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CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 4 months ago
Distance distribution of binary codes and the error probability of decoding
We address the problem of bounding below the probability of error under maximum-likelihood decoding of a binary code with a known distance distribution used on a binarysymmetric ch...
Alexander Barg, Andrew McGregor
CORR
2006
Springer
88views Education» more  CORR 2006»
13 years 4 months ago
Tightened Upper Bounds on the ML Decoding Error Probability of Binary Linear Block Codes
-- The performance of maximum-likelihood (ML) decoded binary linear block codes is addressed via the derivation of tightened upper bounds on their decoding error probability. The u...
Moshe Twitto, Igal Sason, Shlomo Shamai
TIT
2010
111views Education» more  TIT 2010»
12 years 11 months ago
On correctable errors of binary linear codes
The error correction capability of binary linear codes with minimum distance decoding, in particular the number of correctable/uncorrectable errors, is investigated for general lin...
Kenji Yasunaga, Toru Fujiwara
CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 4 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
CORR
2006
Springer
90views Education» more  CORR 2006»
13 years 4 months ago
Decoder Error Probability of MRD Codes
In this paper, we first introduce the concept of elementary linear subspace, which has similar properties to those of a set of coordinates. Using this new concept, we derive proper...
Maximilien Gadouleau, Zhiyuan Yan