ALGEBRAIC THEORY OF CODES II,

Abstract

Automorphism groups of some 5-designs are determined. The weights in the extended quadratic residue code of length 48 over GF(3), and associated 5-design parameters, are found. The graph arising from another ternary code is analyzed. Connections between decoding and penny-weighing are described, and two decoding methods are set down. Miscellaneous results on covering radii, on a small code with a large automorphism group, on k-th order Steiner systems, and on optimal codes are included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1969
Accession Number
AD0698813

Entities

People

  • E. F. Assmus Jr.
  • H. F. Mattson Jr.

Organizations

  • Sylvania Electric Products

Tags

DTIC Thesaurus Topics

  • Coding
  • Coverings
  • Decoding
  • Message Decoding
  • Notation

Fields of Study

  • Mathematics

Readers

  • Computer Programming and Software Development.
  • Graph Algorithms and Convex Optimization.