Question: Let X and Y be two binary vectors and let N(X,Y) be the number of 10 crossovers from X to Y. Define the asymmetric distance

Let X and Y be two binary vectors and let N(X,Y) be the number of 10 crossovers from X to Y. Define the asymmetric distance between X and Y as DA(X,Y) = max{N(X,Y), N(Y, X)}. Show that a code is capable of correcting t asymmetric errors if and only if the minimum asymmetric distance of the code is t+1. Let X and Y be two binary vectors and let N(X,Y) be the number of 10 crossovers from X to Y. Define the asymmetric distance between X and Y as DA(X,Y) = max{N(X,Y), N(Y, X)}. Show that a code is capable of correcting t asymmetric errors if and only if the minimum asymmetric distance of the code is t+1
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