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On the Symmetry Group of Perfect 1-Error Correcting Binary Codes

Olof Heden1
1 Department of Mathematics, KTH, S-100 44 Stockholm, Sweden.

Abstract

It is shown that for any rank r with nlog(n+1)+4rn4 and any length n, where n=2k1 and k8, there is a perfect code with these parameters and with a trivial group of symmetries.