Nonexistence of nontrivial perfect codes in case q = pr1p12,e ⩾ 3

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Abstract

It is proved that there are no nontrivial perfect (e,n,q)-codesif e⩾3 and q = pr1 p12 where p1 and p2 are distinct primes and r and s are positive integers.

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The research of the author was supported in part by a grant from the British Science Research Council.