{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T08:02:45Z","timestamp":1743148965949,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":21,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540874478"},{"type":"electronic","value":"9783540874485"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-3-540-87448-5_11","type":"book-chapter","created":{"date-parts":[[2008,8,25]],"date-time":"2008-08-25T12:12:04Z","timestamp":1219666324000},"page":"95-106","source":"Crossref","is-referenced-by-count":8,"title":["Minimal Trellis Construction for Finite Support Convolutional Ring Codes"],"prefix":"10.1007","author":[{"given":"Margreta","family":"Kuijper","sequence":"first","affiliation":[]},{"given":"Raquel","family":"Pinto","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"11_CR1","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/BF01390768","volume":"6","author":"A.R. Calderbank","year":"1995","unstructured":"Calderbank, A.R., Sloane, N.J.A.: Modular and p-adic cyclic codes. Designs, Codes and Cryptography\u00a06, 21\u201335 (1995)","journal-title":"Designs, Codes and Cryptography"},{"key":"11_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-2174-1","volume-title":"Error-Correction Coding for Digital Communications","author":"G.C. Clark","year":"1981","unstructured":"Clark, G.C., Cain, J.B.: Error-Correction Coding for Digital Communications. Plenum Press, New York (1981)"},{"key":"11_CR3","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/j.laa.2004.06.007","volume":"392","author":"E. Fornasini","year":"2004","unstructured":"Fornasini, E., Pinto, R.: Matrix fraction descriptions in convolutional coding. Linear Algebra and its Applications\u00a0392, 119\u2013158 (2004)","journal-title":"Linear Algebra and its Applications"},{"key":"11_CR4","doi-asserted-by":"publisher","first-page":"1491","DOI":"10.1109\/18.259635","volume":"39","author":"G.D. Forney","year":"1993","unstructured":"Forney, G.D., Trott, M.D.: The dynamics of group codes: state spaces, trellis diagrams, and canonical encoders. IEEE Trans. Inf. Th.\u00a039, 1491\u20131513 (1993)","journal-title":"IEEE Trans. Inf. Th."},{"key":"11_CR5","doi-asserted-by":"publisher","first-page":"518","DOI":"10.1016\/j.laa.2007.03.004","volume":"425","author":"H. Gluesing-Luersen","year":"2007","unstructured":"Gluesing-Luersen, H., Schneider, G.: State space realizations and monomial equivalence for convolutional codes. Linear Algebra and its Applications\u00a0425, 518\u2013533 (2007)","journal-title":"Linear Algebra and its Applications"},{"key":"11_CR6","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1109\/18.312154","volume":"40","author":"A.R. Hammons","year":"1994","unstructured":"Hammons, A.R., Kumar, P.V., Calderbank, A.R., Sloane, N.J.A., Sol\u00e9, P.: The Z 4-linearity of Kerdock, Preparata, Goethals, and related codes. IEEE Trans. Inf. Th.\u00a040, 301\u2013319 (1994)","journal-title":"IEEE Trans. Inf. Th."},{"key":"11_CR7","volume-title":"Linear Systems","author":"T. Kailath","year":"1980","unstructured":"Kailath, T.: Linear Systems. Prentice Hall, Englewood Cliffs (1980)"},{"key":"11_CR8","doi-asserted-by":"publisher","first-page":"776","DOI":"10.1016\/j.laa.2007.04.015","volume":"425","author":"M. Kuijper","year":"2007","unstructured":"Kuijper, M., Pinto, R., Polderman, J.W.: The predictable degree property and row reducedness for systems over a finite ring. Linear Algebra and its Applications\u00a0425, 776\u2013796 (2007)","journal-title":"Linear Algebra and its Applications"},{"key":"11_CR9","unstructured":"Kuijper, M., Pinto, R.: On minimality of convolutional ring encoders (submitted; av), http:\/\/arxiv.org\/abs\/0801.3703"},{"key":"11_CR10","doi-asserted-by":"publisher","first-page":"937","DOI":"10.1016\/0024-3795(94)90375-1","volume":"205-206","author":"H.-A. Loeliger","year":"1994","unstructured":"Loeliger, H.