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TIT
2008
149views more  TIT 2008»
13 years 4 months ago
An Improved Bound on the List Error Probability and List Distance Properties
A new upper bound on the list error probability is presented. This bound is derived by combining the techniques for obtaining the tangential union bound with an improved bound on t...
Irina E. Bocharova, Rolf Johannesson, Boris D. Kud...
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
2000
ACM
123views Algorithms» more  STOC 2000»
13 years 8 months ago
List decoding algorithms for certain concatenated codes
We give efficient (polynomial-time) list-decoding algorithms for certain families of errorcorrecting codes obtained by "concatenation". Specifically, we give list-decodi...
Venkatesan Guruswami, Madhu Sudan
DCC
2010
IEEE
13 years 7 days ago
Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Nathan Drake, Gretchen L. Matthews
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