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Primality Testing and Integer Factorization in Public-Key Cryptography

of recent progress in primality testing and integer factorization, with implications for factoring based public key cryptography. For this updated;

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Primality Testing and Integer Factorization in Public-Key Cryptography

of recent progress in primality testing and integer factorization, with implications for factoring based public key cryptography. For this updated;

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Quantum Computational Number Theory

modern number theoretic problems. Key problems include prime number generation, primality testing, integer factorization, discrete logarithms;

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Computational Number Theory

polynomials at a very basic level. It then discusses elliptic curves, primality testing, algorithms for integer factorization, computing discrete;

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Number-theoretic Algorithms in Cryptography

: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic;

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An Introduction to Mathematical Cryptography

mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision;

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An Introduction to Mathematical Cryptography

mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision;

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An Introduction to Cryptography

. The next several chapters discuss DES, AES, public-key cryptography, primality testing, and various factoring methods, from classical to;

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Elementary Number Theory

revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on;

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Number Theory

-values, and elliptic curve methods in primality testing. Key topics and features include: A solid introduction to analytic number theory;

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Number Theory

-values, and elliptic curve methods in primality testing. Key topics and features include: A solid introduction to analytic number theory;

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Mathematical Foundations of Public Key Cryptography

In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching;

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Primes and Programming

of numbers, some of the more elementary methods for factorization and primality testing; that is, methods independent of a knowledge of other areas;

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Computational and Algorithmic Problems in Finite Fields

generators, modular arithmetic etc.), and computational number theory (primality testing, factoring integers, computing in algebraic number theory;

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Post-Quantum Cryptography

cryptography was born. Its primary concern is the study of public-key cryptosystems that remain - cure in a world with quantum computers. Currently;

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Finite Fields and their Applications

. Computation: algorithms and complexity, polynomial factorization, decomposition and irreducibility testing, sequences and functions. Applications;

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Lattice Basis Reduction

algorithm for factoring polynomials with rational coefficients. It very quickly became an essential tool in integer linear programming problems and;

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Prime Numbers and Computer Methods for Factorization

access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system;

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Introductory Algebraic Number Theory

which now has a wealth of applications to diophantine equations, cryptography, factoring, primality testing and public-key cryptosystems. This;

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Introductory Algebraic Number Theory

which now has a wealth of applications to diophantine equations, cryptography, factoring, primality testing and public-key cryptosystems. This;

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Fundamental Number Theory with Applications

* Expanded coverage of random number generation, Diophantine analysis, and additive number theory * More applications to cryptography, primality;

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Fundamental Number Theory with Applications

* Expanded coverage of random number generation, Diophantine analysis, and additive number theory * More applications to cryptography, primality;

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Fundamental Number Theory With Applications

* Expanded coverage of random number generation, Diophantine analysis, and additive number theory * More applications to cryptography, primality;

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The Mathematics of Encryption

this have to do with cryptography? Modern cryptography lies at the intersection of mathematics and computer sciences, involving number theory;

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Public Key Cryptography PKC 2015

This book constitutes the refereed proceedings of the 18th International Conference on Practice and Theory in Public-Key Cryptography, PKC;

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Handbook of Elliptic and Hyperelliptic Curve Cryptography

use of elliptic and hyperelliptic curves in factorization and primality proving. Two chapters explore their design and efficient;

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Post-Quantum Cryptography

Quantum computers will break today's most popular public-key cryptographic systems, including RSA, DSA, and ECDSA. This book introduces the;

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