{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T12:58:59Z","timestamp":1772283539513,"version":"3.50.1"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2006,11,1]],"date-time":"2006-11-01T00:00:00Z","timestamp":1162339200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Des Codes Crypt"],"published-print":{"date-parts":[[2006,11,27]]},"DOI":"10.1007\/s10623-006-9019-4","type":"journal-article","created":{"date-parts":[[2006,11,1]],"date-time":"2006-11-01T06:36:35Z","timestamp":1162362995000},"page":"325-342","source":"Crossref","is-referenced-by-count":7,"title":["On universally decodable matrices for space\u2013time coding"],"prefix":"10.1007","volume":"41","author":[{"given":"Pascal O.","family":"Vontobel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ashwin","family":"Ganesan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,11,1]]},"reference":[{"key":"9019_CR1","volume-title":"Algebraic codes for data transmission","author":"RE Blahut","year":"2002","unstructured":"Blahut RE (2002) Algebraic codes for data transmission. Cambridge University Press, Cambridge"},{"issue":"(2","key":"9019_CR2","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1109\/18.75249","volume":"37","author":"G Castagnoli","year":"1991","unstructured":"Castagnoli G, Massey JL, Schoeller PA, von Seemann N (1991) On repeated-root cyclic codes. IEEE Trans Inform Theory IT\u201337 (2): 337\u2013342","journal-title":"IEEE Trans Inform Theory IT\u2013"},{"key":"9019_CR3","unstructured":"Chen CL (1969) Some results on algebraically structured error-correcting codes. Ph.D. thesis, University of Hawaii, Honolulu, HI, USA"},{"key":"9019_CR4","first-page":"67","volume":"545","author":"WWL Chen","year":"2002","unstructured":"Chen WWL, Skriganov MM (2002) Explicit constructions in the classical mean squares problem in irregularities of point distribution. J Reine Angew Math 545: 67\u201395","journal-title":"J Reine Angew Math"},{"key":"9019_CR5","unstructured":"Doshi V (2005) Explicit permutation codes for the slow fading parallel channel. BS Thesis, ECE Dept., University of Illinois at Urbana-Champaign"},{"key":"9019_CR6","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1023\/B:DESI.0000032606.11770.89","volume":"33","author":"ST Dougherty","year":"2004","unstructured":"Dougherty ST, Shiromoto K (2004) Maximum distance codes in $${\\rm Mat}_{n,s}(\\mathbb {Z}_k)$$ with a non-Hamming metric and uniform distributions. Des Codes Cryptogr 33: 45\u201361","journal-title":"Des Codes Cryptogr"},{"key":"9019_CR7","first-page":"83","volume":"2","author":"ST Dougherty","year":"2002","unstructured":"Dougherty ST, Skriganov MM (2002) MacWilliams duality and the Rosenbloom-Tsfasman metric. Mosc Math J 2: 83\u201399","journal-title":"Mosc Math J"},{"key":"9019_CR8","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1023\/A:1020834531372","volume":"16","author":"ST Dougherty","year":"2002","unstructured":"Dougherty ST, Skriganov MM (2002) Maximum distance separable codes in the \u03c1 metric over arbitrary alphabets. J Algebraic Combin 16: 71\u201381","journal-title":"J Algebraic Combin"},{"issue":"10","key":"9019_CR9","doi-asserted-by":"crossref","first-page":"589","DOI":"10.2307\/2304500","volume":"54","author":"NJ Fine","year":"1947","unstructured":"Fine NJ (1947) Binomial coefficients modulo a prime. Amer Math Monthly 54(10): 589\u2013592 [part 1]","journal-title":"Amer Math Monthly"},{"key":"9019_CR10","unstructured":"Ganesan A Boston N (2005) Universally decodable matrices. In: Proceedings of the 43rd Allerton Conf. on Communications, Control, and Computing. Allerton House, Monticello, IL USA, 28\u201330 September 2005"},{"key":"9019_CR11","unstructured":"Ganesan A, Vontobel PO (2006) On the existence of universally decodable matrices, Submitted to IEEE Trans Inform Theory, available online under http:\/\/www.arxiv.org\/abs\/cs.IT\/0601066+\u00a0"},{"key":"9019_CR12","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1515\/crll.1936.175.50","volume":"175","author":"H Hasse","year":"1936","unstructured":"Hasse H (1936) Theorie der h\u00f6heren Differentiale in einem algebraischen Funktionenk\u00f6rper mit vollkommenem Konstantenk\u00f6rper bei beliebiger Charakteristik. J Reine Ang Math 175: 50\u201354","journal-title":"J Reine Ang Math"},{"issue":"6","key":"9019_CR13","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1016\/S0195-6698(03)00077-5","volume":"24","author":"K Lee","year":"2003","unstructured":"Lee K (2003) The automorphism group of a linear space with the Rosenbloom-Tsfasman metric. Eur J Combin 24(6): 607\u2013612","journal-title":"Eur J