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» Upper Bound on List-Decoding Radius of Binary Codes
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CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 5 months ago
Error Exponents of Erasure/List Decoding Revisited via Moments of Distance Enumerators
The analysis of random coding error exponents pertaining to erasure/list decoding, due to Forney, is revisited. Instead of using Jensen’s inequality as well as some other inequa...
Neri Merhav
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 6 months ago
Artin automorphisms, cyclotomic function fields, and folded list-decodable codes
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
Venkatesan Guruswami
TIT
2010
136views Education» more  TIT 2010»
13 years 10 days 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
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 6 months ago
Explicit capacity-achieving list-decodable codes
For every 0 < R < 1 and > 0, we present an explicit construction of error-correcting codes of rate R that can be list decoded in polynomial time up to a fraction (1 - R ...
Venkatesan Guruswami, Atri Rudra
TIT
2008
90views more  TIT 2008»
13 years 5 months ago
An Improved Sphere-Packing Bound for Finite-Length Codes Over Symmetric Memoryless Channels
This paper derives an improved sphere-packing (ISP) bound for finite-length error-correcting codes whose transmission takes place over symmetric memoryless channels, and the codes...
Gil Wiechman, Igal Sason