'List decoding' presentation slideshows

Recovering Data in Presence of Malicious Errors

Recovering Data in Presence of Malicious Errors. Atri Rudra University at Buffalo, SUNY. The setup. C(x). x. y = C(x)+error. Mapping C Error-correcting code or just code Encoding: x ? C(x) Decoding: y ? X C(x) is a codeword. x. Give up. Codes are useful!. Deep-space

698 views • 57 slides

Simple extractors for all min-entropies and a new pseudo-random generator

606 views • 47 slides

Codes and Pseudorandomness : A Survey

Codes and Pseudorandomness : A Survey. David Zuckerman University of Texas at Austin. Randomness and Computing. Randomness extremely useful in computing. Randomized algorithms Monte Carlo simulations Cryptography Distributed computing Problem: high-quality randomness expensive.

547 views • 44 slides

Codes and Pseudorandomness : A Survey

Codes and Pseudorandomness : A Survey. David Zuckerman University of Texas at Austin. Randomness and Computing. Randomness extremely useful in computing. Randomized algorithms Monte Carlo simulations Cryptography Distributed computing Problem: high-quality randomness expensive.

452 views • 44 slides

CS151 Complexity Theory

456 views • 35 slides

Multiplicity Codes

539 views • 33 slides

Multiplicity Codes

336 views • 33 slides

Communication & Computation A need for a new unifying theory

Communication & Computation A need for a new unifying theory. Madhu Sudan MIT CSAIL. Encodings of other machines. Universal Machine. Theory of Computing. Turing architecture. ? von Neumann architecture. Finite State Control. RAM. CPU. R/W. One machine to rule them all!.

421 views • 32 slides

Communication & Computation A need for a new unifying theory

Communication & Computation A need for a new unifying theory. Madhu Sudan MIT CSAIL. Encodings of other machines. Universal Machine. Theory of Computing. Turing architecture. ? von Neumann architecture. Finite State Control. RAM. CPU. R/W. One machine to rule them all!.

322 views • 32 slides

Local List Decoding

Local List Decoding. Madhu Sudan Microsoft Research. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A. Overview. Last 20 years: Lots of work on List Decoding Lots of work on Local Decoding Today: A look at the intersection: Local List Decoding

537 views • 31 slides

Communication & Computation A need for a new unifying theory

Communication & Computation A need for a new unifying theory. Madhu Sudan Microsoft, New England. Encodings of other machines. Universal Machine. Theory of Computing. Turing architecture. ? von Neumann architecture. Finite State Control. RAM. CPU. R/W.

392 views • 31 slides

CS151 Complexity Theory

297 views • 29 slides

The Method of Multiplicities

368 views • 26 slides

The Method of Multiplicities

334 views • 25 slides

Guessing Secrets Efficiently

Guessing Secrets Efficiently. Shuchi Chawla 1/23/2002. A game similar to 20 questions. Alice has k secret n -bit strings Bob wants to learn them Bob can ask binary questions about one secret Alice uses any secret of her choice to reply What should he ask?

345 views • 23 slides

Limits to List Decoding Reed-Solomon Codes

Limits to List Decoding Reed-Solomon Codes. Venkatesan Guruswami Atri Rudra (University of Washington). Error-Correcting Codes. Linear Code C : GF(q) k ! GF(q) n Hamming Distance or ? ( u , v ) for u , v 2 GF(q) n Number of positions u and v differ

449 views • 22 slides