Combin"},{"key":"9019_CR14","volume-title":"The theory of error-correcting codes","author":"FJ MacWilliams","year":"1977","unstructured":"MacWilliams FJ, Sloane NJA (1977) The theory of error-correcting codes. North-Holland, New York"},{"issue":"2","key":"9019_CR15","doi-asserted-by":"crossref","first-page":"326","DOI":"10.4153\/CJM-1999-017-5","volume":"51","author":"WJ Martin","year":"1999","unstructured":"Martin WJ, Stinson DR (1999) Association schemes for ordered orthogonal arrays and (T,M,S)-nets. Can J Math 51(2): 326\u2013346","journal-title":"Can J Math"},{"issue":"6","key":"9019_CR16","doi-asserted-by":"crossref","first-page":"1736","DOI":"10.1109\/18.104351","volume":"37","author":"R Morelos-Zaragoza","year":"1991","unstructured":"Morelos-Zaragoza R (1991) A note on repeated-root cyclic codes. IEEE Trans Inform Theory IT\u201337(6): 1736\u20131737","journal-title":"IEEE Trans Inform Theory IT\u2013"},{"issue":"4","key":"9019_CR17","doi-asserted-by":"crossref","first-page":"1564","DOI":"10.1109\/18.850696","volume":"46","author":"RR Nielsen","year":"2000","unstructured":"Nielsen RR (2000) A class of Sudan-decodable codes. IEEE Trans Inform Theory IT\u201346(4): 1564\u20131572","journal-title":"IEEE Trans Inform Theory IT"},{"issue":"1","key":"9019_CR18","first-page":"45","volume":"33","author":"MA RosenbloomMY Tsfasman","year":"1997","unstructured":"Rosenbloom MY Tsfasman MA (1997) Codes for the m-metric. Probl Inform Transm 33(1): 45\u201352","journal-title":"Probl Inform Transm"},{"issue":"2","key":"9019_CR19","first-page":"191","volume":"13","author":"MM Skriganov","year":"2001","unstructured":"Skriganov MM (2001) Coding theory and uniform distributions. Algebra i Analiz 13(2): 191\u2013239","journal-title":"Algebra i Analiz"},{"key":"9019_CR20","volume-title":"Mathematics of physics and modern engineering","author":"IS Sokolnikoff","year":"1966","unstructured":"Sokolnikoff IS, Redheffer RM (1966) Mathematics of physics and modern engineering, 2nd edn. McGraw-Hill Book Co., New York","edition":"2"},{"key":"9019_CR21","volume-title":"Algebraic function fields and codes","author":"H Stichtenoth","year":"1993","unstructured":"Stichtenoth H (1993) Algebraic function fields and codes. Universitext, Springer-Verlag, Berlin"},{"issue":"7","key":"9019_CR22","doi-asserted-by":"crossref","first-page":"3233","DOI":"10.1109\/TIT.2006.876226","volume":"52","author":"S Tavildar","year":"2006","unstructured":"Tavildar S, Viswanath P (2006) Approximately universal codes over slow-fading channels. IEEE Trans Inform Theory IT\u201352(7): 3233\u20133258","journal-title":"IEEE Trans Inform Theory IT"},{"key":"9019_CR23","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511807213","volume-title":"Fundamentals of wireless communication","author":"D Tse","year":"2005","unstructured":"Tse D, Viswanath P (2005) Fundamentals of wireless communication. Cambridge University Press, Cambridge, UK"},{"key":"9019_CR24","unstructured":"van der Geer G van der Vlugt M (2006) Table of curves with many points (version of January 28, 2006), available online under http:\/\/www.science.uva.nl\/geer\/tables-mathcomp17.pdf"},{"issue":"2","key":"9019_CR25","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1109\/18.75250","volume":"37","author":"JH Lint van","year":"1991","unstructured":"van Lint JH (1991) Repeated-root cyclic codes. IEEE Trans Inform Theory 37(2): 343\u2013345","journal-title":"IEEE Trans Inform Theory"},{"key":"9019_CR26","unstructured":"Vontobel PO, Ganesan A (2005) An explicit construction of universally decodable matrices, Technical report, August 2005, available online under http:\/\/www.arxiv.org\/abs\/cs.IT\/0508098"},{"key":"9019_CR27","unstructured":"Vontobel PO, Ganesan A (2005) On universally decodable matrices for space-time coding. In: Proceedings of the Inaugural Workshop of the Center for Information Theory and its Applications (UC San Diego, La Jolla, CA, USA), 6-10 February 2006, available online under http:\/\/www. arxiv.org\/abs\/cs.IT\/0601075v1"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-006-9019-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-006-9019-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-006-9019-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T23:20:00Z","timestamp":1707348000000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-006-9019-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,11,1]]},"references-count":27,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2006,11,27]]}},"alternative-id":["9019"],"URL":"https:\/\/doi.org\/10.1007\/s10623-006-9019-4","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,11,1]]}}}