Proximity Gaps for Reed-Solomon Codes

Proximity Gaps for Reed-Solomon Codes

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Applying Berlekamp-Welch to w(2)

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14 of 14

Applying Berlekamp-Welch to w(2)

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Classroom Contents

Proximity Gaps for Reed-Solomon Codes

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  1. 1 Intro
  2. 2 Common notations (Reed-Solomon codes)
  3. 3 Motivating problem
  4. 4 Main theorem statement — correlated agreement
  5. 5 proximity gaps
  6. 6 The error term
  7. 7 Generalizations to different sets
  8. 8 Prior Work and Applications Prior work
  9. 9 Decoders
  10. 10 What do we decode?
  11. 11 The Berlekamp Welch decoder
  12. 12 The Berlekamp-Welch decoder in F,(2)
  13. 13 Applying Berlekamp Welch to w(2)
  14. 14 Applying Berlekamp-Welch to w(2)

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