{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T11:18:35Z","timestamp":1772795915990,"version":"3.50.1"},"reference-count":24,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"7","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Fundamentals"],"published-print":{"date-parts":[[2010]]},"DOI":"10.1587\/transfun.e93.a.1363","type":"journal-article","created":{"date-parts":[[2010,7,1]],"date-time":"2010-07-01T06:03:44Z","timestamp":1277964224000},"page":"1363-1370","source":"Crossref","is-referenced-by-count":15,"title":["Soft Decoding of Integer Codes and Their Application to Coded Modulation"],"prefix":"10.1587","volume":"E93-A","author":[{"given":"Hristo","family":"KOSTADINOV","sequence":"first","affiliation":[{"name":"Graduate School of Information Systems, University of Electro-Communications"}]},{"given":"Hiroyoshi","family":"MORITA","sequence":"additional","affiliation":[{"name":"Graduate School of Information Systems, University of Electro-Communications"}]},{"given":"Noboru","family":"IIJIMA","sequence":"additional","affiliation":[{"name":"Graduate School of Information Systems, University of Electro-Communications"}]},{"given":"A. J.","family":"HAN VINCK","sequence":"additional","affiliation":[{"name":"Institute of Experimental Mathematics, University of Essen"}]},{"given":"Nikolai","family":"MANEV","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences"}]}],"member":"532","reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"[1] G. Ungerboeck, &ldquo;Channel coding with multilevel\/phase signals, &rdquo; IEEE Trans. Inf. Theory, vol.IT-28, no.1, pp.55-66, Jan. 1982.","DOI":"10.1109\/TIT.1982.1056454"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/MCOM.1987.1093542"},{"key":"3","doi-asserted-by":"crossref","unstructured":"[3] H. Imai and S. Hirakawa, &ldquo;A new multilevel coding method using error-correcting codes, &rdquo; IEEE Trans. Inf. Theory, vol.IT-23, no.1, pp.656-662, Jan. 1977.","DOI":"10.1109\/TIT.1977.1055718"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1049\/ip-com:19941195"},{"key":"5","unstructured":"[5] A.J.H. Vinck and H. Morita, &ldquo;Codes over the ring of integer modulo <i>m<\/i>, &rdquo; IEICE Trans. Fundamantals, vol.E81-A, no.10, pp.2013-2018, Oct. 1998."},{"key":"6","doi-asserted-by":"crossref","unstructured":"[6] I. Blake, &ldquo;Codes over certain rings, &rdquo; Information and Control, vol.20, pp.396-404, 1972.","DOI":"10.1016\/S0019-9958(72)90223-9"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(75)80001-5"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01390768"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(77)90526-5"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/18.212300"},{"key":"11","unstructured":"[11] M. Nilsson, Linear Block Codes Over Rings for Phase Shift Keying, Thesis no.331, Link&ouml;ping University, 1993."},{"key":"12","unstructured":"[12] R.R. Varshamov and G.M. Tenengolz, &ldquo;One asymmetrical error-correctable codes, &rdquo; (in Russian) Avtomatika i Telematika, vol.26, no.2, pp.288-292, 1965."},{"key":"13","unstructured":"[13] A. Geyser and H. Morita, &ldquo;Performance of integer coded modulation over Rayleigh fading channels, &rdquo; Proc. 22nd SITA, pp.745-748, Yuzawa, Japan, 1999."},{"key":"14","unstructured":"[14] H. Kostadinov, H. Morita, and N. Manev, &ldquo;Integer codes correcting single errors of specific types (&plusmn; <i>e<\/i><sub>1<\/sub>, &plusmn; <i>e<\/i><sub>2<\/sub>,..., &plusmn; <i>e<sub>s<\/sub><\/i>), &rdquo; IEICE Trans. Fundamentals, vol.E86-A, no.7, pp.1843-1849, July 2003."},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/18.412699"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/18.272484"},{"key":"17","unstructured":"[17] K. Nakamura, &ldquo;A class of error correcting codes for DPSK channels, &rdquo; Proc. International Conference on Communications (ICC`79), pp.45.4.1-45.4.5, 1979."},{"key":"18","unstructured":"[18] K. Nakamura, &ldquo;Error correcting scheme for differentially encoded M-ary quadrature amplitude modulation system, &rdquo; Proc. Symposium on Information Theory and its Applications (SITA), pp.44-52, 1982."},{"key":"19","doi-asserted-by":"crossref","unstructured":"[19] J.K. Wolf, &ldquo;Efficient maximum likelihood decoding of linear block codes using a trellis, &rdquo; IEEE Trans. Inf. Theory, vol.IT-24, no.1, pp.76-80, Jan. 1978.","DOI":"10.1109\/TIT.1978.1055821"},{"key":"20","unstructured":"[20] H. Kostadinov, H. Morita, and N. Manev, &ldquo;Derivation on bit error probability of coded QAM using integer codes, &rdquo; IEICE Trans. Fundamentals, vol.E87-A, no.12, pp.3397-3403, Dec. 2004."},{"key":"21","doi-asserted-by":"crossref","unstructured":"[21] H. Kostadinov, H. Morita, N. Iijima, and N. Manev, &ldquo;Double error correctable integer code and its application to QAM, &rdquo; Proc. International Symposium on Information Theory and its Applications (ISITA), pp.566-571, Auckland, New Zealand, Dec. 2008.","DOI":"10.1109\/ISITA.2008.4895475"},{"key":"22","unstructured":"[22] H. Morita, A.J. Han Vink, and H. Kostadinov, &ldquo;On soft decoding of coded QAM using integer codes, &rdquo; International Symposium on Information Theory and its Applications (ISITA), pp.1321-1325, Parma, Italy, Oct. 2004."},{"key":"23","doi-asserted-by":"crossref","unstructured":"[23] E. Zehavi and J.K. Wolf, &ldquo;On the performance evaluation of trellis codes, &rdquo; IEEE Trans. Inf. Theory, vol.IT-33, no.2, pp.196-202, March 1987.","DOI":"10.1109\/TIT.1987.1057292"},{"key":"24","unstructured":"[24] S. Benedetto and E. Biglieri, Principles of Digital Transmission with Wireless Applications, Kluwer Academic, New York, 1999."}],"container-title":["IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.jstage.jst.go.jp\/article\/transfun\/E93.A\/7\/E93.A_7_1363\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,26]],"date-time":"2021-04-26T05:35:22Z","timestamp":1619415322000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.jstage.jst.go.jp\/article\/transfun\/E93.A\/7\/E93.A_7_1363\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"references-count":24,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2010]]}},"URL":"https:\/\/doi.org\/10.1587\/transfun.e93.a.1363","relation":{},"ISSN":["0916-8508","1745-1337"],"issn-type":[{"value":"0916-8508","type":"print"},{"value":"1745-1337","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010]]}}}