How quickly can you compute the remainder when dividing 109837^-- by 120143? Why would you even want to compute this? And what does this have to do with cryptography? Modern cryptography lies at the intersection of mathematics and computer sciences, involving number theory, alge…
"How quickly can you compute the remainder when dividing 109837⁹⁷ by 120143? Why would you even want to compute this? And what does this have to do with cryptography? Modern cryptography lies at the intersection of mathematics and computer sciences, involving number theory, alge…
"This book provides a compact course in modern cryptography. The mathematical foundations in algebra, number theory and probability are presented with a focus on their cryptographic applications. The text provides rigorous definitions and follows the provable security approach. …
Fundamentals -- Encryption schemes and denitions of security -- Elementary number theory -- Algebraic structures -- Block ciphers -- Stream ciphers -- Hash functions -- Message authentication codes -- Public-key encryption and the rsa cryptosystem -- Key establishment -- Digital…
This book provides a compact course in modern cryptography. The mathematical foundations in algebra, number theory and probability are presented with a focus on their cryptographic applications. The text provides rigorous definitions and follows the provable security approach. T…
The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on…
From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. It lays foundations for t…
From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. It lays foundations for t…