Textbook in PDF format

Cryptographic definitions are often abstract and complex, making them challenging for beginners to understand and apply.
This concise textbook/resource provides a structured introduction to cryptographic definitions, explaining the syntax definitions and security definitions of cryptographic primitives. It builds foundational knowledge by covering essential mathematical concepts and formal definitions in cryptology. Through a carefully designed learning curve, readers will grasp key elements, why they are defined this way, and how new definitions are developed. The book’s presentation enables readers to validate and propose cryptographic definitions, offering a step-by-step guide to understanding them.
A definition is a statement that explains the meaning of a term, word, concept, or idea. It serves to clarify and provide a precise understanding of the subject. In modern cryptography, cryptographic definitions are adopted to formally introduce new cryptographic concepts to the community. The Chapter 1 provides an overview of cryptographic definitions, introducing the structures and components of this kind of definitions.
Topics and features:
Covers all essential components of cryptographic definitions from sets and functions, making the subject accessible to beginners
Introduces intermediate concepts to smooth the transition from basic principles to formal definitions
Equips readers with the skills to validate and propose cryptographic definitions, linking theory with research
Minimizes unnecessary complexity while retaining depth, thereby ensuring a smooth learning experience
Preface
Overview of Cryptographic Definitions
Mathematics
Computing Machines
Computational Complexity
From Computational Complexity to Cryptography: Transition
Cryptographic Primitives: Syntax Definitions
Cryptographic Primitives: Security Definitions
Other Readings