{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T05:06:35Z","timestamp":1775019995409,"version":"3.50.1"},"reference-count":18,"publisher":"Pleiades Publishing Ltd","issue":"3","license":[{"start":{"date-parts":[[2012,7,1]],"date-time":"2012-07-01T00:00:00Z","timestamp":1341100800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2012,7,1]],"date-time":"2012-07-01T00:00:00Z","timestamp":1341100800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Probl Inf Transm"],"published-print":{"date-parts":[[2012,7]]},"DOI":"10.1134\/s0032946012030015","type":"journal-article","created":{"date-parts":[[2012,10,17]],"date-time":"2012-10-17T13:09:45Z","timestamp":1350479385000},"page":"199-216","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["On the reliability function for a noisy feedback Gaussian channel: Zero rate"],"prefix":"10.1134","volume":"48","author":[{"given":"M. V.","family":"Burnashev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Yamamoto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2012,10,17]]},"reference":[{"issue":"3","key":"4142_CR1","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1109\/TIT.1956.1056798","volume":"2","author":"C.E. Shannon","year":"1956","unstructured":"Shannon, C.E., The Zero Error Capacity of a Noisy Channel, IRE Trans. Inform. Theory, 1956, vol. 2, no. 3, pp. 8\u201319.","journal-title":"IRE Trans. Inform. Theory"},{"key":"4142_CR2","first-page":"161","volume":"8","author":"R.L. Dobrushin","year":"1962","unstructured":"Dobrushin, R.L., Asymptotic Bound on the Error Probability for Message Transmission over a Memoryless Channel with Feedback, Probl. Kibern., 1962, vol. 8, pp. 161\u2013168.","journal-title":"Probl. Kibern."},{"issue":"3","key":"4142_CR3","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1109\/TIT.1963.1057832","volume":"9","author":"M. Horstein","year":"1963","unstructured":"Horstein, M., Sequential Decoding Using Noiseless Feedback, IEEE Trans. Inform. Theory, 1963, vol. 9, no. 3, pp. 136\u2013143.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"4142_CR4","volume-title":"Block Coding with Noiseless Feedback","author":"E.R. Berlekamp","year":"1964","unstructured":"Berlekamp, E.R., Block Coding with Noiseless Feedback, PhD Thesis, Cambridge: MIT, 1964."},{"issue":"2","key":"4142_CR5","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1109\/TIT.1966.1053879","volume":"12","author":"J.P.M. Schalkwijk","year":"1966","unstructured":"Schalkwijk, J.P.M. and Kailath, T., A Coding Scheme for Additive Noise Channels with Feedback. I: No Bandwidth Constraint, IEEE Trans. Inform. Theory, 1966, vol. 12, no. 2, pp. 172\u2013182.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"4","key":"4142_CR6","first-page":"3","volume":"4","author":"M.S. Pinsker","year":"1968","unstructured":"Pinsker, M.S., The Probability of Error in Block Transmission in a Memoryless Gaussian Channel with Feedback, Probl. Peredachi Inf., 1968, vol. 4, no. 4, pp. 3\u201319 [Probl. Inf. Trans. (Engl. Transl.), 1968, vol. 4, no. 4, pp. 1\u201314].","journal-title":"Probl. Peredachi Inf."},{"issue":"4","key":"4142_CR7","first-page":"10","volume":"12","author":"M.V. Burnashev","year":"1976","unstructured":"Burnashev, M.V., Data Transmission over a Discrete Channel with Feedback. Random Transmission Time, Probl. Peredachi Inf., 1976, vol. 12, no. 4, pp. 10\u201330 [Probl. Inf. Trans. (Engl. Transl.), 1976, vol. 12, no. 4, pp. 250\u2013265].","journal-title":"Probl. Peredachi Inf."},{"issue":"1","key":"4142_CR8","first-page":"3","volume":"24","author":"M.V. Burnashev","year":"1988","unstructured":"Burnashev, M.V., On the Reliability Function of a Binary Symmetrical Channel with Feedback, Probl. Peredachi Inf., 1988, vol. 24, no. 1, pp. 3\u201310 [Probl. Inf. Trans. (Engl. Transl.), 1988, vol. 24, no. 1, pp. 1\u20137].","journal-title":"Probl. Peredachi Inf."},{"issue":"6","key":"4142_CR9","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1109\/TIT.1979.1056119","volume":"25","author":"H. Yamamoto","year":"1979","unstructured":"Yamamoto, H. and Itoh, R., Asymptotic Performance of a Modified Schalkwijk-Barron Scheme for Channels with Noiseless Feedback, IEEE Trans. Inform. Theory, 1979, vol. 25, no. 6, pp. 729\u2013733.