Designs From Linear Codes
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Designs From Linear Codes
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Author : Cunsheng Ding
language : en
Publisher: World Scientific
Release Date : 2018-08-24
Designs From Linear Codes written by Cunsheng Ding and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-24 with Computers categories.
This monograph aims to provide a well-rounded and detailed account of designs using linear codes. Most chapters of this monograph cover on the designs of linear codes. A few chapters deal with designs obtained from linear codes in other ways. Connections among ovals, hyperovals, maximal arcs, ovoids, linear codes and designs are also investigated. This book consists of both classical results on designs from linear codes and recent results yet published by others.This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications, or finite geometry.
Designs From Linear Codes
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Author : Cunsheng Ding
language : en
Publisher:
Release Date : 2021
Designs From Linear Codes written by Cunsheng Ding and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Coding theory categories.
"Since the publication of the first edition of this monograph, a generalisation of the Assmus-Mattson theorem for linear codes over finite fields has been developed, two 70-year breakthroughs and a considerable amount of other progress on t-designs from linear codes have been made. This second edition is a substantial revision and expansion of the first edition. Two new chapters and two new appendices have been added, and most chapters of the first edition have been revised. It provides a well-rounded and detailed account of t-designs from linear codes. Most chapters of this book cover the support designs of linear codes. A few chapters deal with designs obtained from linear codes in other ways. Connections among ovals, hyperovals, maximal arcs, ovoids, special functions, linear codes and designs are also investigated. This book consists of both classical and recent results on designs from linear codes. It is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications, or finite geometry. It can also be used as a textbook for postgraduates in these subject areas"--
Designs And Their Codes
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Author : E. F. Assmus
language : en
Publisher: Cambridge University Press
Release Date : 1992-08-28
Designs And Their Codes written by E. F. Assmus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-28 with Mathematics categories.
A self-contained account suited for a wide audience describing coding theory, combinatorial designs and their relations.
Combinatorial Designs And Their Applications
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Author : Kathleen Quinn
language : en
Publisher: Taylor & Francis
Release Date : 2023-02-06
Combinatorial Designs And Their Applications written by Kathleen Quinn and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-06 with Mathematics categories.
The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature.The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.
Fundamentals Of Error Correcting Codes
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Author : W. Cary Huffman
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-18
Fundamentals Of Error Correcting Codes written by W. Cary Huffman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-18 with Technology & Engineering categories.
Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, there is much coverage of techniques which could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.
Codes And Designs
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Author : K. T. Arasu
language : en
Publisher: Walter de Gruyter
Release Date : 2002
Codes And Designs written by K. T. Arasu and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Crc Handbook Of Combinatorial Designs
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Author : Charles J. Colbourn
language : en
Publisher: CRC Press
Release Date : 2010-12-12
Crc Handbook Of Combinatorial Designs written by Charles J. Colbourn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-12 with Mathematics categories.
From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:
Polynomial Theory Of Error Correcting Codes
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Author : Giovanni Cancellieri
language : en
Publisher: Springer
Release Date : 2014-11-08
Polynomial Theory Of Error Correcting Codes written by Giovanni Cancellieri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-08 with Technology & Engineering categories.
The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction. It presents both new concepts and new families of codes. For example, lengthened and modified lengthened cyclic codes are introduced as a bridge towards time-invariant convolutional codes and their extension to time-varying versions. The novel families of codes include turbo codes and low-density parity check (LDPC) codes, the features of which are justified from the structural properties of the component codes. Design procedures for regular LDPC codes are proposed, supported by the presented theory. Quasi-cyclic LDPC codes, in block or convolutional form, represent one of the most original contributions of the book. The use of more than 100 examples allows the reader gradually to gain an understanding of the theory, and the provision of a list of more than 150 definitions, indexed at the end of the book, permits rapid location of sought information.
Fundamentals Of Information Theory And Coding Design
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Author : Roberto Togneri
language : en
Publisher: CRC Press
Release Date : 2003-01-13
Fundamentals Of Information Theory And Coding Design written by Roberto Togneri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-13 with Computers categories.
Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret
Channel Codes
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Author : William Ryan
language : en
Publisher: Cambridge University Press
Release Date : 2009-09-17
Channel Codes written by William Ryan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-17 with Technology & Engineering categories.
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.