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Format: 1 online resource (527 pages)

ISBN: 9783319511030

Series Statement: Signals and Communication Technology Ser.

Note: Intro -- Preface -- Acknowledgements -- Contents -- Acronyms -- Part I Theoretical Performance of Error-Correcting Codes -- 1 Bounds on Error-Correction Coding Performance -- 1.1 Gallager's Coding Theorem -- 1.1.1 Linear Codes with a Binomial Weight Distribution -- 1.1.2 Covering Radius of Codes -- 1.1.3 Usefulness of Bounds -- 1.2 Bounds on the Construction of Error-Correcting Codes -- 1.2.1 Upper Bounds -- 1.2.2 Lower Bounds -- 1.2.3 Lower Bounds from Code Tables -- 1.3 Summary -- References -- 2 Soft and Hard Decision Decoding Performance -- 2.1 Introduction -- 2.2 Hard Decision Performance -- 2.2.1 Complete and Bounded Distance Decoding -- 2.2.2 The Performance of Codes on the Binary Symmetric Channel -- 2.3 Soft Decision Performance -- 2.3.1 Performance Assuming a Binomial Weight Distribution -- 2.3.2 Performance of Self-dual Codes -- 2.4 Summary -- References -- 3 Soft Decision and Quantised Soft Decision Decoding -- 3.1 Introduction -- 3.2 Soft Decision Bounds -- 3.3 Examples -- 3.4 A Hard Decision Dorsch Decoder and BCH Codes -- 3.5 Summary -- References -- Part II Code Construction -- 4 Cyclotomic Cosets, the Mattson--Solomon Polynomial, Idempotents and Cyclic Codes -- 4.1 Introduction -- 4.2 Cyclotomic Cosets -- 4.3 The Mattson--Solomon Polynomial -- 4.4 Binary Cyclic Codes Derived from Idempotents -- 4.4.1 Non-Primitive Cyclic Codes Derived from Idempotents -- 4.5 Binary Cyclic Codes of Odd Lengths from 129 to 189 -- 4.6 Summary -- References -- 5 Good Binary Linear Codes -- 5.1 Introduction -- 5.2 Algorithms to Compute the Minimum Hamming Distance of Binary Linear Codes -- 5.2.1 The First Approach to Minimum Distance Evaluation -- 5.2.2 Brouwer's Algorithm for Linear Codes -- 5.2.3 Zimmermann's Algorithm for Linear Codes and Some Improvements -- 5.2.4 Chen's Algorithm for Cyclic Codes -- 5.2.5 Codeword Enumeration Algorithm. , 5.3 Binary Cyclic Codes of Lengths 129 len le 189 -- 5.4 Some New Binary Cyclic Codes Having Large Minimum Distance -- 5.5 Constructing New Codes from Existing Ones -- 5.5.1 New Binary Codes from Cyclic Codes of Length 151 -- 5.5.2 New Binary Codes from Cyclic Codes of Length ge 199 -- 5.6 Concluding Observations on Producing New Binary Codes -- 5.7 Summary -- References -- 6 Lagrange Codes -- 6.1 Introduction -- 6.2 Lagrange Interpolation -- 6.3 Lagrange Error-Correcting Codes -- 6.4 Error-Correcting Codes Derived from the Lagrange Coefficients -- 6.5 Goppa Codes -- 6.6 BCH Codes as Goppa Codes -- 6.7 Extended BCH Codes as Goppa Codes -- 6.8 Binary Codes from MDS Codes -- 6.9 Summary -- References -- 7 Reed--Solomon Codes and Binary Transmission -- 7.1 Introduction -- 7.2 Reed--Solomon Codes Used with Binary Transmission-Hard Decisions -- 7.3 Reed--Solomon Codes and Binary Transmission Using Soft Decisions -- 7.4 Summary -- References -- 8 Algebraic Geometry Codes -- 8.1 Introduction -- 8.2 Motivation for Studying AG Codes -- 8.2.1 Bounds Relevant to Algebraic Geometry Codes -- 8.3 Curves and Planes -- 8.3.1 Important Theorems and Concepts -- 8.3.2 Construction of AG Codes -- 8.4 Generalised AG Codes -- 8.4.1 Concept of Places of Higher Degree -- 8.4.2 Generalised Construction -- 8.5 Summary -- References -- 9 Algebraic Quasi Cyclic Codes -- 9.1 Introduction -- 9.2 Background and Notation -- 9.2.1 Description of Double-Circulant Codes -- 9.3 Good Double-Circulant Codes -- 9.3.1 Circulants Based Upon Prime Numbers Congruent to pm3 Modulo 8 -- 9.3.2 Circulants Based Upon Prime Numbers Congruent to +1 mod 8, or -1 mod 8: Cyclic Codes -- 9.4 Code Construction -- 9.4.1 Double-Circulant Codes from Extended Quadratic Residue Codes -- 9.4.2 Pure Double-Circulant Codes for Primes +3 mod 8, or -3 mod 8 -- 9.4.3 Quadratic Double-Circulant Codes. , 9.5 Evaluation of the Number of Codewords of Given Weight -- 9.6 Weight Distributions -- 9.6.1 The Number of Codewords of a Given Weight in Quadratic Double-Circulant Codes -- 9.6.2 The Number of Codewords of a Given Weight in Extended Quadratic Residue Codes -- 9.7 Minimum Distance Evaluation: A Probabilistic Approach -- 9.8 Conclusions -- 9.9 Summary -- References -- 10 Historical Convolutional Codes as Tail-Biting Block Codes -- 10.1 Introduction -- 10.2 Convolutional Codes and Circulant Block Codes -- 10.3 Summary -- References -- 11 Analogue BCH Codes and Direct Reduced Echelon Parity Check Matrix Construction -- 11.1 Introduction -- 11.2 Analogue BCH Codes and DFT Codes -- 11.3 Error-Correction of Bandlimited Data -- 11.4 Analogue BCH Codes Based on Arbitrary Field Elements -- 11.5 Examples -- 11.5.1 Example of Simple (5,3,3) Analogue Code -- 11.5.2 Example of Erasures Correction Using (15,10,4) Binary BCH code -- 11.5.3 Example of (128, 112, 17) Analogue BCH Code and Error-Correction of Audio Data (Music) Subjected to Impulsive Noise -- 11.6 Conclusions and Future Research -- 11.7 Summary -- References -- 12 LDPC Codes -- 12.1 Background and Notation -- 12.1.1 Random Constructions -- 12.1.2 Algebraic Constructions -- 12.1.3 Non-binary Constructions -- 12.2 Algebraic LDPC Codes -- 12.2.1 Mattson--Solomon Domain Construction of Binary Cyclic LDPC Codes -- 12.2.2 Non-Binary Extension of the Cyclotomic Coset-Based LDPC Codes -- 12.3 Irregular LDPC Codes from Progressive Edge-Growth Construction -- 12.4 Quasi-cyclic LDPC Codes and Protographs -- 12.4.1 Quasi-cyclic LDPC Codes -- 12.4.2 Construction of Quasi-cyclic Codes Using a Protograph -- 12.5 Summary -- References -- Part III Analysis and Decoders -- 13 An Exhaustive Tree Search for Stopping Sets of LDPC Codes -- 13.1 Introduction and Preliminaries. , 13.2 An Efficient Tree Search Algorithm -- 13.2.1 An Efficient Lower Bound -- 13.2.2 Best Next Coordinate Position Selection -- 13.3 Results -- 13.3.1 WiMax LDPC Codes -- 13.4 Conclusions -- 13.5 Summary -- References -- 14 Erasures and Error-Correcting Codes -- 14.1 Introduction -- 14.2 Derivation of the PDF of Correctable Erasures -- 14.2.1 Background and Definitions -- 14.2.2 The Correspondence Between Uncorrectable Erasure Patterns and Low-Weight Codewords -- 14.3 Probability of Decoder Error -- 14.4 Codes Whose Weight Enumerator Coefficients Are Approximately Binomial -- 14.5 MDS Shortfall for Examples of Algebraic, LDPC and Turbo Codes -- 14.5.1 Turbo Codes with Dithered Relative Prime (DRP) Interleavers -- 14.5.2 Effects of Weight Spectral Components -- 14.6 Determination of the dmin of Any Linear Code -- 14.7 Summary -- References -- 15 The Modified Dorsch Decoder -- 15.1 Introduction -- 15.2 The Incremental Correlation Dorsch Decoder -- 15.3 Number of Codewords that Need to Be Evaluated to Achieve -- 15.4 Results for Some Powerful Binary Codes -- 15.4.1 The (136, 68, 24) Double-Circulant Code -- 15.4.2 The (255, 175, 17) Euclidean Geometry (EG) Code -- 15.4.3 The (513, 467, 12) Extended Binary Goppa Code -- 15.4.4 The (1023, 983, 9) BCH Code -- 15.5 Extension to Non-binary Codes -- 15.5.1 Results for the (63, 36, 13) GF(4) BCH Code -- 15.6 Conclusions -- 15.7 Summary -- References -- 16 A Concatenated Error-Correction System Using the 69640972 u69640972 u+v69640972 Code Construction -- 16.1 Introduction -- 16.2 Description of the System -- 16.3 Concatenated Coding and Modulation Formats -- 16.4 Summary -- References -- Part IV Applications -- 17 Combined Error Detection and Error-Correction -- 17.1 Analysis of Undetected Error Probability -- 17.2 Incremental-Redundancy Coding System -- 17.2.1 Description of the System -- 17.3 Summary. , References -- 18 Password Correction and Confidential Information Access System -- 18.1 Introduction and Background -- 18.2 Details of the Password System -- 18.3 Summary -- References -- 19 Variations on the McEliece Public Key Cryptoystem -- 19.1 Introduction and Background -- 19.1.1 Outline of Different Variations of the Encryption System -- 19.2 Details of the Encryption System -- 19.3 Reducing the Public Key Size -- 19.4 Reducing the Cryptogram Length Without Loss of Security -- 19.5 Security of the Cryptosystem -- 19.5.1 Probability of a k timesk Random Matrix Being Full Rank -- 19.5.2 Practical Attack Algorithms -- 19.6 Applications -- 19.7 Summary -- References -- 20 Error-Correcting Codes and Dirty Paper Coding -- 20.1 Introduction and Background -- 20.2 Description of the System -- 20.3 Summary -- References -- Index.

