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Algebraic Geometry Codes

, decoding, sphere packing, codes from multi-dimensional varieties, and applications of algebraic geometry codes. The book is the natural;

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Construction And Decoding Of Algebraic Geometry Codes

of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are;

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Quantum Codes for Topological Quantum Computation

This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological;

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Algebraic Codes on Lines, Planes, and Curves

algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon;

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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 Geometry in Coding Theory and Cryptography

applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field;

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Advances In Algebraic Geometry Codes

Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes;

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Elements of Algebraic Coding Theory

is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates;

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Channel Codes

-Solomon codes, convolutional codes, finite geometry codes, and product codes, providing a one-stop resource for both classical and modern coding;

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32-Bit Cyclic Redundancy Code Polynomial

detect accidental alterations of data during coding and decoding. Castagnoli's results on the algorithmic selection of CRC provide codes which;

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LDPC Code Designs, Constructions, and Unification

Written by leading experts, this self-contained text provides systematic coverage of LDPC codes and their construction techniques, unifying;

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Concise Encyclopedia of Coding Theory

mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise;

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Algebraic Curves in Cryptography

, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected;

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Algebraic Geometry And Its Applications

; and algorithmic applications of algebraic geometry.;

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Introduction To Algebraic Coding Theory

of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars).An expert in algebra and algebraic geometry, Tzuong;

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Arithmetic Differential Equations

differential equations'. The main application of this theory concerns the construction and study of quotients of algebraic curves by correspondences;

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Algebraic Geometry and Commutative Algebra

Algebraic Geometry is a fascinating branch of Mathematics that combines methods from both Algebra and Geometry. It transcends the limited;

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Joint Source Channel Coding Using Arithmetic Codes

Based on the encoding process, arithmetic codes can be viewed as tree codes and current proposals for decoding arithmetic codes with;

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Algebraic Geometry, Volume 3

Algebraic geometry plays an important role in several branches of science and technology. This is the last of three volumes by Kenji Ueno;

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Network Coding and Subspace Designs

students in Mathematics, Computer Science, and Electrical Engineering a comprehensive reference guide to the construction of optimal network codes;

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Non-Binary Error Control Coding for Wireless Communication and Data Storage

perform well in fading conditions without any expansion in bandwidth use, and algebraic-geometric codes which are an extension of Reed-Solomon;

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Quantum Error Correction

This text presents an algebraic approach to the construction of several important families of quantum codes derived from classical codes by;

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Codes on Euclidean Spheres

Codes on Euclidean spheres are often referred to as spherical codes. They are of interest from mathematical, physical and engineering;

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Coding Theory and Cryptography

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular;

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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

between algebraic, differential and symplectic geometry settings is also covered. Unstable objects in moduli problems -- a result of the;

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Quantum Error Correction: Symmetric, Asymmetric, Synchronizable, and Convolutional Codes

This text presents an algebraic approach to the construction of several important families of quantum codes derived from classical codes by;

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The weight distribution of inequivalent Goppa codes

posses an interesting algebraic structure and a lot of good properties. The idea of equivalence of codes gives a precise definition on when two;

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