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What fraction of worst-case bit deletions are correctable? Guruswami, Venkatesan
Description
We will discuss recent code constructions for recovery from a large fraction of worst-case bit deletions. Specifically, we will construct a family of binary codes of positive rate allowing efficient recovery from a fraction of deletions approaching sqrt{2}-1 > 0.414 (though we might focus on a simpler construction for deletion fraction 1/3 for the talk). Previously, even non-constructively the largest deletion fraction known to be correctable with positive rate was around 0.17. For alphabet size k, we construct codes to correct a deletion fraction exceeding (k-1)/(k+1), with (k-1)/k being a trivial upper limit. Whether a deletion fraction approaching 1/2 is correctable by binary codes remains a tantalizing open question. (Joint work with Boris Bukh and Johan Hastad)
Item Metadata
Title |
What fraction of worst-case bit deletions are correctable?
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-09-05T16:04
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Description |
We will discuss recent code constructions for recovery from a large fraction of worst-case bit deletions. Specifically, we will construct a family of binary codes of positive rate allowing efficient recovery from a fraction of deletions approaching sqrt{2}-1 > 0.414 (though we might focus on a simpler construction for deletion fraction 1/3 for the talk). Previously, even non-constructively the largest deletion fraction known to be correctable with positive rate was around 0.17. For alphabet size k, we construct codes to correct a deletion fraction exceeding (k-1)/(k+1), with (k-1)/k being a trivial upper limit. Whether a deletion fraction approaching 1/2 is correctable by binary codes remains a tantalizing open question. (Joint work with Boris Bukh and Johan Hastad)
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Extent |
29 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Carnegie Mellon University
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Series | |
Date Available |
2017-03-07
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0343089
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International