Question: An n-ary Gray code uses n values in the encoding, but the Hamming distance between successive elements is still 1. An (n,k)-Gray code is an

An n-ary Gray code uses n values in the encoding, but the Hamming distance between successive elements is still 1. An (n,k)-Gray code is an n-ary Gray code with k digits. Devise an algorithm for constructing a (k,n)-Gray code and prove that it is correct.

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