✦ LIBER ✦
On the nonexistence of close-packed double Hamming-error-correcting codes on q=7 symbols
✍ Scribed by Ronald Alter
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 297 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
✦ Synopsis
The diophantine equation 2y t = 7 k + 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 Hamming-error-correcting codes on q = 7 symbols, there exist no such codes.