Additional Edition: Print version: Tomlinson, Martin Error-Correction Coding and Decoding Cham : Springer International Publishing AG,c2017 ISBN 9783319511023

Language: English

Subjects: Mathematics

Keywords: Electronic books. ; Electronic book. ; Electronic books. ; Electronic books.

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Format: 108 pages , illustrations , 21 cm

Edition: 2. Auflage

ISBN: 9783928984393 , 392898439X

Series Statement: Jung-Stilling-Schriften Band 4

Uniform Title: Works. Selections

Note: First work originally published in: Bemerkungen der Kuhrpfälzische Physikalisch-Ökonomische Gesellschaft, 8. Nov. 1779. Mannheim : Verlag der Ökonomischen Gesellschaft, 1780, under the title: Von dem Nassau-Siegenschen Eisen- und Stahlgewerbe in dem Herzogthume Berg; 2nd work originally published in: Staatswirthschaftliche Ideen. Marburg : Akademischen Buchhandlung, 1798, under the title: "Sind die Maschinen, welche bey Fabricken die arbeitenden Hände ersparen, nützlich oder schädlich?" , Siegerländer Eisen im Herzogtum Berg -- Ersetzung von Handarbeit durch Maschinen

Language: German

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Format: xix, 378 pages : , illustrations (black and white) ; , 24.5 cm.

Edition: 1st edition.

ISBN: 9781474241809 (pbk.) , 1474241808 (pbk.) , 9781474241793 (hbk.) , 1474241794 (hbk.)

Content: MACHINE-GENERATED SUMMARY NOTE: "Design Roots provides a comprehensive review of culturally significant designs, products and practices which are rooted to particular communities through making tradition and a sense of place. Many rich traditional practices associated with community, tacit knowledge and culture are being rapidly lost due to globalisation and urbanisation. Yet they have much to offer for the future in terms of sustainability, identity, wellbeing and new opportunities in design. This book considers the creative roots, the place-based ecologies, and deep understandings of cultural significance, not only in terms of history and tradition but also in terms of locale, social interactions, innovation, and change for the sustainment of culturally significant material productions. Importantly, these are not locked in time by sentimentality and nostalgia but are evolving, innovative, and adaptive to new technologies and changing circumstances. Contributing authors explore the historical roots of culturally significant designs, products and practices, emerging directions, amateur endeavours, enterprise models, business opportunities and the changing role and contribution of design in the creation of material cultures of significance, meaning and value. An international perspective is provided through case studies and research from North and South America, Africa, Europe, Asia and Australasia, with examples including Aran jumper production in Northern Ireland, weaving in Thailand, Iranian housing design, Brazilian street design and digital crafting in the United Kingdom." --

