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Algebraic Curves in Cryptography

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas;

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Elliptic Curves

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to;

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Modern Cryptography and Elliptic Curves

to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography. This gradual;

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Number Theory With Applications to Cryptography

Exponentiation and Scalar Multiplication, Discrete log problem, elliptic curves, matrices and public-key cryptography and Implementation of Pollard Rho;

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Handbook of Elliptic and Hyperelliptic Curve Cryptography

The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The;

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An Introduction to Mathematical Cryptography

algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography;

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An Introduction to Mathematical Cryptography

algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography;

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Elliptic Curves in Cryptography

. Elliptic curves offer major advances on older systems such as increased speed, less memory and smaller key sizes. As digital signatures become more;

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Discrete Algebraic Methods

of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words;

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The Arithmetic of Elliptic Curves

. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and;

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Computational Aspects Of Algebraic Curves

importance of algebraic curves in applications including cryptography, coding theory, error-correcting codes, digital imaging, computer vision, and;

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Arithmetic of Finite Fields

from 38 submissions. The papers are organized in topical sections on invited talks; elliptic curves; applications; irreducible polynomials;

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Number-Theoretic Methods in Cryptology

were carefully reviewed and selected from 32 initial submissions. The papers are organized in topical sections on elliptic curves;

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Arithmetic Of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study;

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Introduction to Applied Algebraic Systems

. A rigorous introduction to basic number theory, rings, fields, polynomial theory, groups, algebraic geometry and elliptic curves prepares;

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Investigation into the Cryptographic Properties of Elliptic Curves Defined over a Prime Field

Forensics, language: English, abstract: Elliptic curves, as used in cryptography, are essentially points bounded by a finite prime field which;

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The Arithmetic of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study;

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A Course in Number Theory and Cryptography

This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre;

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Complex Multiplication

of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the;

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Cryptography & Secure Communication

mathematical theory underpinning cryptosystems both old and new. Major branches of classical and modern cryptography are discussed in detail, from;

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Elliptic curves and functions

An introduction in the theory of elliptic functions and elliptic curves. Both are a priori different mathematical subjects. However, there;

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Algebraic Curves and Their Applications

a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding;

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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Number Theory Revealed

traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition;

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Number-theoretic Algorithms in Cryptography

substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important;

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