Algebra Basics and Finite Fields

Author: Lin Dongdai / Country:
Publisher:
Publish Date: 2006-07-01
Features: This book systematically introduces the basic content and fundamental knowledge of finite fields. The entire book is divided into seven chapters: Chapter 1 introduces the basic knowledge of algebra, Chapter 2 introduces the structure of finite fields, Chapter 3 introduces polynomials over finite fields, Chapter 4 introduces the discrete logarithm problem over finite fields, Chapter 5 introduces elliptic curves over finite fields, Chapter 6 introduces pseudo-random sequences, and Chapter 7 introduces the applications of finite fields in coding theory, cryptography, and other fields. At the end of each chapter, there are exercises, some of which supplement the main content to help students review and consolidate the knowledge learned in the book. This book can be used as a graduate textbook for mathematics, information science, or other related disciplines, and can also serve as a reference book for teaching, scientific research personnel, and engineering technicians in related fields... This book systematically introduces the basic content and fundamental knowledge of finite fields. The entire book is divided into seven chapters, Chapter 1 introduces the basic knowledge of algebra, Chapter 2 introduces the structure of finite fields, Chapter 3 introduces polynomials over finite fields, Chapter 4 introduces the discrete logarithm problem over finite fields, Chapter 5 introduces elliptic curves over finite fields, Chapter 6 introduces pseudo-random sequences, and Chapter 7 introduces the applications of finite fields in coding theory and cryptography.