Note: MACHINE-GENERATED CONTENTS NOTE: Editorial Introduction Stuart Walker - Lancaster University, UK PART I INTRODUCTION: CULTURALLY SIGNIFICANT DESIGNS, PRODUCTS AND PRACTICES Martyn Evans - Manchester Metropolitan University, UK Chapter 1: Creative Ecologies: Contextualising Culturally Significant Designs, Products and Practices Jeyon Jung and Stuart Walker - Lancaster University, UK Chapter 2: Forging New Futures: Cultural Significance, Revitalisation and Authenticity Amy Twigger Holroyd - Nottingham Trent University, UK Chapter 3: Culturally Significant Artefacts and Their Relationship to Tradition and Sustainability Stuart Walker - Lancaster University, UK Chapter 4: Making and its Cultural Ecological Foundations Patrick Dillon - University of Exeter, UK PART II INTRODUCTION: AUTHENTICITY AND TRADITION IN MATERIAL CULTURE Amy Twigger Holroyd - Nottingham Trent University, UK Chapter 5: The Aran Jumper Siun Carden - University of the Highlands and Islands, UK Chapter 6: Chok Weaving and Textile Enterprises from Northern Thailand Disaya Chudasri - Lancaster University, UK Chapter 7: Oltu-Stone Prayer Beads: A Journey into the Art of Carving Tasbih Hazal Gumus Ciftci - Lancaster University, UK Chapter 8: The Mian Sara: Traditional Iranian Homes and Sustainability Poone Yazdanpanah and Stuart Walker - Lancaster University, UK Chapter 9: IKEA: Mass-produced National Design Identity Sara S. Kristoffersson - Konstfack University College, Sweden PART III INTRODUCTION: REVITALISATION BY DESIGN Tom Cassidy - University of Leeds, UK Chapter 10: Culture as a Resource for a Sustainable Future in Indigenous Communities: Strengthening Atikamekw Identity and Economics through Design Anne Marchand, Karine Awashish, Christian Coocoo, Solen Roth, Renata Marques Leitao, Cedric Sportes and Caoimhe Isha Beaule - University of Montreal, Canada Chapter 11: Transforming Tradition in Indonesia: A Method for Maintaining Tradition in a Craft and Design Context Adhi Nugraha - Aalto University, Finland Chapter 12: New Translations of South Korean Patterns Meong Jin Shin - University of Leeds, UK Chapter 13: Revitalisation by Design Sebastian Cox - Sebastian Cox Ltd, UK Chapter 14: New Caribbean Design: Revitalising Place-based Products Patty Johnson - Patty Johnson Design, Canada PART IV INTRODUCTION: ENTERPRISE, POLICY AND EDUCATION FOR POSITIVE DEVELOPMENT Jeyon Jung - Lancaster University, UK Chapter 15: Sustaining Culturally Significant Designs, Products and Practices: Lessons from the Hohokam Jacques Giard - Arizona State University, USA Chapter 16: Accidents, Intentions, Movements and Makers: Artisan Economy in Portland, Oregon, USA Steven Marotta, Austin Cummins and Charles Heying, Portland State University, USA Chapter 17: The Role of Higher Education in Sustaining Culturally Significant Crafts in Estonia Sirpa Kokko - University of Helsinki, Finland Chapter 18: The Challenge of Intellectual Property Rights for Culturally Significant Patterns, Products and Processes Tom Cassidy and Tracy Diane Cassidy - University of Leeds, UK Chapter 19: The Case of the City Different: The Intersection of the Museum, the Artist and the Marketplace Marsha C. Bol - Carnegie Museum of Natural History, USA PART V INTRODUCTION: DESIGN FUTURES Stuart Walker and Martyn Evans - Lancaster University, UK and Manchester Metropolitan University, UK Chapter 20: Research Approaches for Culturally Significant Design Tom Cassidy - University of Leeds, UK Chapter 21: Digital Transformations, Amateur Making and the Revitalisation of Traditional Textile Crafts Amy Twigger Holroyd - Nottingham Trent University, UK Chapter 22: Design for Social Innovators Anna Meroni and Daniela Selloni - Politechnico di Milano, Italy Chapter 23: Integrated Scales of Design and Production for Sustainability with a Focus on Graduate Design Work in Lighting Cagla Dogan - Middle Eastern Technical University, Turkey Chapter 24: Designing Authentic Brands: How Designerly Approaches can Craft Authentic Brand Identity Emma Murphy - Glasgow School of Art, UK Chapter 25: Strategies for Revitalisation of Culturally Significant Designs, Products and Practices Martyn Evans, Amy Twigger Holroyd, Stuart Walker, Tom Cassidy and Jeyon Jung - Manchester Metropolitan University, UK, Nottingham Trent University, UK, Lancaster University, UK and University of Leeds, UK Endmatter Index

Language: English

Keywords: Case studies ; Edited volumes