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Everything about List decoding

Alternative to unique decoding in coding theory

In coding theory, list decoding is an alternative to unique decoding of error-correcting codes for large error rates. The notion was proposed by Elias in the 1950s. The main idea behind list decoding is that the decoding algorithm instead of outputting a single possible message outputs a list of possibilities one of which is correct. This allows for handling a greater number of errors than that allowed by unique decoding. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: List decodingA 5-minute orientation
  2. Skim a recent paper: List-GRAND: A Practical Way to Achieve Maximum Likelihood DecodingInfluential work since 2022
  3. Pick up a classic book: Mathematical structures for computer scienceThe most-reprinted book on the subject
  4. Read the landmark paper: List Decoding of Polar CodesCited 1,656 times
  5. Go sideways: Folded Reed–Solomon codeA closely related topic
  6. Go sideways: Locally decodable codeA closely related topic

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🏆 Landmark papers (most cited)

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