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"4142_CR10","doi-asserted-by":"crossref","unstructured":"Burnashev, M.V. and Yamamoto, H., On BSC, Noisy Feedback and Three Messages, in Proc. IEEE Int. Symp. on Information Theory, Toronto, Canada, 2008, pp. 886\u2013889.","DOI":"10.1109\/ISIT.2008.4595114"},{"issue":"3","key":"4142_CR11","first-page":"33","volume":"44","author":"M.V. Burnashev","year":"2008","unstructured":"Burnashev, M.V. and Yamamoto, H., On the Zero-Rate Error Exponent for a BSC with Noisy Feedback, Probl. Peredachi Inf., 2008, vol. 44, no. 3, pp. 33\u201349 [Probl. Inf. Trans. (Engl. Transl.), 2008, vol. 44, no. 3, pp. 198\u2013213].","journal-title":"Probl. Peredachi Inf."},{"key":"4142_CR12","doi-asserted-by":"crossref","unstructured":"Burnashev, M.V. and Yamamoto, H., Noisy Feedback Improves the BSC Reliability Function, in Proc. IEEE Int. Sympos. on Information Theory, Seoul, Korea, 2009, pp. 1501\u20131505.","DOI":"10.1109\/ISIT.2009.5205852"},{"issue":"2","key":"4142_CR13","first-page":"3","volume":"46","author":"M.V. Burnashev","year":"2010","unstructured":"Burnashev, M.V. and Yamamoto, H., On the Reliability Function for a BSC with Noisy Feedback, Probl. Peredachi Inf., 2010, vol. 46, no. 2, pp. 3\u201323 [Probl. Inf. Trans. (Engl. Transl.), 2010, vol. 46, no. 2, pp. 103\u2013121].","journal-title":"Probl. Peredachi Inf."},{"key":"4142_CR14","doi-asserted-by":"crossref","unstructured":"Draper, S.C. and Sahai, A., Noisy Feedback Improves Communication Reliability, in Proc. IEEE Int. Symp. on Information Theory, Seattle, USA, 2006, pp. 69\u201373.","DOI":"10.1109\/ISIT.2006.261676"},{"key":"4142_CR15","doi-asserted-by":"crossref","unstructured":"Kim, Y.-H., Lapidoth, A., and Weissman, T., The Gaussian Channel with Noisy Feedback, in Proc. IEEE Int. Symp. on Information Theory, Nice, France, 2007, pp. 1416\u20131420.","DOI":"10.1109\/ISIT.2007.4557421"},{"key":"4142_CR16","doi-asserted-by":"crossref","unstructured":"Xiang, Y. and Kim, Y.-H., On the AWGN Channel with Noisy Feedback and Peak Energy Constraint, in Proc. IEEE Int. Sympos. on Information Theory, Austin, Texas, USA, 2010, pp. 256\u2013259.","DOI":"10.1109\/ISIT.2010.5513312"},{"issue":"3","key":"4142_CR17","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1002\/j.1538-7305.1959.tb03905.x","volume":"38","author":"C.E. Shannon","year":"1959","unstructured":"Shannon, C.E., Probability of Error for Optimal Codes in Gaussian Channel, Bell Syst. Tech. J., 1959, vol. 38, no. 3, pp. 611\u2013656.","journal-title":"Bell Syst. Tech. J."},{"key":"4142_CR18","doi-asserted-by":"crossref","unstructured":"Burnashev, M.V. and Yamamoto, H., On Decoding Error Exponent of Gaussian Channel with Noisy Feedback: Nonexponential Number of Messages, in Proc. IEEE Int. Sympos. on Information Theory, Boston, USA, 2012, pp. 2964\u20132968.","DOI":"10.1109\/ISIT.2012.6284078"}],"container-title":["Problems of Information Transmission"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946012030015.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0032946012030015","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946012030015","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946012030015.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T03:09:25Z","timestamp":1775012965000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0032946012030015"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,7]]}},"alternative-id":["4142"],"URL":"https:\/\/doi.org\/10.1134\/s0032946012030015","relation":{},"ISSN":["0032-9460","1608-3253"],"issn-type":[{"value":"0032-9460","type":"print"},{"value":"1608-3253","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7]]},"assertion":[{"value":"9 April 2012","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 June 2012","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 October 2012","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}