This book is divided into three main parts: (I) basic computer arithmetic, (II) cryptographic arithmetic over prime fields and (III) cryptography arithmetic over binary fields. The aforementioned arithmetic is mostly the arithmetic of finite fields, and this book is essentially one of the arithmetic of prime fields and binary fields, in the context of cryptography. Descriptions of various types of cryptosystems are included to provide background context for the arithmetic.   Modern cryptosystems, used in numerous applications that require secrecy or privacy, such as electronic mail, financial transactions, medical-record keeping, government affairs, social media what-not, etc. are based on sophisticated mathematics and algorithms that in implementation are just a matter of computer arithmetic. Regarding speed, it is necessary that the arithmetic is realized at the hardware (chip) level. This book is an introduction to the implementation of cryptosystems at that level.This book is intended for advanced-level students studying Computer Science, Computer Engineering, and Electrical and Electronic Engineering as a secondary text. Professionals engaged in the business of actually building cryptosystems will also find this book useful, as well as users with a general interest in “hard” applications of mathematics.weiterlesen