Handbook of elliptic and hyperelliptic curve cryptography. (2006)

• Record Type: Book
• Further Information: Note: [editors], Henri Cohen, Gerhard Frey ; [authors], Roberto Avanzi [and others].
• Other Names: Cohen, Henri; Frey, Gerhard, 1944-; Avanzi, Roberto
• Contents: Preface; Introduction to Public-Key Cryptography; Mathematical Background ; Algebraic Background; Background on p -adic Numbers; Background on Curves and Jacobians; Varieties Over Special Fields; Background on Pairings; Background on Weil Descent; Cohomological Background on Point Counting; Elementary Arithmetic ; Exponentiation; Integer Arithmetic; Finite Field Arithmetic; Arithmetic of p -adic Numbers; Arithmetic of Curves ; Arithmetic of Elliptic Curves; Arithmetic of Hyperelliptic Curves; Arithmetic of Special Curves; Implementation of Pairings; Point Counting ; Point Counting on Elliptic and Hyperelliptic Curves; Complex Multiplication; Computation of Discrete Logarithms ; Generic Algorithms for Computing Discrete Logarithms; Index Calculus; Index Calculus for Hyperelliptic Curves; Transfer of Discrete Logarithms; Applications ; Algebraic Realizations of DL Systems; Pairing-Based Cryptography; Compositeness and Primality Testing-Factoring; Realizations of DL Systems ; Fast Arithmetic Hardware; Smart Cards; Practical Attacks on Smart Cards; Mathematical Countermeasures Against Side-Channel Attacks; Random Numbers—Generation and Testing; References
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2006
• Extent: 1 online resource (xxxiv, 808 pages), illustrations
• Subjects: 516.3/52; Curves, Elliptic -- Handbooks, manuals, etc; Cryptography -- Mathematics -- Handbooks, manuals, etc; Machine theory -- Handbooks, manuals, etc; Curves, Elliptic -- Handbooks, manuals, etc; Cryptography -- Mathematics -- Handbooks, manuals, etc; Machine theory -- Handbooks, manuals, etc; Courbes elliptiques -- Guides, manuels, etc; Cryptographie -- Mathématiques -- Guides, manuels, etc; Automates mathématiques, Théorie des -- Guides, manuels, etc; MATHEMATICS -- Geometry -- Algebraic; Cryptography -- Mathematics; Curves, Elliptic; Machine theory; Electronic books; Handbooks and manuals
• Languages: English
• ISBNs: 1420034987; 9781420034981; 1584885181; 9781584885184
• Notes: Note: Includes bibliographical references (pages 737-775) and indexes.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.