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A note on perfect double error-correcting codes on q symbols

โœ Scribed by Edward L. Cohen

Book ID
114036487
Publisher
Elsevier Science
Year
1964
Weight
155 KB
Volume
7
Category
Article
ISSN
0019-9958

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๐Ÿ“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
โœ Ronald Alter ๐Ÿ“‚ Article ๐Ÿ“… 1968 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.