Learn IT - Books tags elliptic

Quantum Attacks on Public-Key Cryptosystems

Springer, 2013

The cryptosystems based on the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP) and the Elliptic Curve Discrete Logarithm Problem (ECDLP) are essentially the only three types of practical public-key cryptosystems in use. The security of these cryptosystems relies heavily on these three infeasible problems, as no...

Public Key Cryptography: Applications and Attacks (IEEE Press Series on Information and Communication Networks Security)

John Wiley & Sons, 2013

This book covers public-key cryptography, describing in depth all major public-key cryptosystems in current use, including ElGamal, RSA, Elliptic Curve, and digital signature schemes. It explains the underlying mathematics needed to build these schemes, and examines the most common techniques used in attacking them. Illustrated with many...

Algebraic Curves in Cryptography (Discrete Mathematics and Its Applications)

CRC Press, 2013

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic...

Internet Security: Cryptographic Principles, Algorithms and Protocols

John Wiley & Sons, 2003

Cryptography is the key to securing the Internet

If every communication network were to use a secure system based on encryption, then viruses, worms and hackers would have a very hard time. Unfortunately, this scenario does not reflect the reality of the Internet world today. However, with security issues becoming more and more important...

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB

John Wiley & Sons, 2004

Learn how to solve complex differential equations using MATLAB®

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB...

Cryptography and Public Key Infrastructure on the Internet

John Wiley & Sons, 2003

Cryptography and Public Key Infrastructure on the Internet provides a thorough overview of the subject. It explains how susceptible networks are to hacking and how cryptography can help. This comprehensive and practical guide covers:

* Public Key Infrastructures (PKIs); important when using cryptography in a large organisation,
...

104 Number Theory Problems: From the Training of the USA IMO Team

Birkhauser, 2006

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas,...

Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)

World Scientific Publishing, 2008

This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide...

Operator Theory and Numerical Methods (Studies in Mathematics and its Applications)

North Holland, 2001

The authors provide a very sharp theoretical study of numerical methods used to solve partial diferential equations of elliptic and parabolic type. Every numerical scheme is thoroughly dissected. As a whole, everything fits together in a harmonious way.

The book is efficiently organized and each chapter concludes with a very informative...

Advances in Elliptic Curve Cryptography (London Mathematical Society Lecture Note Series)

Cambridge University Press, 2005

Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic...

Algorithmic Cryptanalysis (Cryptography and Network Security)

CRC Press, 2009

Focusing on both private- and public-key cryptographic algorithms, this book describes algorithmic methods with cryptographically relevant examples. After introducing modern cryptography and elementary number theory and algebra, it covers linear algebra, sieving, brute force, algorithms based on the birthday paradox,...

Fault Analysis in Cryptography (Information Security and Cryptography)

Springer, 2012

In the 1970s researchers noticed that radioactive particles produced by elements naturally present in packaging material could cause bits to flip in sensitive areas of electronic chips. Research into the effect of cosmic rays on semiconductors, an area of particular interest in the aerospace industry, led to methods of hardening electronic...

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