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基本説明
現代暗号に関する入門書。公開鍵暗号方式とデジタル署名スキームの理論の背景にある数学を重視しつつ、様々な暗号系の構築とセキュリティ分析に必要なツールを開発。
An introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. Focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems.
Full Description
An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.
Contents
An Introduction to Cryptography.- Discrete Logarithms and Diffie-Hellman.- Integer Factorization and RSA.- Probability Theory and Information Theory.- Elliptic Curves and Cryptography.- Lattices and Cryptography.- Digital Signatures.- Additional Topics in Cryptology.