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TIT
2010
136views Education» more  TIT 2010»
12 years 11 months ago
The existence of concatenated codes list-decodable up to the hamming bound
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
SODA
2008
ACM
95views Algorithms» more  SODA 2008»
13 years 6 months ago
Concatenated codes can achieve list-decoding capacity
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
13 years 10 months ago
Better Binary List-Decodable Codes Via Multilevel Concatenation
We give a polynomial time construction of binary codes with the best currently known trade-off between rate and error-correction radius. Specifically, we obtain linear codes ove...
Venkatesan Guruswami, Atri Rudra