Algebraic Theory of Codes 2

Abstract

The resultant is applied to the problem of weights in cyclic codes. The binary code arising from the projective plane of order 10 (if it exists) is examined. T-design decoding is discussed in general, and the special case of the (48, 24) binary extended quadratic residue code is worked out in detail. The (60,30) ternary extended quadratic residue code is proved to yield new 5- designs. Miscellaneous results include study of the question whether Steiner triple systems support linear codes.

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Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1970
Accession Number
AD0718114

Entities

People

  • Edward F. Assmus Jr.
  • Harold F. Mattson Jr.

Organizations

  • Sylvania Electric Products

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algorithms
  • Coding
  • Coefficients
  • Computer Programming
  • Computers
  • Contracts
  • Coverings
  • Data Science
  • Decoding
  • Equations
  • Massachusetts
  • Notation
  • Symbols
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

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