A NEW METHOD FOR CONSTRUCTING MULTIPLE ERROR CORRECTING LINEAR RESIDUE CODES,

Abstract

Linear residue codes are useful in a number of applications due to their ease of implementation. For error control in data transmission they do not require special equipment; and encoding and decoding operations can easily be carried out in digital computers. They are also useful for checking arithmetic operations in a computer. An iterative procedure is used to construct linear residue codes for the correction and detection of multiple random errors. This procedure and number -theoretic concepts are used to develop a theory for a class of multiple error correcting codes which have the property that the number of code words is a prime number. Applications to the practical coding problem are also discussed and examples given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0627974

Entities

People

  • John T. Barrows Jr.

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Arithmetic
  • Coding
  • Computer Programming
  • Computers
  • Computing-Related Activities
  • Data Transmission
  • Decoding
  • Detection
  • Digital Computers
  • Message Decoding
  • Message Processing
  • Notation
  • Numbers
  • Prime Numbers
  • Software Development

Fields of Study

  • Mathematics

Readers

  • Computer Programming and Software Development.