In today’s lecture, we first saw Sudan’s list decoding algorithm and proved that it could correct fraction of errors for rate Reed-Solomon codes. We then looked at the Guruswami-Sudan list decoder and proved it could correct fraction of errors (modulo a couple of lemmas).

Next lecture, we will prove the lemmas mentioned above. Then we will talk about some implications for a couple of generalization of the list decoding problem. If we have time, we will start talking about some recent results in list decoding.

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