SOME TERNARY ERROR CORRECTING CODES AND FRACTIONALLY REPLICATED DESIGNS

Abstract

The connection between the theory of error correcting codes and the theory of fractionally replicated designs is pointed out. It is shown that the packing problem plays a fundamental role in both theornumber of distinct points in the finite projective space PG(r-1, p), where p is a prime or a prime power, so that no d of the points are dependent. Here we find a configuration of 12 points in PG(5, 3) so that no 6 are dependent. Ternary error correcting codes and some fractional factorial designs (with or without blocking) are de uced. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0260712

Entities

People

  • R.c. Bose

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Factorial Design

Fields of Study

  • Mathematics

Readers

  • Breast cancer cell signaling and growth regulation.
  • Computer Programming and Software Development.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space