Invitation to Cryptography
暫譯: 密碼學入門

Thomas H. Barr

  • 出版商: Prentice Hall
  • 出版日期: 2001-08-31
  • 售價: $931
  • 語言: 英文
  • 頁數: 408
  • 裝訂: Paperback
  • ISBN: 0130889768
  • ISBN-13: 9780130889768
  • 相關分類: 資訊安全
  • 下單後立即進貨 (約5~7天)

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商品描述

For a one-semester undergraduate-level course in Cryptology, Mathematics, or Computer Science.

Designed for either the intelligent freshman (good at math) or for a low-level junior year first course, Cryptology introduces a wide range of up-to-date cryptological concepts along with the mathematical ideas that are behind them. The new and old are organized around a historical framework. A variety of mathematical topics that are germane to cryptology (e.g., modular arithmetic, Boolean functions, complexity theory, etc.) are developed, but they do not overshadow the main focus of the text. Unlike other texts in this field, Cryptology brings students directly to concepts of classical substitutions and transpositions and issues in modern cryptographic methods.

Table of Contents

1. Origins, Examples, and Ideas in Cryptology.

A Crypto-Chronology. Cryptology and Mathematics: Functions. Crypto: Models, Maxims, and Mystique.


2. Classical Cryptographic Techniques.

Shift Ciphers and Modular Arithmetic. Affine Ciphers; More Modular Arithmetic. Substitution Ciphers. Transposition Ciphers. Polyalphabetic Substitutions. Probability and Expectation. The Friedman and Kasiski Tests. Cryptanalysis of the Vingenere Cipher. The Hill Cipher; Matrices.


3. Symmetric Computer-Based Cryptology.

Number Representation. Boolean and Numerical Functions. Computational Complexity. Stream Ciphers and Feedback Shift Registers. Block Ciphers. Hash Functions.


4. Public-Key Cryptography.

Primes, Factorization, and the Euclidean Algorithm. The Merkle-Hellman Knapsack. Fermat's Little Theorem. The RSA Public-Key Cryptosystem. Key Agreement. Digital Signatures. Zero-Knowledge Identification Protocols.


5. Case Studies and Issues.

Case Study I: DES. Case Study II: PGP. Public-Key Infrastructure. Law and Issues Regarding Cryptography.


Glossary.
Bibliography.
Table of Primes.
Answers to Selected Exercises.
Index.

商品描述(中文翻譯)

本書適用於一學期的本科生課程,主題為密碼學、數學或計算機科學。

本書設計適合聰明的新人(數學能力強)或低年級的初級課程,密碼學介紹了廣泛的最新密碼學概念以及其背後的數學思想。新舊概念圍繞著歷史框架組織。發展了與密碼學相關的各種數學主題(例如,模運算、布林函數、複雜性理論等),但這些主題並不會掩蓋文本的主要焦點。與該領域的其他文本不同,密碼學直接將學生引入古典替代和置換的概念以及現代密碼方法中的問題。


目錄


1. 密碼學的起源、範例和思想。


密碼年表。密碼學與數學:函數。密碼:模型、格言和神秘。



2. 古典密碼技術。


移位密碼和模運算。仿射密碼;更多模運算。替代密碼。置換密碼。多字母替代。概率與期望。Friedman 和 Kasiski 測試。Vigenere 密碼的密碼分析。Hill 密碼;矩陣。



3. 對稱計算機基礎的密碼學。


數字表示。布林和數值函數。計算複雜性。流密碼和反饋移位寄存器。區塊密碼。雜湊函數。



4. 公鑰密碼學。


質數、因式分解和歐幾里得算法。Merkle-Hellman 背包問題。費馬小定理。RSA 公鑰密碼系統。密鑰協議。數位簽名。零知識識別協議。



5. 案例研究和問題。


案例研究 I:DES。案例研究 II:PGP。公鑰基礎設施。法律與密碼學相關問題。



術語表。
參考文獻。
質數表。
選擇題答案。
索引。