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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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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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Elliptic Curves in Cryptography

In the past few years elliptic curve cryptography has moved from a fringe activity to a major challenger to the dominant RSA/DSA systems;

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Computational Aspects Of Algebraic Curves

many more.This book covers a wide variety of topics in the area, including elliptic curve cryptography, hyperelliptic curves, representations;

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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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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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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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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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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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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

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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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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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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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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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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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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Cryptology and Network Security

as cybersecurity; credentials; elliptic curves; payment systems; privacy-enhancing tools; lightweight cryptography; and codes and lattices;

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Guide to Pairing-Based Cryptography

background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent developments;

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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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Ranks of Elliptic Curves and Random Matrix Theory

also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book is to illustrate this;

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Advanced Topics in the Arithmetic of Elliptic Curves

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that the theory;

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Progress in Cryptology - LATINCRYPT 2010

selected from 62 submissions. The topics covered are encryption, elliptic curves, implementation of pairings, implementation of cryptographic;

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