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On the extendability of code isometries
Authors:Faina I. Solov'eva  Thomas Honold  Sergei V. Avgustinovich  Werner Heise
Affiliation:(1) Sobolev Institute of Mathematics, Universitetsky prospekt 4, Novosibirsk-90, 630090, Russia;(2) Zentrum Mathematik, Technische Universität München, D-80290 München, Germany
Abstract:A block codeC
$$ subseteq$$
Fn is calledmetrically rigid, if every isometryphgr: CrarrFn with respect to theHamming metric is extendable to an isometry of the whole spaceFn. The metrical rigidity of some classes of codes is discussed.Dedicated to Helmut Karzel on the occasion of his 70th birthdayResearch supported by the Russian Foundation of Fundamental Research (Grant no. 97-01-01104)Research supported by the Russian Foundation of Fundamental Research (Grants no. 96-01-01800, 97-01-01075)
Keywords:
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