Childs Lindsay N Cryptology and Error Correction 9783030154516

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Автор: Childs Lindsay N
Название: Cryptology and Error Correction
ISBN: 9783030154516
Издательство: Springer
Классификация:

Теория кодирования и криптография

Алгебра

Теория чисел

Топология

Организация производственных процессов

ISBN-10: 3030154513
Обложка/Формат: Hardcover
Страницы: 351
Вес: 0.91 кг.
Дата издания: 02.05.2019
Серия: Springer undergraduate texts in mathematics and technology
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, color; 6 illustrations, black and white; xiv, 351 p. 7 illus., 1 illus. in color.
Размер: 259 x 189 x 24
Читательская аудитория: Professional & vocational
Подзаголовок: An algebraic introduction and real-world applications
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are constructed, how they are made to work efficiently, and also how they can be attacked. To reach that level of understanding requires and motivates many ideas found in a first course in abstract algebra—rings, fields, finite abelian groups, basic theory of numbers, computational number theory, homomorphisms, ideals, and cosets. Those who complete this book will have gained a solid mathematical foundation for more specialized applied courses on cryptology or error correction, and should also be well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory.This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two years of a standard calculus sequence. Ideally the reader will also take a concurrent course in linear algebra or elementary matrix theory. A solutions manual for the 400 exercises in the book is available to instructors who adopt the text for their course.
Дополнительное описание: Preface.- 1. Secure, Reliable Information.- 2. Modular Arithmetic.- 3. Linear Equations Modulo m.- 4. Unique Factorization in Z.- 5. Rings and Fields.- 6. Polynomials.- 7. Matrices and Hamming Codes.- 8. Orders and Euler's theorem.- 9. RSA Cryptography an

Cryptology and Error Correction, Childs Lindsay N