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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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Algebraic Curves and Their Applications

This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided;

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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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Algebraic Geometry in Coding Theory and Cryptography

detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay;

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Algebraic Curves and Cryptography

, explicit arithmetic on the Jacobians of $C_{ab}$ curves and zeta functions. This volume is based on seminars on algebraic curves and cryptography;

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Number-Theoretic Methods in Cryptology

in cryptography; public-key cryptography; lattices in cryptography; number theory; pseudorandomness; and algebraic structures and analysis.;

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Discrete Algebraic Methods

chapter is devoted to combinatorial group theory and its connections to automata. Contents: Algebraic structures Cryptography Number;

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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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London Mathematical Society Lecture Note Series

Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an;

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Arithmetic Geometry

, function field analogs of the Brauer-Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic;

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Complex Algebraic Curves

Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas;

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Mathematics Of Public Key Cryptography

, Maurer reduction, isogenies, algebraic tori, hyperelliptic curves and many more.;

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A Primer of Algebraic Geometry

, dimension of algebraic sets, local theory, curves and elliptic curves, and more.;

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A Primer of Algebraic Geometry

, dimension of algebraic sets, local theory, curves and elliptic curves, and more.;

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Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians

the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion;

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Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians

the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion;

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Plane Algebraic Curves

This book introduces the contemporary notions of algebraic varieties, morphisms of varieties, and adeles to the classical subject of plane;

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Rational Algebraic Curves

prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.;

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Algebraic Curves over Finite Fields

In this Tract Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first;

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Algebraic Curves

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades;

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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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Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both;

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Algebraic Geometry

, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann-Roch theorem;

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Geometry of Algebraic Curves

In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the;

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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59

curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and;

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Algebraic Curves and Riemann Surfaces

In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the;

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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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