On Perfect Error-Correcting Codes.
Some theoretical results concerning the existence of perfect, or close-packed, error-correcting codes. These codes are studied in connection with the maximum rate of error-free information transmission through a communications channel. The Memorandum develops conditions which show, for example, that there are no perfect codes, other than the trivial majority-rule ones, for correcting odd numbers of errors from 5 to 29. 24 pp.