Author: Elwyn R. BerlekampPublisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 75
Book Description
A Survey of Algebraic Coding Theory
Author: Elwyn R. BerlekampPublisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 75
Book Description
Berlekamp, Elwyn r. A survey of algebraic coding theory
Author: Algebraic Coding Theory (Revised Edition)
Author: Elwyn R BerlekampPublisher: World Scientific
ISBN: 981463591X
Category : Mathematics
Languages : en
Pages : 501
Book Description
This is the revised edition of Berlekamp's famous book, 'Algebraic Coding Theory', originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently became known as the Berlekamp-Massey Algorithm. Another is the Berlekamp algorithm for factoring polynomials over finite fields, whose later extensions and embellishments became widely used in symbolic manipulation systems. Other novel algorithms improved the basic methods for doing various arithmetic operations in finite fields of characteristic two. Other major research contributions in this book included a new class of Lee metric codes, and precise asymptotic results on the number of information symbols in long binary BCH codes.Selected chapters of the book became a standard graduate textbook.Both practicing engineers and scholars will find this book to be of great value.
A Survey of Algebraic Coding Theory
Author: Elwyn R. BerlekampPublisher: Springer
ISBN: 370914325X
Category : Technology & Engineering
Languages : en
Pages : 76
Book Description
Algebraic Coding Theory
Author: Elwyn R. BerlekampPublisher:
ISBN: 9780894120633
Category : Coding theory
Languages : en
Pages : 0
Book Description
Algebraic Coding Theory: History and Development
Author: Elwyn R. BerlekampPublisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 0
Book Description
Introduction To Algebraic Coding Theory
Author: Tzuong-tsieng MohPublisher: World Scientific
ISBN: 9811220980
Category : Mathematics
Languages : en
Pages : 266
Book Description
In this age of technology where messages are transmitted in sequences of 0's and 1's through space, errors can occur due to noisy channels. Thus, self-correcting code is vital to eradicate these errors when the number of errors is small. It is widely used in industry for a variety of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars).An expert in algebra and algebraic geometry, Tzuong-Tsieng Moh covers many essential aspects of algebraic coding theory in this book, such as elementary algebraic coding theories, the mathematical theory of vector spaces and linear algebras behind them, various rings and associated coding theories, a fast decoding method, useful parts of algebraic geometry and geometric coding theories.This book is accessible to advanced undergraduate students, graduate students, coding theorists and algebraic geometers.
Algebraic and coding theory
Author: Publisher:
ISBN: 9781682503010
Category : Coding theory
Languages : en
Pages : 187
Book Description
Coding Theory and Algebraic Geometry
Author: Henning StichtenothPublisher: Springer
ISBN: 3540472673
Category : Mathematics
Languages : en
Pages : 235
Book Description
About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings.
Elements of Algebraic Coding Theory
Author: Lekh R. VermaniPublisher: Routledge
ISBN: 1351452908
Category : Mathematics
Languages : en
Pages : 256
Book Description
Coding theory came into existence in the late 1940s and is concerned with devising efficient encoding and decoding procedures. The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text. BCH and cyclic, Group codes, Hamming codes, polynomial as well as many other codes are introduced in this textbook. Incorporating numerous worked examples and complete logical proofs, it is an ideal introduction to the fundamental of algebraic coding.