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On the non-existence of perfect double hamming-error-correcting codes on q = 8 and q = 9 symbols

✍ Scribed by Ronald Alter

Book ID
114036713
Publisher
Elsevier Science
Year
1968
Weight
338 KB
Volume
13
Category
Article
ISSN
0019-9958

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πŸ“œ SIMILAR VOLUMES

On the nonexistence of close-packed doub
On the nonexistence of close-packed double Hamming-error-correcting codes on q=7 symbols
✍ Ronald Alter πŸ“‚ Article πŸ“… 1968 πŸ› Elsevier Science 🌐 English βš– 297 KB

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.