TY - GEN
T1 - Performance analysis of linear codes under maximum likelihood decoding at low rates
AU - Yagi, Hideki
AU - Poor, H. Vincent
PY - 2010/8/23
Y1 - 2010/8/23
N2 - Or a given linear code, a lower bound on the error exponent under maximum likelihood decoding is investigated at low rates. or a given linear code, a lower bound on the error exponent under maximum likelihood decoding is investigated at low rates. F In the analysis of the decoding error probability, it is important to characterize the error exponent, since it indicates how fast the probability of decoding error converges to zero asymptotically. Over a symmetric memoryless channel, an error exponent is derived for a given linear code. A sufficient condition for achieving the expurgated exponent, which is the best among known error exponents at low rates, is given. Over a general discrete memoryless channel, the same analysis shows the expected error exponent of an ensemble of coset codes generated by a given linear code.
AB - Or a given linear code, a lower bound on the error exponent under maximum likelihood decoding is investigated at low rates. or a given linear code, a lower bound on the error exponent under maximum likelihood decoding is investigated at low rates. F In the analysis of the decoding error probability, it is important to characterize the error exponent, since it indicates how fast the probability of decoding error converges to zero asymptotically. Over a symmetric memoryless channel, an error exponent is derived for a given linear code. A sufficient condition for achieving the expurgated exponent, which is the best among known error exponents at low rates, is given. Over a general discrete memoryless channel, the same analysis shows the expected error exponent of an ensemble of coset codes generated by a given linear code.
UR - http://www.scopus.com/inward/record.url?scp=77955676686&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955676686&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2010.5513669
DO - 10.1109/ISIT.2010.5513669
M3 - Conference contribution
AN - SCOPUS:77955676686
SN - 9781424469604
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1168
EP - 1172
BT - 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings
T2 - 2010 IEEE International Symposium on Information Theory, ISIT 2010
Y2 - 13 June 2010 through 18 June 2010
ER -