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» Limits to List Decoding Random Codes
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COCOON
2009
Springer
15 years 7 months ago
Limits to List Decoding Random Codes
It has been known since [Zyablov and Pinsker 1982] that a random q-ary code of rate 1 − Hq(ρ) − ε (where 0 < ρ < 1 − 1/q, ε > 0 and Hq(·) is the q-ary entropy ...
Atri Rudra
STOC
2005
ACM
120views Algorithms» more  STOC 2005»
16 years 20 days ago
Limits to list decoding Reed-Solomon codes
In this paper, we prove the following two results that expose some combinatorial limitations to list decoding ReedSolomon codes.
Venkatesan Guruswami, Atri Rudra
85
Voted
STOC
2010
ACM
257views Algorithms» more  STOC 2010»
15 years 9 months ago
Local List-Decoding and Testing of Random Linear Codes from High-Error
Swastik Kopparty and Shubhangi Saraf
89
Voted
STOC
2010
ACM
178views Algorithms» more  STOC 2010»
15 years 9 months ago
On the List-Decodability of Random Linear Codes
Venkatesan Guruswami, Johan Håstad and Swastik Ko...
CORR
2008
Springer
110views Education» more  CORR 2008»
15 years 14 days ago
A Neyman-Pearson Approach to Universal Erasure and List Decoding
When information is to be transmitted over an unknown, possibly unreliable channel, an erasure option at the decoder is desirable. Using constant-composition random codes, we propo...
Pierre Moulin