Punctured extended 1-perfect Z_4-linear codes

J.Borges, C.Fernández

Abstract. Let C be a 1-perfect additive code. The extended code C* is an extended 1-perfect Z_4-linear or additive non Z_4-linear code.
If C* is the extended 1-perfect additive non Z_4-linear code of C and we puncture a binary coordinate, then (C*)' is isomorphic to C.
The aim of this paper is to prove that a punctured extended Z_4-linear code is not a 1-perfect additive code up to the extended Hamming code of length 16.

Key words: Perfect codes, extended codes, quaternary codes, additive codes, $Z_4$-linear codes.

Registration: PIRDI-3/02, November 2002.

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Copyright © 2002 by Computer Science Department. UAB