handbook of elliptic and hyperelliptic curve cryptography discrete mathematics and its applications

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Handbook Of Elliptic And Hyperelliptic Curve Cryptography

Author : Henri Cohen
ISBN : 1420034987
Genre : Mathematics
File Size : 32. 49 MB
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The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The main reason is that no subexponential algorithm for computing discrete logarithms on small genus curves is currently available, except in very special cases. Therefore curve-based cryptosystems require much smaller key sizes than RSA to attain the same security level. This makes them particularly attractive for implementations on memory-restricted devices like smart cards and in high-security applications. The Handbook of Elliptic and Hyperelliptic Curve Cryptography introduces the theory and algorithms involved in curve-based cryptography. After a very detailed exposition of the mathematical background, it provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides the algorithms in an explicit manner. It also surveys generic methods to compute discrete logarithms and details index calculus methods for hyperelliptic curves. For some special curves the discrete logarithm problem can be transferred to an easier one; the consequences are explained and suggestions for good choices are given. The authors present applications to protocols for discrete-logarithm-based systems (including bilinear structures) and explain the use of elliptic and hyperelliptic curves in factorization and primality proving. Two chapters explore their design and efficient implementations in smart cards. Practical and theoretical aspects of side-channel attacks and countermeasures and a chapter devoted to (pseudo-)random number generation round off the exposition. The broad coverage of all- important areas makes this book a complete handbook of elliptic and hyperelliptic curve cryptography and an invaluable reference to anyone interested in this exciting field.

Progress In Cryptology Africacrypt 2014

Author : David Pointcheval
ISBN : 9783319067346
Genre : Computers
File Size : 77. 42 MB
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This book constitutes the refereed proceedings of the 7th International Conference on the Theory and Application of Cryptographic Techniques in Africa, AFRICA CRYPT 2014, held in Marrakesh, Morocco in May 2014. The 26 papers presented together with 1 invited talk were carefully reviewed and selected from 83 submissions. The aim of Africa crypt 2014 is to provide an international forum for practitioners and researchers from industry, academia and government from all over the world for a wide ranging discussion of all forms of cryptography and its applications as follows: Public-Key Cryptography, Hash Functions, Secret-Key Cryptanalysis, Number Theory, Hardware Implementation, Protocols and Lattice-based Cryptography.

Selected Areas In Cryptography

Author : Roberto Avanzi
ISBN : 9783642041594
Genre : Computers
File Size : 64. 49 MB
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This volume constitutes the selected papers of the 15th Annual International Workshop on Selected Areas in Cryptography, SAC 2008, held in Sackeville, New Brunswick, Canada, in August 14-15, 2008. From a total of 99 technical papers, 27 papers were accepted for presentation at the workshop. They cover the following topics: elliptic and hyperelliptic arithmetic, block ciphers, hash functions, mathematical aspects of applied cryptography, stream ciphers cryptanalysis, cryptography with algebraic curves, curve-based primitives in hardware.

Selected Areas In Cryptography Sac 2014

Author : Antoine Joux
ISBN : 9783319130514
Genre : Computers
File Size : 54. 80 MB
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This book constitutes the proceedings of the 21st International Conference on Selected Areas in Cryptography, SAC 2014, held in Montreal, QC, Canada, in August 2014. The 22 papers presented in this volume were carefully reviewed and selected from 103 submissions. There are four areas covered at each SAC conference. The three permanent areas are: design and analysis of symmetric key primitives and cryptosystems, including block and stream ciphers, hash function, MAC algorithms, cryptographic permutations, and authenticated encryption schemes; efficient implementations of symmetric and public key algorithms; mathematical and algorithmic aspects of applied cryptology. This year, the fourth area for SAC 2014 is: algorithms for cryptography, cryptanalysis and their complexity analysis.

Theory And Applications Of Models Of Computation

Author : Jin-Yi Cai
ISBN : 9783540725046
Genre : Computers
File Size : 88. 8 MB
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This book constitutes the refereed proceedings of the 4th International Conference on Theory and Applications of Models of Computation, TAMC 2007, held in Shanghai, China in May 2007. It addresses all major areas in computer science; mathematics, especially logic; and the physical sciences, particularly with regard to computation and computability theory. The papers particularly focus on algorithms, complexity and computability theory.

Mathematical Reviews

Author :
ISBN : UOM:39015076649873
Genre : Mathematics
File Size : 24. 56 MB
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Quantum Communication Measurement And Computing Qcmc

Author : Alexander Lvovsky
ISBN : UCSD:31822037772399
Genre : Computers
File Size : 45. 11 MB
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The volume contains the proceedings of the 2008 International Conference on Quantum Communication, Measurement and Computing. This meeting has been the leading conference in the field for more than two decades. The articles cover quantum information theory, quantum optics, quantum cryptography, experimental tools for quantum information science and related subjects.

Pearls Of Discrete Mathematics

Author : Martin J. Erickson
ISBN : 1439816166
Genre : Computers
File Size : 81. 50 MB
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This book presents intriguing examples, facts, theorems, and proofs from the world of discrete mathematics. The author presents special topics that are not found elsewhere, including the upward extension of Pascal's triangle, the problem of counting Rook paths and Queen paths, higher-dimensional tic-tac-toe, recurrence relations and generating functions, the pigeonhole principle, information theory and codes, and game theory. He also explores connections between discrete structures and other branches of mathematics, such as combinatorics and algebra. The text includes examples, exercises, and appendices containing Mathematica ® calculations and related Internet resources.

A Java Library Of Graph Algorithms And Optimization

Author : Hang T. Lau
ISBN : UOM:39076002637754
Genre : Computers
File Size : 32. 80 MB
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Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph Algorithms and Optimization provides the source code for a library of Java programs that can be used to solve problems in graph theory and combinatorial optimization. Self-contained and largely independent, each topic starts with a problem description and an outline of the solution procedure, followed by its parameter list specification, source code, and a test example that illustrates the usage of the code. An accompanying CD-ROM contains all of the Java code included in the book.

Komplexit Tstheorie Und Kryptologie

Author : Jörg Rothe
ISBN : 9783540797456
Genre : Computers
File Size : 38. 7 MB
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Während die Kryptologie Konzepte und Methoden aus der Komplexitätstheorie verwendet, ist die Forschung in der Komplexitätstheorie wiederum oft durch Fragen aus der Kryptologie motiviert. Der Band hebt die enge Verflechtung dieser beiden Gebiete hervor und führt auf verständlicher Weise in das faszinierende Gebiet der „Kryptokomplexität" ein. Das Buch enthält zahlreiche Abbildungen und Übungsaufgaben sowie ein ausführliches Stichwort- und Literaturverzeichnis. Es eignet sich für Studierende der Informatik, Mathematik oder Ingenieurswissenschaften.

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