CUMULATIVE CODES AS VARIABLE REDUNDANCY CODES.

Abstract

A cumulative decision feedback system is considered whereby the digits are decoded on the basis of all the digits in all of the repeated blocks. If an (n,k) binary group code is repeated (N-l) times, the resultant digits are considered as nN-tuples derived from an (nN,k) code. The parity check matrix, minimum distance and generator polynomial (for cyclic codes) are determinedfor the (Nn,k) codes in terms of the respective quantities for the (n,k) code. A method for partitioning the error detection and correction capabilities of the (Nn,k) code is suggested on the basis of a constant failsafe probability criterion. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0600009

Entities

People

  • Jack Keil Wolf

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Detection
  • Feedback
  • Generators
  • Polynomials
  • Probability
  • Redundancy

Readers

  • Approximation Theory.
  • Computer Programming and Software Development.