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The list-decodability of random linear codes is shown to be as good as that of general random codes. Specifically, for every fixed finite field Fq, p ∈ (0,1 - 1/q) and ε >; 0, it is proved that with high probability a random linear code C in Fqn of rate (1-Hq(p)-ε) can be list decoded from a fraction p of errors with lists of size at most O(1/ε). This also answers a basic open question concerning...
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