Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes PDF Author: Marc Fossorier
Publisher: Springer
ISBN: 3540448284
Category : Mathematics
Languages : en
Pages : 275

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Book Description
This book constitutes the refereed proceedings of the 15th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-15, held in Toulouse, France, in May 2003.The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 40 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes PDF Author: Marc Fossorier
Publisher: Springer
ISBN: 3540448284
Category : Mathematics
Languages : en
Pages : 275

Get Book Here

Book Description
This book constitutes the refereed proceedings of the 15th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-15, held in Toulouse, France, in May 2003.The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 40 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Algebraic and Combinatorial Constructions of Low-density Parity-check Codes

Algebraic and Combinatorial Constructions of Low-density Parity-check Codes PDF Author: Ivana Djurdjevic
Publisher:
ISBN:
Category :
Languages : en
Pages : 320

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Book Description


LDPC Code Designs, Constructions, and Unification

LDPC Code Designs, Constructions, and Unification PDF Author: Juane Li
Publisher: Cambridge University Press
ISBN: 1107175682
Category : Computers
Languages : en
Pages : 259

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Book Description
In this book, leading authorities unify algebraic- and graph-based LDPC code designs and constructions into a single theoretical framework.

Error-Correction Coding and Decoding

Error-Correction Coding and Decoding PDF Author: Martin Tomlinson
Publisher: Springer
ISBN: 3319511033
Category : Technology & Engineering
Languages : en
Pages : 527

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Book Description
This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes. Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of th ese codes. Part IV deals with decoders designed to realize optimum performance. Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking. This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field. This book is open access under a CC BY 4.0 license.

Construction of Structured Low-density Parity-check Codes

Construction of Structured Low-density Parity-check Codes PDF Author: Lei Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 340

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Book Description


Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes PDF Author: Marc Fossorier
Publisher: Springer Science & Business Media
ISBN: 3540314237
Category : Computers
Languages : en
Pages : 348

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Book Description
This book constitutes the refereed proceedings of the 16th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-16, held in Las Vegas, NV, USA in February 2006. The 25 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 32 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Algebraic Constructions of Nonbinary Quasi-cyclic LDPC Codes and Efficient Encoding

Algebraic Constructions of Nonbinary Quasi-cyclic LDPC Codes and Efficient Encoding PDF Author: Lingqi Zeng
Publisher:
ISBN:
Category :
Languages : en
Pages : 328

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Book Description


On Low-density Parity-check Convolutional Codes

On Low-density Parity-check Convolutional Codes PDF Author: Marcos Bruno Saldanha Tavares
Publisher: Jörg Vogt Verlag
ISBN: 3938860383
Category :
Languages : en
Pages : 238

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Book Description


Channel Codes

Channel Codes PDF Author: William Ryan
Publisher: Cambridge University Press
ISBN: 1139483013
Category : Technology & Engineering
Languages : en
Pages : 709

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Book Description
Channel coding lies at the heart of digital communication and data storage, and this detailed introduction describes the core theory as well as decoding algorithms, implementation details, and performance analyses. In this book, Professors Ryan and Lin provide clear information on modern channel codes, including turbo and low-density parity-check (LDPC) codes. They also present detailed coverage of BCH codes, Reed-Solomon codes, convolutional codes, finite geometry codes, and product codes, providing a one-stop resource for both classical and modern coding techniques. Assuming no prior knowledge in the field of channel coding, the opening chapters begin with basic theory to introduce newcomers to the subject. Later chapters then extend to advanced topics such as code ensemble performance analyses and algebraic code design. 250 varied and stimulating end-of-chapter problems are also included to test and enhance learning, making this an essential resource for students and practitioners alike.

Fundamentals of Classical and Modern Error-Correcting Codes

Fundamentals of Classical and Modern Error-Correcting Codes PDF Author: Shu Lin
Publisher: Cambridge University Press
ISBN: 1316512622
Category : Computers
Languages : en
Pages : 843

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Book Description
An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.