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» Random codes: Minimum distances and error exponents
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TIT
2002
62views more  TIT 2002»
13 years 4 months ago
Random codes: Minimum distances and error exponents
Abstract--Minimum distances, distance distributions, and error exponents on a binary-symmetric channel (BSC) are given for typical codes from Shannon's random code ensemble an...
Alexander Barg, G. David Forney Jr.
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
2007
Springer
110views Education» more  CORR 2007»
13 years 4 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
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
2008
Springer
154views Education» more  CORR 2008»
13 years 4 months ago
Approaching Blokh-Zyablov Error Exponent with Linear-Time Encodable/Decodable Codes
Guruswami and Indyk showed in [1] that Forney's error exponent can be achieved with linear coding complexity over binary symmetric channels. This paper extends this conclusion...
Zheng Wang, Jie Luo