Ensemble di codici su gruppi abeliani

Giacomo Como

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana (2009)

• Volume: 2, Issue: 2, page 227-230
• ISSN: 1972-7356

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Como, Giacomo. "Ensemble di codici su gruppi abeliani." La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana 2.2 (2009): 227-230. <http://eudml.org/doc/290613>.

@article{Como2009,
author = {Como, Giacomo},
journal = {La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana},
language = {ita},
month = {8},
number = {2},
pages = {227-230},
publisher = {Unione Matematica Italiana},
title = {Ensemble di codici su gruppi abeliani},
url = {http://eudml.org/doc/290613},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Como, Giacomo
TI - Ensemble di codici su gruppi abeliani
JO - La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana
DA - 2009/8//
PB - Unione Matematica Italiana
VL - 2
IS - 2
SP - 227
EP - 230
LA - ita
UR - http://eudml.org/doc/290613
ER -

References

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1. COMO, G. e FAGNANI, F., Average spectra and minimum distances of low-density parity-check codes over Abelian groups, SIAM Journal on Discrete Mathematics, 23 (1) (2008), 19-53. Zbl1190.94037MR2452868DOI10.1137/070686615
2. COMO, G. e FAGNANI, F., The capacity of finite Abelian group codes over memoryless symmetric channels, IEEE Transctions on Information Theory, 55 (5) (2009), 2037-2054. Zbl1367.94401MR2729862DOI10.1109/TIT.2009.2015992
3. COMO, G., Group codes outperform binary coset codes on non-binary symmetric memoryless channels, IEEE Transctions on Information Theory, submitted (2008). Zbl1366.94584MR2807329DOI10.1109/TIT.2010.2054330
4. DOBRUSHIN, L. R., Asymptotic optimality of group and systematic codes for some channels, Theory of Probability and its Applications, 8 (1963), 47-59. Zbl0126.35802MR151333
5. GALLAGER, R. G., Low Density Parity Check Codes, MIT Press, Cambridge, MA (1963). Zbl0107.11802
6. LOELIGER, H. -A., Signal sets matched to groups, IEEE Transctions on Information Theory, 37 (6) (1991), 1675-1679. Zbl0742.94015MR1134310DOI10.1109/18.104333
7. SHANNON, C.E., A mathematical theory of communication, Bell Systems Technical Journal, 27 (1948), 379-423 and 623-656. Zbl1154.94303MR26286DOI10.1002/j.1538-7305.1948.tb01338.x
8. SLEPIAN, D., Group codes for the Gaussian channel, Bell Systems Technical Journal, 47 (1968), 507-602. Zbl0157.49201MR238603DOI10.1002/j.1538-7305.1968.tb02486.x

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