Show that a code over zq is capable of correcting

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Reference no: EM133370682

Question: Let X and Y be vectors of length n over Zq. Define the max-distance, Dmax(X, Y ) between these two vectors as max{|xi -yi|} over all i. For example suppose X = (4, 0, 5, 3) and Y = (0, 3, 2, 4). Then, Dmax(X, Y ) = 4.

Show that a code over Zq is capable of correcting all ASYMMETRIC errors of limited magnitude l if and only if the minimum Dmax distance of the code is l + 1.

Reference no: EM133370682

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