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商品描述
The only book to provide a unified view of the interplay between computational number theory and cryptography
Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security. In this book, Song Y. Yang combines knowledge of these two critical fields, providing a unified view of the relationships between computational number theory and cryptography. The author takes an innovative approach, presenting mathematical ideas first, thereupon treating cryptography as an immediate application of the mathematical concepts. The book also presents topics from number theory, which are relevant for applications in public-key cryptography, as well as modern topics, such as coding and lattice based cryptography for post-quantum cryptography. The author further covers the current research and applications for common cryptographic algorithms, describing the mathematical problems behind these applications in a manner accessible to computer scientists and engineers.
- Makes mathematical problems accessible to computer scientists and engineers by showing their immediate application
- Presents topics from number theory relevant for public-key cryptography applications
- Covers modern topics such as coding and lattice based cryptography for post-quantum cryptography
- Starts with the basics, then goes into applications and areas of active research
- Geared at a global audience; classroom tested in North America, Europe, and Asia
- Incudes exercises in every chapter
- Instructor resources available on the book’s Companion Website
Computational Number Theory and Modern Cryptography is ideal for graduate and advanced undergraduate students in computer science, communications engineering, cryptography and mathematics. Computer scientists, practicing cryptographers, and other professionals involved in various security schemes will also find this book to be a helpful reference.
商品描述(中文翻譯)
唯一一本提供計算數論與密碼學之間相互作用的統一視角的書籍
計算數論和現代密碼學是資訊安全中最重要和最基本的研究領域之一。在這本書中,楊松勇結合了這兩個關鍵領域的知識,提供了計算數論與密碼學之間關係的統一視角。作者採取創新的方法,首先介紹數學概念,然後將密碼學視為這些數學概念的直接應用。書中還介紹了與公鑰密碼學應用相關的數論主題,以及現代主題,如用於後量子密碼學的編碼和基於格的密碼學。作者進一步涵蓋了常見密碼演算法的當前研究和應用,並以易於計算機科學家和工程師理解的方式描述這些應用背後的數學問題。
- 通過展示其直接應用,使數學問題對計算機科學家和工程師變得易於理解
- 介紹與公鑰密碼學應用相關的數論主題
- 涵蓋現代主題,如用於後量子密碼學的編碼和基於格的密碼學
- 從基礎開始,然後進入應用和活躍研究領域
- 面向全球讀者;在北美、歐洲和亞洲的課堂上進行測試
- 每章均包含練習題
- 書籍的伴隨網站上提供教學資源
計算數論與現代密碼學 非常適合計算機科學、通訊工程、密碼學和數學的研究生及高年級本科生。計算機科學家、實踐中的密碼學家以及參與各種安全方案的其他專業人士也會發現這本書是一本有用的參考資料。