-A., Forney Jr., G.D., Mittelholzer, T., Trott, M.D.: Minimality and observability of group systems. Linear Algebra and its Applications\u00a0205-206, 937\u2013963 (1994)","journal-title":"Linear Algebra and its Applications"},{"key":"11_CR11","doi-asserted-by":"publisher","first-page":"1660","DOI":"10.1109\/18.556664","volume":"IT-42","author":"H.-A. Loeliger","year":"1996","unstructured":"Loeliger, H.-A., Mittelholzer, T.: Convolutional codes over groups. IEEE Trans. Inf. Th.\u00a0IT-42, 1660\u20131686 (1996)","journal-title":"IEEE Trans. Inf. Th."},{"key":"11_CR12","unstructured":"Manganiello, F.: Computation of the weight distribution of CRC codes (2006), http:\/\/archiv.org\/abs\/cs\/0607068"},{"key":"11_CR13","unstructured":"Mittelholzer, T.: Minimal encoders for convolutional codes over rings. In: Honory, B., Darnell, M., Farell, P.G. (eds.) Communications Theory and Applications, pp. 30\u201336. HW Comm. Ltd (1993)"},{"key":"11_CR14","doi-asserted-by":"publisher","first-page":"1594","DOI":"10.1109\/18.532906","volume":"42","author":"V.S. Pless","year":"1996","unstructured":"Pless, V.S., Qian, Z.: Cyclic codes and quadratic residue codes over Z 4. IEEE Trans. Inf. Th.\u00a042, 1594\u20131600 (1996)","journal-title":"IEEE Trans. Inf. Th."},{"key":"11_CR15","doi-asserted-by":"publisher","first-page":"1881","DOI":"10.1109\/18.556682","volume":"42","author":"J. Rosenthal","year":"1996","unstructured":"Rosenthal, J., Schumacher, J.M., York, E.V.: On behaviors and convolutional codes. IEEE Trans. Inf. Th.\u00a042, 1881\u20131891 (1996)","journal-title":"IEEE Trans. Inf. Th."},{"issue":"1","key":"11_CR16","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/s002000050120","volume":"10","author":"J. Rosenthal","year":"1999","unstructured":"Rosenthal, J., Smarandache, R.: Maximum distance separable convolutional codes. Appl. Algebra Engrg. Comm. Comput.\u00a010(1), 15\u201332 (1999)","journal-title":"Appl. Algebra Engrg. Comm. Comput."},{"key":"11_CR17","doi-asserted-by":"publisher","first-page":"2267","DOI":"10.1109\/TIT.2007.896884","volume":"53","author":"P. Sol\u00e9","year":"2007","unstructured":"Sol\u00e9, P., Sison, V.: Quaternary convolutional codes from linear block codes over galois rings. IEEE Trans. Inf. Th.\u00a053, 2267\u20132270 (2007)","journal-title":"IEEE Trans. Inf. Th."},{"key":"11_CR18","doi-asserted-by":"publisher","first-page":"1839","DOI":"10.1109\/18.556679","volume":"42","author":"V.V. Vazirani","year":"1996","unstructured":"Vazirani, V.V., Saran, H., Rajan, B.S.: An efficient algorithm for constructing minimal trellises for codes over finite abelian groups. IEEE Trans. Inf. Th.\u00a042, 1839\u20131854 (1996)","journal-title":"IEEE Trans. Inf. Th."},{"key":"11_CR19","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/978-3-322-96657-5_5","volume":"2","author":"J.C. Willems","year":"1988","unstructured":"Willems, J.C.: Models for dynamics. Dynamics Rep.\u00a02, 171\u2013282 (1988)","journal-title":"Dynamics Rep."},{"key":"11_CR20","unstructured":"Wittenmark, E.: An Encounter with Convolutional Codes over Rings. PhD dissertation, Lund University, Lund, Sweden (1998)"},{"key":"11_CR21","doi-asserted-by":"crossref","unstructured":"Wittenmark, E.: Minimal trellises for convolutional codes over rings. In: Proceedings 1998 IEEE International Symposium in Information Theory (ISIT 1998), Cambridge, USA, p.\u00a015 (1998)","DOI":"10.1109\/ISIT.1998.708593"}],"container-title":["Lecture Notes in Computer Science","Coding Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-87448-5_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,31]],"date-time":"2025-01-31T17:27:17Z","timestamp":1738344437000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-540-87448-5_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540874478","9783540874485"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-87448-5_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2008]]}}}