{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T21:30:49Z","timestamp":1725485449742},"publisher-location":"Berlin, Heidelberg","reference-count":17,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540429111"},{"type":"electronic","value":"9783540456247"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2001]]},"DOI":"10.1007\/3-540-45624-4_14","type":"book-chapter","created":{"date-parts":[[2007,6,2]],"date-time":"2007-06-02T19:23:35Z","timestamp":1180812215000},"page":"129-140","source":"Crossref","is-referenced-by-count":0,"title":["Constructions of Codes from Number Fields"],"prefix":"10.1007","author":[{"given":"Venkatesan","family":"Guruswami","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2001,10,31]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"D. Boneh. Finding Smooth integers in short intervals using CRT decoding. Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, Portland, Ore gon, May 2000, pp. 265\u2013272.","key":"14_CR1","DOI":"10.1145\/335305.335337"},{"key":"14_CR2","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/BF01884295","volume":"121","author":"A. Garcia","year":"1995","unstructured":"A. Garcia and H. Stichtenoth. Atower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound. Invent. Math., 121 (1995), pp. 211\u2013222.","journal-title":"Invent. Math."},{"doi-asserted-by":"crossref","unstructured":"O. Goldreich, D. Ron and M. Sudan. Chinese Remaindering with errors. IEEE Trans. on Information Theory, to appear. Preliminary version appeared in Proc. of the 31st Annual ACM Symposium on Theory of Computing, Atlanta, Geor gia, May 1999, pp. 225\u2013234.","key":"14_CR3","DOI":"10.1145\/301250.301309"},{"key":"14_CR4","first-page":"261","volume":"28","author":"E. S. Golod","year":"1964","unstructured":"E. S. Golod and I. R. \u0160afarevi\u010d. On class field towers. (Russian), Izv. Akad Nauk SSSR,28 (1964), 261\u2013272; (English translation) Amer. Math. Soc. Transl. Ser 2,48 (1965), pp. 91\u2013102.","journal-title":"On class field towers. (Russian), Izv. Akad Nauk SSSR"},{"key":"14_CR5","doi-asserted-by":"publisher","first-page":"1757","DOI":"10.1109\/18.782097","volume":"45","author":"V. Guruswami","year":"1999","unstructured":"V. Guruswami and M. Sudan. Improved decoding of Reed-Solomon and Algebraic-geometric codes. IEEE Trans. on Information Theory, 45 (1999), pp. 1757\u20131767.","journal-title":"IEEE Trans. on Information Theory"},{"doi-asserted-by":"crossref","unstructured":"V. Guruswami, A. Sahai and M. Sudan. \u201cSoft-decision\u201d decoding of Chinese Remainder codes. Proceedings of the 41st IEEE Symposium on Foundationsof Computer Science (FOCS), Redondo Beach, California, November 12\u201314, 2000.","key":"14_CR6","DOI":"10.1109\/SFCS.2000.892076"},{"key":"14_CR7","doi-asserted-by":"publisher","first-page":"693","DOI":"10.2969\/jmsj\/03540693","volume":"35","author":"Y. Ihara","year":"1983","unstructured":"Y. Ihara. How many primes decompose completely in an infinite unramified Galois extension of a global field? J. Math. Soc. Japan, 35 (1983), pp. 693\u2013709.","journal-title":"J. Math. Soc. Japan"},{"unstructured":"H. W. Lenstra. Codes from algebraic number fields. In: M. Hazewinkel, J.K. Lenstra, L.G.L.T. Meertens (eds), Mathematics and computer science II, Fundamental contributions in the Netherlands since 1945,CWI Monograph 4, pp. 95\u2013104, North-Holland, Amsterdam, 1986.","key":"14_CR8"},{"key":"14_CR9","doi-asserted-by":"crossref","first-page":"47","DOI":"10.5802\/jtnb.156","volume":"8","author":"C. Maire","year":"1996","unstructured":"C. Maire. Finitude de tours et p-pours T-ramifi\u00e9es moder\u00e9es, S-d\u00e9compos\u00e9es. J. de Th\u00e9orie des Nombres de Bordeaux, 8 (1996), pp. 47\u201373.","journal-title":"J. de Th\u00e9orie des Nombres de Bordeaux"},{"unstructured":"B. A. Marcus. Number Fields. Universitext,Springer-Verlag.","key":"14_CR10"},{"doi-asserted-by":"crossref","unstructured":"J. Neukirch. Algebraic Number Theory. Grundlehren der mathematischen Wissenschaften, Volume 322, Springer-Verlag, 1999.","key":"14_CR11","DOI":"10.1007\/978-3-662-03983-0"},{"doi-asserted-by":"crossref","unstructured":"A. M. Odlyzko. Bounds for discriminants and related estimates for class numbers,re gulators and zeros of zeta functions: a survey of recent results. S\u00e9minaire de Th\u00e9orie des Nombres, Bordeaux, pp. 1\u201315, 1989.","key":"14_CR12","DOI":"10.5802\/jtnb.22"},{"unstructured":"P. Roquette. On class field towers. In: Algebraic Number Theory (Eds. J.W.S. Cassels, A. Fr\u00f6lich). Acad. Press, 1967, pp. 231\u2013249.","key":"14_CR13"},{"issue":"2","key":"14_CR14","doi-asserted-by":"publisher","first-page":"432","DOI":"10.1109\/18.748993","volume":"45","author":"M. A. Shokrollahi","year":"1999","unstructured":"M. A. Shokrollahi and H. Wasserman. List decoding of algebraic-geometric codes. IEEE Trans. on Information Theory, Vol. 45, No. 2, March 1999, pp. 432\u2013437.","journal-title":"IEEE Trans. on Information Theory"},{"key":"14_CR15","first-page":"373","volume":"198","author":"M. A. Tsfasman","year":"1992","unstructured":"M. A. Tsfasman. Global fields,codes and sphere packings. Journees Arithmetiques 1989,-\u201cAsterisque\u201d, 1992,v.198\u2013199\u2013200, pp.373\u2013396.","journal-title":"Journees Arithmetiques 1989,-\u201cAsterisque\u201d"},{"unstructured":"M. A. Tsfasman and S. G. Vl\u0103dut. Asymptotic properties of global fields and generalized Brauer-Siegel Theorem. Preprint IML-98-35 (Marseille), 1998","key":"14_CR16"},{"key":"14_CR17","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1002\/mana.19821090103","volume":"109","author":"M. A. Tsfasman","year":"1982","unstructured":"M. A. Tsfasman, S. G. Vl\u0103dut and T. Zink. Modular curves, Shimura curves, and codes better than the Varshamov-Gilbert bound. Math. Nachrichten, 109:21\u201328, 1982.","journal-title":"Math. Nachrichten"}],"container-title":["Lecture Notes in Computer Science","Applied Algebra, Algebraic Algorithms and Error-Correcting Codes"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-45624-4_14","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T12:30:54Z","timestamp":1556454654000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-45624-4_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001]]},"ISBN":["9783540429111","9783540456247"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/3-540-45624-4_14","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2001]]}}}