Decoding of Cyclic Codes,

Abstract

The report is a Russian translation devoted to methods of construction and decoding of cyclic correction codes. The properties of linear cyclic codes are considered in detail and new results on construction and analysis of the properties of such codes are presented. Basic methods of decoding, using the algebraic properties of codes, are outlined as follows: A method based on use of linear multistage filters and a selector; A method based on the properties of symmetry of linear codes; A method of direct and step decoding for Bose-Chaudhuri-Hockquenghem codes. Majority decoding, which has a very simple technical realization, is considered in detail. Corresponding codes and decoding schemes based on the apparatus of finite projective geometries are described. The book is intended for scientific researchers, engineers and students, working in the field of digital data transmission through noisy communications channels, as well as mathematicians who are interested in the use of algebraic methods.

Document Details

Document Type
Technical Report
Publication Date
Jul 09, 1973
Accession Number
AD0765934

Entities

People

  • E. T. Mironchikov
  • V. D. Kolesnik

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Coding
  • Construction
  • Data Transmission
  • Decoding
  • Digital Data
  • Engineers
  • Geometry
  • Notation
  • Projective Geometry
  • Symmetry
  • Translations

Fields of Study

  • Engineering

Readers

  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.