An Algebraic Syndrome Decoding Technique for Certain Convolutional Codes

Abstract

In this final report, some of the same machinery developed in an earlier report for syndrome decoding is shown to provide a basis for what is called algebraic syndrome decoding of convolutional codes. Actually, algebraic syndrome decoders were developed quite early in a heuristic manner for certain simple convolutional codes. In particular, syndrome decoders in the form of feed-back decoders were developed for the one error-correcting Wyner-Ash convolutional code. However, the generalization to algebraically constructed syndrome decoders other than feed-back and majority-logic decoders seems to have been largely ignored. In order to demonstrate the general nature of algebraic syndrome decoding, some definitions and terminology are now in order.

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Document Details

Document Type
Technical Report
Publication Date
Oct 25, 1985
Accession Number
ADA162636

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  • I. S. Reed

Tags

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  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Algorithms
  • Coders
  • Coding
  • Coefficients
  • Convolution
  • Decoders
  • Decoding
  • Equations
  • Identities
  • Military Research
  • Polynomials
  • Sequences
  • Symbols
  • Vector Spaces

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  • Computer Programming and Software Development.
  • Systems Analysis and Design