We consider the symmetry group of a \(Z_2Z_4\)-linear code with parameters of a 1-perfect, extended 1-perfect, or Preparata-like code. We show that, provided the code length is greater than 16, this group consists only of symmetries that preserve the \(Z_2Z_4\) structure. We find the orders of the symmetry groups of the \(Z_2Z_4\)-linear (extended) 1-perfect codes.
['Denis S. Krotov']
On the Automorphism Groups of the Z2Z4-Linear 1-Perfect and Preparata-Like Codes