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9096 results in Communications, Signal Processing and Information Theory

Page 64 of 455

  • 4 - Binary Cyclic Codes

  • Shu Lin, University of California, Davis, Juane Li
  • Book:
    Fundamentals of Classical and Modern Error-Correcting Codes
    Published online:
    02 February 2022
    Print publication:
    09 December 2021, pp 125-184

  • Summary

    Cyclic codes form an important subclass of linear block codes. These codes are attractive for two reasons: first, encoding and syndrome computation can be implemented easily by using simple shift-registers with linear feedback connections, namely, linear feedback shift-registers (LFSRs); and second, because they have considerable inherent algebraic structure, it is possible to devise various practical algorithms for decoding them. Cyclic codes have been widely used in communication and storage systems for error control. They are particularly efficient for error detection.

  • 17 - Polar Codes

  • Shu Lin, University of California, Davis, Juane Li
  • Book:
    Fundamentals of Classical and Modern Error-Correcting Codes
    Published online:
    02 February 2022
    Print publication:
    09 December 2021, pp 721-783

  • Summary

    Polar codes, discovered by Arikan [] in 2009, form a class of codes which provably achieve the capacity for a wide range of channels. Construction, encoding, and decoding of these codes are based on the phenomenon of channel polarization. In this chapter, we introduce polar codes from an algebraic point of view.

Page 64 of 455