Pretzel,
Oliver Pretzel
Error-Correcting Codes and Finite Fields
Paperback Engels 1996 9780192690678Levertijd ongeveer 11 werkdagen
Gratis verzonden
Samenvatting
This book provides the reader with all the tools necessary to implement modern error-processing schemes. It assumes only a basic knowledge of linear algebra and develops the mathematical theory in parallel with the codes. Central to the text are worked examples which motivate and explain the theory.
Specificaties
ISBN13:9780192690678
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:356
Uitgever:Clarendon Press
Hoofdrubriek:Automatisering algemeen, Computer en informatica
Lezersrecensies
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Inhoudsopgave
Introduction; Block codes, weight, and distance; Linear codes; Error processing for linear codes; Hamming codes; Appendix: Linear algebra; Introduction and an example; Euclid's algorithm; Invertible and irreducible elements; The construction of finite fields; The structure of finite fields; Roots of polynomials; Primitive elements; Appendix: Polynomials over a field; BCH-codes as subcodes of Hamming codes; BCH codes as polynomial codes; Decoding BCH codes (1) the fundamental equation; Decoding BCH codes: (2) an error processing algorithm; Reed-Solomon codes and burst error correction; Bounds on codes; Classical Goppa codes; Classical Goppa codes: error processing; Introduction to algebraic curves; Functions on algebraic curves; A survey of the theory of algebraic curves; Geometric Goppa codes; An error processor for geometric Goppa codes.
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