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:• '''Locality.''' After the erasure of the single component, the evaluation at <math>a_i \in A_i</math>, where <math>|A_i|=r+1</math>, is unknown, but the evaluations for all other <math>a \in A_i</math> are known, so at most <math>r</math> evaluations are needed to uniquely determine the erased component, which gives us the locality of <math>r</math>.
: To see this, <math>g</math> restricted to <math>A_j</math> can be described by a [[polynomial]] <math>h</math> of [[Degree of a polynomial|degree]] at most <math>\deg
=== Example of Tamo–Barg construction ===
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