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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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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 over a Finite Field

This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has;

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Algebraic Curves and Cryptography

of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of 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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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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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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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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LMSST

The study of (special cases of) elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centres;

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London Mathematical Society Student Texts

The study of (special cases of) elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centres;

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Algebraic Geometry And Its Applications

elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions;

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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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Finite Fields and their Applications

: algebraic coding theory, cryptography, algebraic geometry over finite fields, finite incidence geometry, designs, combinatorics, quantum information;

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Handbook of Finite Fields

fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes;

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Algebraic Geometry Codes

Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains;

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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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Computational Aspects Of Algebraic Curves

of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research;

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The Large Sieve and Its Applications

, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials;

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Computational and Algorithmic Problems in Finite Fields

factorization, finding irreducible and primitive polynomials, distribution of these primitive polynomials and of primitive points on elliptic curves;

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Algebraic Number Theory

broader theory to include the arithmetic of algebraic curves over finite fields, and even suggests a theory for studying higher dimensional;

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Introduction to Compact Riemann Surfaces and Dessins d'Enfants

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Introduction To Compact Riemann Surfaces And Dessins D'Enfan

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Arithmetic of Diagonal Hypersurfaces over Finite Fields

There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are;

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Finite Fields

in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.;

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Geometry and Interpolation of Curves and Surfaces

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many;

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Geometry and Interpolation of Curves and Surfaces

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many;

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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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