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» Linear time encodable and list decodable codes
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STOC
2003
ACM
135views Algorithms» more  STOC 2003»
14 years 11 months ago
Linear time encodable and list decodable codes
Venkatesan Guruswami, Piotr Indyk
CORR
2008
Springer
154views Education» more  CORR 2008»
13 years 11 months ago
Approaching Blokh-Zyablov Error Exponent with Linear-Time Encodable/Decodable Codes
Guruswami and Indyk showed in [1] that Forney's error exponent can be achieved with linear coding complexity over binary symmetric channels. This paper extends this conclusion...
Zheng Wang, Jie Luo
STOC
1995
ACM
88views Algorithms» more  STOC 1995»
14 years 2 months ago
Linear-time encodable and decodable error-correcting codes
We present a new class of asymptotically good, linear error-correcting codes. These codes can be both encoded and decoded in linear time. They can also be encoded by logarithmic-d...
Daniel A. Spielman
FOCS
2003
IEEE
14 years 4 months ago
List-Decoding Using The XOR Lemma
We show that Yao’s XOR Lemma, and its essentially equivalent rephrasing as a Direct Product Lemma, can be re-interpreted as a way of obtaining error-correcting codes with good l...
Luca Trevisan
ESA
2000
Springer
84views Algorithms» more  ESA 2000»
14 years 2 months ago
On Representations of Algebraic-Geometric Codes for List Decoding
Abstract. We show that all algebraic-geometric codes possess a succinct representation that allows for the list decoding algorithms of [15, 7] to run in polynomial time. We do this...
Venkatesan Guruswami, Madhu Sudan