Recall that Aq(n, d) denotes the largest value of M such that there exists an (n,...

 

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Recall that Aq(n, d) denotes the largest value of M such that there exists an (n, M, d)- code over a q-ary alphabet. (a) Show that A,(n, d) q-d+1. (The Singleton bound). (b) Use (a) to show that, for any [n, k, d] linear code, kn-d+1. Recall that Aq(n, d) denotes the largest value of M such that there exists an (n, M, d)- code over a q-ary alphabet. (a) Show that A,(n, d) q-d+1. (The Singleton bound). (b) Use (a) to show that, for any [n, k, d] linear code, kn-d+1.