ON THE NON-EXISTENCE OF CLOSE-PACKED DOUBLE ERROR CORRECTING CODES ON Q=9 SYMBOLS,
Abstract
This work is a continuation of earlier papers by the author where similar results are achieved for the values q = 7 and 8. By generalizing and extending the techniques developed in the two earlier works the diaphantine equation y squared = 2(9 to the kth power) + 7 is shown to have no solution in integers for k > 2. Since this is a necessary condition for the existence of close-packed double error correcting codes on q = 9 symbols, there exist no such codes. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 11, 1968
- Accession Number
- AD0672785
Entities
People
- Ronald Alter
Organizations
- System Development Corporation