Designs From Linear Codes

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Designs From Linear Codes (Second Edition)

Author : Cunsheng Ding,Chunming Tang
Publisher : World Scientific
Page : 540 pages
File Size : 51,8 Mb
Release : 2021-12-20
Category : Computers
ISBN : 9789811251344

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Designs From Linear Codes (Second Edition) by Cunsheng Ding,Chunming Tang Pdf

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.Related Link(s)

Designs from Linear Codes

Author : Cunsheng Ding,Chunming Tang
Publisher : Unknown
Page : 540 pages
File Size : 46,9 Mb
Release : 2021
Category : Coding theory
ISBN : 9811251339

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Designs from Linear Codes by Cunsheng Ding,Chunming Tang Pdf

"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 From Linear Codes

Author : Ding Cunsheng
Publisher : Unknown
Page : 128 pages
File Size : 45,7 Mb
Release : 2019
Category : SCIENCE
ISBN : 9813274336

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Designs From Linear Codes by Ding Cunsheng Pdf

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 and Their Codes

Author : E. F. Assmus,J. D. Key
Publisher : Cambridge University Press
Page : 366 pages
File Size : 50,7 Mb
Release : 1994-01-06
Category : Mathematics
ISBN : 0521458390

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Designs and Their Codes by E. F. Assmus,J. D. Key Pdf

A self-contained account suited for a wide audience describing coding theory, combinatorial designs and their relations.

Codes, Cryptology and Information Security

Author : Said El Hajji,Abderrahmane Nitaj,El Mamoun Souidi
Publisher : Springer
Page : 384 pages
File Size : 52,8 Mb
Release : 2017-03-07
Category : Computers
ISBN : 9783319555898

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Codes, Cryptology and Information Security by Said El Hajji,Abderrahmane Nitaj,El Mamoun Souidi Pdf

This book constitutes the proceedings of the Second International Conference on Codes, Cryptology and Information Security, C2SI 2017, held in Rabat, Morocco, in April 2017. The 19 regular papers presented together with 5 invited talks were carefully reviewed and selected from 72 submissions. The first aim of this conference is to pay homage to Claude Carlet for his valuable contribution in teaching and disseminating knowledge in coding theory and cryptography worldwide, especially in Africa. The second aim of the conference is to provide an international forum for researchers from academia and practitioners from industry from all over the world for discussion of all forms of cryptology, coding theory and information security.

Codes, Designs and Geometry

Author : Vladimir Tonchev
Publisher : Springer Science & Business Media
Page : 114 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461314233

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Codes, Designs and Geometry by Vladimir Tonchev Pdf

Codes, Designs, and Geometry brings together in one place important contributions and up-to-date research results in this important area. Codes, Designs, and Geometry serves as an excellent reference, providing insight into some of the most important research issues in the field.

Codes and Designs

Author : K. T. Arasu,Ákos Seress
Publisher : Walter de Gruyter
Page : 332 pages
File Size : 43,7 Mb
Release : 2002
Category : Computers
ISBN : 9783110173963

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Codes and Designs by K. T. Arasu,Ákos Seress Pdf

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.

Error-Correction Coding and Decoding

Author : Martin Tomlinson,Cen Jung Tjhai,Marcel A. Ambroze,Mohammed Ahmed,Mubarak Jibril
Publisher : Springer
Page : 527 pages
File Size : 53,6 Mb
Release : 2017-02-21
Category : Technology & Engineering
ISBN : 9783319511030

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Error-Correction Coding and Decoding by Martin Tomlinson,Cen Jung Tjhai,Marcel A. Ambroze,Mohammed Ahmed,Mubarak Jibril Pdf

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.

