%0 Journal Article %1 montanarai00 %A Montanari, A. %D 2000 %I EDP Sciences, Springer-Verlag %J The European Physical Journal B - Condensed Matter and Complex Systems %K codes error-correcting-codes physics turbo.codes %N 1 %P 121--136 %R 10.1007/s100510070085 %T Turbo Codes: the Phase Transition %V 18 %X Turbo codes are a very efficient method for communicating reliably through a noisy channel. There is no theoretical understanding of their effectiveness. In reference 1 they are mapped onto a class of disordered spin models. The analytical calculations concerning these models are reported here. We prove the existence of a no-error phase and compute its local stability threshold. As a byproduct, we gain some insight into the dynamics of the decoding algorithm.

@article{montanarai00, abstract = {Turbo codes are a very efficient method for communicating reliably through a noisy channel. There is no theoretical understanding of their effectiveness. In reference [1] they are mapped onto a class of disordered spin models. The analytical calculations concerning these models are reported here. We prove the existence of a no-error phase and compute its local stability threshold. As a byproduct, we gain some insight into the dynamics of the decoding algorithm.}, added-at = {2015-04-18T12:11:41.000+0200}, author = {Montanari, A.}, biburl = {https://www.bibsonomy.org/bibtex/2505c30bf5089e55bb5ac5fcea69fd69e/ytyoun}, doi = {10.1007/s100510070085}, interhash = {931cc97184aa6bbfa6af9b4567d5f995}, intrahash = {505c30bf5089e55bb5ac5fcea69fd69e}, issn = {1434-6028}, journal = {The European Physical Journal B - Condensed Matter and Complex Systems}, keywords = {codes error-correcting-codes physics turbo.codes}, language = {English}, number = 1, pages = {121--136}, publisher = {EDP Sciences, Springer-Verlag}, timestamp = {2015-11-09T12:32:36.000+0100}, title = {{Turbo} Codes: the Phase Transition}, volume = 18, year = 2000 }