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Mathematical Theory and Applications of Error Correcting Codes [electronic resource].

By: Material type: TextTextPublication details: Ashland : Arcler Press, 2020.Description: 1 online resource (560 p.)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781774079690
  • 1774079690
Subject(s): Genre/Form: Additional physical formats: Print version:: Mathematical Theory and Applications of Error Correcting CodesDDC classification:
  • 003/.54 23
LOC classification:
  • QA268
Online resources:
Contents:
Cover -- Title Page -- Copyright -- DECLARATION -- ABOUT THE EDITOR -- TABLE OF CONTENTS -- List of Contributors -- List of Abbreviations -- Preface -- Section 1 Introduction to Error-Correcting Codes -- Chapter 1 Error-correcting Codes and Neural Networks -- Abstract -- Introduction And Summary -- Codes And Good Codes -- Neural Encodings Of Stimulus Spaces -- Acknowledgements -- References -- Section 2 Hard and Soft Decision Decoding -- Chapter 2 Sum of the Magnitude for Hard Decision Decoding Algorithm Based on Loop Update Detection -- Abstract -- Introduction -- Basic Definitions
Algorithm Description -- Complexity Analysis -- Simulation Results and Statistical Analysis -- Conclusions -- Acknowledgments -- Conflicts Of Interest -- References -- Chapter 3 Soft-Decision Low-Complexity Chase Decoders for the RS (255,239) Code -- Abstract -- Introduction -- Rs Decoders -- Low-Complexity Chase Decoder -- Decoder Architecture -- Implementation Results -- Conclusions -- References -- Chapter 4 Low-energy Error Correction of NAND Flash Memory through Soft-decision Decoding -- Abstract -- Introduction -- Energy Consumption Of Multi-Bit Data Read In Nand Flash Memory
Soft-Decision Error Correcting Performance In Nand Flash Memory -- Hardware Performance Of (68254, 65536) Ldpc Decoder -- Low-Energy Error Correction Scheme For Nand Flash Memory -- Concluding Remarks -- Acknowledgements -- References -- Chapter 5 Performance of Soft Viterbi Decoder enhanced with Non-Transmittable Codewords for Storage Media -- Abstract -- Public Interest Statement -- Introduction -- Binary Convolutional Encoding And Decoding -- Enhanced Soft Viterbi Algorithm -- Developed Model -- Result And Discussion -- Conclusion -- Funding -- References
Section 3 Linear Codes: Cyclic and Constacyclic Codes -- Chapter 6 The Structure of One Weight Linear and Cyclic Codes Over Zr2 x (Z2 + uZ2)S -- Abstract -- Introduction -- Preliminaries -- The Structure of One Weight Z2Z2[u]-Linear Codes -- One Weight Z2Z2[u]-Cyclic Codes -- Examples Of One Weight Z2Z2[u]-Cyclic Codes -- Conclusion -- Acknowledgement -- References -- Chapter 7 (1 + u)-Constacyclic Codes over Z 4 + uZ 4 -- Abstract -- Background -- (1 + U)-Constacyclic Codes Over Z4 + UZ 4 -- Gray Images Of (1 + U)-Constacyclic Codes Over R -- Conclusion -- Acknowledgements -- Competing Interests
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Description based upon print version of record.

Cover -- Title Page -- Copyright -- DECLARATION -- ABOUT THE EDITOR -- TABLE OF CONTENTS -- List of Contributors -- List of Abbreviations -- Preface -- Section 1 Introduction to Error-Correcting Codes -- Chapter 1 Error-correcting Codes and Neural Networks -- Abstract -- Introduction And Summary -- Codes And Good Codes -- Neural Encodings Of Stimulus Spaces -- Acknowledgements -- References -- Section 2 Hard and Soft Decision Decoding -- Chapter 2 Sum of the Magnitude for Hard Decision Decoding Algorithm Based on Loop Update Detection -- Abstract -- Introduction -- Basic Definitions

Algorithm Description -- Complexity Analysis -- Simulation Results and Statistical Analysis -- Conclusions -- Acknowledgments -- Conflicts Of Interest -- References -- Chapter 3 Soft-Decision Low-Complexity Chase Decoders for the RS (255,239) Code -- Abstract -- Introduction -- Rs Decoders -- Low-Complexity Chase Decoder -- Decoder Architecture -- Implementation Results -- Conclusions -- References -- Chapter 4 Low-energy Error Correction of NAND Flash Memory through Soft-decision Decoding -- Abstract -- Introduction -- Energy Consumption Of Multi-Bit Data Read In Nand Flash Memory

Soft-Decision Error Correcting Performance In Nand Flash Memory -- Hardware Performance Of (68254, 65536) Ldpc Decoder -- Low-Energy Error Correction Scheme For Nand Flash Memory -- Concluding Remarks -- Acknowledgements -- References -- Chapter 5 Performance of Soft Viterbi Decoder enhanced with Non-Transmittable Codewords for Storage Media -- Abstract -- Public Interest Statement -- Introduction -- Binary Convolutional Encoding And Decoding -- Enhanced Soft Viterbi Algorithm -- Developed Model -- Result And Discussion -- Conclusion -- Funding -- References

Section 3 Linear Codes: Cyclic and Constacyclic Codes -- Chapter 6 The Structure of One Weight Linear and Cyclic Codes Over Zr2 x (Z2 + uZ2)S -- Abstract -- Introduction -- Preliminaries -- The Structure of One Weight Z2Z2[u]-Linear Codes -- One Weight Z2Z2[u]-Cyclic Codes -- Examples Of One Weight Z2Z2[u]-Cyclic Codes -- Conclusion -- Acknowledgement -- References -- Chapter 7 (1 + u)-Constacyclic Codes over Z 4 + uZ 4 -- Abstract -- Background -- (1 + U)-Constacyclic Codes Over Z4 + UZ 4 -- Gray Images Of (1 + U)-Constacyclic Codes Over R -- Conclusion -- Acknowledgements -- Competing Interests

References -- Section 4 Introduction to Error-Correcting Codes -- Chapter 8 Projection Decoding of Some Binary Optimal Linear Codes of Lengths 36 and 40 -- Abstract -- Introduction -- Projection of Binary Linear Codes -- Construction of Binary Optimal [36, 19, 8] And [40, 22, 8] Codes -- Projection Decoding -- Examples -- Conclusions -- Funding -- Conflicts of Interest -- References -- Chapter 9 Reed-Solomon Turbo Product Codes for Optical Communications: From Code Optimization to Decoder Design -- Abstract -- Introduction -- Reed-Solomon Product Codes -- Turbo Decoding of RS Product Codes.

RS Product Code Design For Optical Communications.

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