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Block Error-Correcting Codes : a computational primer / Sebastia Xambó-Descamps

By: Xambó-Descamps, SebastiaContributor(s): Xambó-Descamps, SebastiaMaterial type: Text

TextPublisher number: :Variety Books Publishers & Distributors | :B-10 Street No 2 West Vinod Nagar Delhi 110092 Series: UniversitextPublication details: Berlin ; New York : Springer, ©2003Description: iv, 265 pages : illustrations ; 24 cmISBN: 9783540003953Subject(s): Computer programming | Computer programming, programs and data | Error-correcting codes Information theory | Fouten | Algoritmen | Computers | CodingDDC classification: 005.72 XAM

Contents:

1. Block Error-correcting Codes -- 1.1. Basic concepts -- 1.2. Linear codes -- 1.3. Hadamard codes -- 1.4. Parameter bounds -- 2. Finite Fields -- 2.1. Z[subscript n] and F[subscript p] -- 2.2. Construction of finite fields -- 2.3. Structure of the multiplicative group of a finite field -- 2.4. Minimum polynomial -- 3. Cyclic Codes -- 3.1. Generalities -- 3.2. Effective factorization of X[superscript n] -- 1 -- 3.3. Roots of a cyclic code -- 3.4. The Meggitt decoder -- 4. Alternant Codes -- 4.1. Definitions and examples -- 4.2. Error location, error evaluation and the key equation -- 4.3. The Berlekamp-Massey-Sugiyama algorithm -- 4.4. The Peterson-Gorenstein-Zierler algorithm -- App. The WIRIS/cc system.

Summary: Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms. This combined approach facilitates the reading and understanding of the subject."--Jacket

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Item type	Current library	Call number	Status	Notes	Date due	Barcode	Item holds
Mathematics Departmental Library	SNU LIBRARY	005.72 XAM (Browse shelf(Opens below))	Not For Loan	FPDA Grant		M332

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1. Block Error-correcting Codes --
1.1. Basic concepts --
1.2. Linear codes --
1.3. Hadamard codes --
1.4. Parameter bounds --
2. Finite Fields --
2.1. Z[subscript n] and F[subscript p] --
2.2. Construction of finite fields --
2.3. Structure of the multiplicative group of a finite field --
2.4. Minimum polynomial --
3. Cyclic Codes --
3.1. Generalities --
3.2. Effective factorization of X[superscript n] --
1 --
3.3. Roots of a cyclic code --
3.4. The Meggitt decoder --
4. Alternant Codes --
4.1. Definitions and examples --
4.2. Error location, error evaluation and the key equation --
4.3. The Berlekamp-Massey-Sugiyama algorithm --
4.4. The Peterson-Gorenstein-Zierler algorithm --
App. The WIRIS/cc system.

Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms. This combined approach facilitates the reading and understanding of the subject."--Jacket

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