Prove that a random q-ary code with rate R > 0 with high probability has relative distance 8 2 H,' (1 – 2R –- €). Note that this is worse than the bound for random linear codes in Hint : Your argument should show that the probability of having distance at least dZH-1q(1-2R-E)d2Hq-1(1-2R-e) is 1-0(1)1-0(1), i.e. the probability should go to 1 as the block length n→o

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