On the Automorphism Groups of the Z2Z4-Linear 1-Perfect and Preparata-Like Codes

Denis Krotov

doi:10.1007/s10623-016-0218-3

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arXiv · 1602.00036

On the Automorphism Groups of the Z2Z4-Linear 1-Perfect and Preparata-Like Codes

Denis Krotov

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Abstract

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. Keywords: additive codes, $Z_2Z_4$-linear codes, $1$-perfect codes, Preparata-like codes, automorphism group, symmetry group.

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BibTeX RIS

Denis Krotov. 2016-01-29. On the Automorphism Groups of the Z2Z4-Linear 1-Perfect and Preparata-Like Codes. https://doi.org/10.1007/s10623-016-0218-3

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