ON THE NON-EXISTENCE OF CLOSE-PACKED DOUBLE ERROR-CORRECTING CODES ON Q=7 SYMBOLS.

Abstract

The diophantine equation 2y squared=((7 raised to the kth power)+1) is shown to have no solutions in integers for k > 2. Since this is a necessary condition for the existence of close-packed double error-correcting codes on q = 7 symbols, there exist no such codes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 06, 1968
Accession Number
AD0666339

Entities

People

  • Ronald Alter

Organizations

  • System Development Corporation

Tags

DTIC Thesaurus Topics

  • Equations

Readers

  • Calculus or Mathematical Analysis
  • Computer Programming and Software Development.
  • Mathematical Modeling and Probability Theory.