptosystems, identity-based public key cryptosystems, identity-based digital signature algorithms, Goldwasser-Micali probabilistic public key cryptosystem, and their cryptanalysis.

The book’s distinctive features:

This book is a short book about public key cryptosystems, digital signature algorithms, and their basic cryptanalysis which are provided at a basic level so that it can be easy to understand for the undergraduate engineering students who can be defined as the core audience. To provide the necessary background, Chapters 1 and 2 are devoted to the selected fundamental concepts in cryptography mathematics and selected fundamental concepts in cryptography.

Chapter 3 is devoted to discrete logarithm problem (DLP), DLP-related public key cryptosystems, digital signature algorithms, and their cryptanalysis. In this chapter, the elliptic curve counterparts of the algorithms and the basic algorithms for the solution of DLP are also given. In Chapter 4, RSA public key cryptosystem, RSA digital signature algorithm, the basic cryptanalysis approaches, and the integer factorization methods are provided. Chapter 5 is devoted to GGH and NTRU public key cryptosystems, GGH and NTRU digital signature algorithms, and the basic cryptanalysis approaches, whereas Chapter 6 covers other topics including knapsack cryptosystems, identity-based public key cryptosystems, identity-based digital signature algorithms, Goldwasser-Micali probabilistic public key cryptosystem, and their cryptanalysis.

The book’s distinctive features:

This textbook explores probability and stochastic processes at a level that does not require any prior knowledge except basic calculus. It presents the fundamental concepts in a step-by-step manner, and offers remarks and warnings for deeper insights. The chapters include basic examples, which are revisited as the new concepts are introduced. To aid learning, figures and diagrams are used to help readers grasp the concepts, and the solutions to the exercises and problems. Further, a table format is also used where relevant for better comparison of the ideas and formulae. The first part of the book introduces readers to the essentials of probability, including combinatorial analysis, conditional probability, and discrete and continuous random variable. The second part then covers fundamental stochastic processes, including point, counting, renewal and regenerative processes, the Poisson process, Markov chains, queuing models and reliability theory. Primarily intended for undergraduate engineering students, it is also useful for graduate-level students wanting to refresh their knowledge of the basics of probability and stochastic processes.