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For linear codes, the MacWilliams Extension Theorem states that each linearisometry of a linear code extends to a linear isometry of the whole space. But,in general, it is not the situation for nonlinear codes. In this paper it isproved, that if the length of an additive code is less than some thresholdvalue, then an analogue of the MacWilliams Extension Theorem holds. One familyof unextendible code isometries for the threshold value of code length isdescribed.

On extendibility of additive code isometries