Theory of Factorial Design

Author : Ching-Shui Cheng
Publisher : CRC Press
Page : 403 pages
File Size : 47,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781466505582

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Theory of Factorial Design by Ching-Shui Cheng Pdf

Bringing together both new and old results, Theory of Factorial Design: Single- and Multi-Stratum Experiments provides a rigorous, systematic, and up-to-date treatment of the theoretical aspects of factorial design. To prepare readers for a general theory, the author first presents a unified treatment of several simple designs, including completely randomized designs, block designs, and row-column designs. As such, the book is accessible to readers with minimal exposure to experimental design. With exercises and numerous examples, it is suitable as a reference for researchers and as a textbook for advanced graduate students. In addition to traditional topics and a thorough discussion of the popular minimum aberration criterion, the book covers many topics and new results not found in existing books. These include results on the structures of two-level resolution IV designs, methods for constructing such designs beyond the familiar foldover method, the extension of minimum aberration to nonregular designs, the equivalence of generalized minimum aberration and minimum moment aberration, a Bayesian approach, and some results on nonregular designs. The book also presents a theory that provides a unifying framework for the design and analysis of factorial experiments with multiple strata (error terms) arising from complicated structures of the experimental units. This theory can be systematically applied to various structures of experimental units instead of treating each on a case-by-case basis.

Combinatorial Designs and their Applications

Author : Kathleen Quinn,Bridget Webb,F.C. Holroyd,Chris Rowley
Publisher : Taylor & Francis
Page : 160 pages
File Size : 41,6 Mb
Release : 2023-02-06
Category : Mathematics
ISBN : 9781351459747

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Combinatorial Designs and their Applications by Kathleen Quinn,Bridget Webb,F.C. Holroyd,Chris Rowley Pdf

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

Author : W. Cary Huffman,Vera Pless
Publisher : Cambridge University Press
Page : 668 pages
File Size : 49,7 Mb
Release : 2010-02-18
Category : Technology & Engineering
ISBN : 9781139439503

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Fundamentals of Error-Correcting Codes by W. Cary Huffman,Vera Pless Pdf

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.

CRC Handbook of Combinatorial Designs

Author : Charles J. Colbourn
Publisher : CRC Press
Page : 778 pages
File Size : 52,7 Mb
Release : 2010-12-12
Category : Mathematics
ISBN : 142004995X

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CRC Handbook of Combinatorial Designs by Charles J. Colbourn Pdf

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:

Post-Quantum Cryptography

Author : Nicolas Sendrier
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 47,5 Mb
Release : 2010-05-21
Category : Business & Economics
ISBN : 9783642129285

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Post-Quantum Cryptography by Nicolas Sendrier Pdf

This book constitutes the refereed proceedings of the Third International Workshop on Post-Quantum Cryptography, PQCrypto 2010, held in Darmstadt, Germany, in May 2010. The 16 revised full papers presented were carefully reviewed and selected from 32 submissions. The papers are organized in topical sections on cryptanalysis of multivariate systems, cryptanalysis of code-based systems, design of encryption schemes, and design of signature schemes.

Artificial Intelligence and Security

Author : Xingming Sun,Jinwei Wang,Elisa Bertino
Publisher : Springer Nature
Page : 841 pages
File Size : 50,9 Mb
Release : 2020-08-31
Category : Computers
ISBN : 9783030578817

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Artificial Intelligence and Security by Xingming Sun,Jinwei Wang,Elisa Bertino Pdf

This two-volume set LNCS 12239-12240 constitutes the refereed proceedings of the 6th International Conference on Artificial Intelligence and Security, ICAIS 2020, which was held in Hohhot, China, in July 2020. The conference was formerly called “International Conference on Cloud Computing and Security” with the acronym ICCCS. The total of 142 full papers presented in this two-volume proceedings was carefully reviewed and selected from 1064 submissions. The papers were organized in topical sections as follows: Part I: Artificial intelligence and internet of things. Part II: Internet of things, information security, big data and cloud computing, and information processing.

A Modern Theory of Factorial Design

Author : Rahul Mukerjee,C.F. J. Wu
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 49,8 Mb
Release : 2007-01-15
Category : Mathematics
ISBN : 9780387373447

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A Modern Theory of Factorial Design by Rahul Mukerjee,C.F. J. Wu Pdf

The last twenty years have witnessed a significant growth of interest in optimal factorial designs, under possible model uncertainty, via the minimum aberration and related criteria. This book gives, for the first time in book form, a comprehensive and up-to-date account of this modern theory. Many major classes of designs are covered in the book. While maintaining a high level of mathematical rigor, it also provides extensive design tables for research and practical purposes. Apart from being useful to researchers and practitioners, the book can form the core of a graduate level course in experimental design.