书目名称 | Cryptology and Error Correction | 副标题 | An Algebraic Introdu | 编辑 | Lindsay N. Childs | 视频video | | 概述 | Exercises in each chapter are real-world application based.Provides solid mathematical preparation for more specialized applied courses on cryptography/error correction.Presents some of the remarkable | 丛书名称 | Springer Undergraduate Texts in Mathematics and Technology | 图书封面 |  | 描述 | 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 year | 出版日期 | Textbook 2019 | 关键词 | Caeser ciphers; Chinese Remainder Theorem; El Gamal cryptography; Lagrange‘s Theorem; Luhn‘s formula; Ver | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-15453-0 | isbn_ebook | 978-3-030-15453-0Series ISSN 1867-5506 Series E-ISSN 1867-5514 | issn_series | 1867-5506 | copyright | Springer Nature Switzerland AG 2019 |
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