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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»
14 years 10 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»
15 years 11 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»
14 years 5 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
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
15 years 10 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
73
Voted
TIT
2008
90views more  TIT 2008»
14 years 10 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