Computational Number Theory and Modern Cryptography (Hardcover)

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. 

這本書是唯一一本提供計算數論和密碼學相互關聯的統一觀點的書籍。

計算數論和現代密碼學是信息安全領域中最重要和基礎的研究領域之一。在這本書中，作者楊松結合了這兩個關鍵領域的知識，提供了計算數論和密碼學之間關係的統一觀點。作者採用了創新的方法，首先介紹數學概念，然後將密碼學作為數學概念的直接應用。該書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，如編碼和基於格的後量子密碼學。作者還涵蓋了常見密碼算法的當前研究和應用，以一種對計算機科學家和工程師易於理解的方式描述這些應用背後的數學問題。

• 通過展示數學問題的直接應用，使計算機科學家和工程師能夠理解


• 介紹與公鑰密碼學應用相關的數論主題


• 涵蓋現代主題，如編碼和基於格的後量子密碼學


• 從基礎知識開始，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經過測試


• 每章都包含練習題


• 教師資源可在書籍的附屬網站上獲得

這本《計算數論和現代密碼學》適合計算機科學、通信工程、密碼學和數學的研究生和高年級本科生。計算機科學家、實踐密碼學家和其他參與各種安全方案的專業人士也會發現這本書是一本有用的參考資料。