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CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 5 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
TIT
2010
90views Education» more  TIT 2010»
13 years 21 days ago
Group codes outperform binary-coset codes on nonbinary symmetric memoryless channels
Typical minimum distances and error exponents are analyzed on the 8-PSK Gaussian channel for two capacityachieving code ensembles with different algebraic structure. It is proved t...
Giacomo Como
CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 6 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
2007
Springer
110views Education» more  CORR 2007»
13 years 6 months ago
Relations between random coding exponents and the statistical physics of random codes
The partition function pertaining to finite–temperature decoding of a (typical) randomly chosen code is known to have three types of behavior, corresponding to three phases in ...
Neri Merhav
CORR
2007
Springer
149views Education» more  CORR 2007»
13 years 6 months ago
Competitive minimax universal decoding for several ensembles of random codes
Universally achievable error exponents pertaining to certain families of channels (most notably, discrete memoryless channels (DMC’s)), and various ensembles of random codes, ar...
Yaniv Akirav, Neri Merhav