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LDPC Codes Achieve List Decoding Capacity

LDPC Codes Achieve List Decoding Capacity

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Our main result

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Our main result

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LDPC Codes Achieve List Decoding Capacity

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  1. 1 Intro
  2. 2 Error correcting codes
  3. 3 List-decoding and unique decoding
  4. 4 Which codes are list-decodable?
  5. 5 Gallager's Ensemble First studied family of LDPC codes. Parameters
  6. 6 Our main result
  7. 7 List-decoding is a local property
  8. 8 Local properties of random linear codes
  9. 9 Open problems

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