On the nonexistence of close-packed doub
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Ronald Alter
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Article
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1968
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Elsevier Science
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English
β 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.