{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T15:58:46Z","timestamp":1725551926159},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540314233"},{"type":"electronic","value":"9783540314240"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11617983_10","type":"book-chapter","created":{"date-parts":[[2006,1,12]],"date-time":"2006-01-12T07:27:38Z","timestamp":1137050858000},"page":"108-117","source":"Crossref","is-referenced-by-count":0,"title":["On Constructing AG Codes Without Basis Functions for Riemann-Roch Spaces"],"prefix":"10.1007","author":[{"given":"Drue","family":"Coles","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"10_CR1","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1112\/plms\/s3-5.4.407","volume":"5","author":"M. Atiyah","year":"1955","unstructured":"Atiyah, M.: Complex fibre bundles and ruled surfaces. Proc. London Math. Soc.\u00a05, 407\u2013434 (1955)","journal-title":"Proc. London Math. Soc."},{"key":"10_CR2","doi-asserted-by":"crossref","first-page":"429","DOI":"10.4310\/jdg\/1214448083","volume":"35","author":"A. Bertram","year":"1992","unstructured":"Bertram, A.: Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space. Journal of Diff. Geometry\u00a035, 429\u2013469 (1992)","journal-title":"Journal of Diff. Geometry"},{"key":"10_CR3","series-title":"Courant Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1090\/cln\/008","volume-title":"Algebraic Curves and One-Dimensional Fields","author":"F. Bogomolov","year":"2002","unstructured":"Bogomolov, F., Petrov, T.: Algebraic Curves and One-Dimensional Fields. Courant Lecture Notes in Mathematics. Amer. Math. Soc., Providence (2002)"},{"issue":"6","key":"10_CR4","doi-asserted-by":"publisher","first-page":"2113","DOI":"10.1109\/TIT.2005.847730","volume":"51","author":"D. Coles","year":"2005","unstructured":"Coles, D.: Vector Bundles and Codes on the Hermitian Curve. IEEE Trans. Inf. Theory\u00a051(6), 2113\u20132120 (2005)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10_CR5","first-page":"170","volume":"24","author":"V.D. Goppa","year":"1981","unstructured":"Goppa, V.D.: Codes on algebraic curves. Soviet Math. Dokl.\u00a024, 170\u2013172 (1981)","journal-title":"Soviet Math. Dokl."},{"key":"10_CR6","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/BF01884295","volume":"121","author":"A. Garcia","year":"1995","unstructured":"Garcia, A., Stichtenoth, H.: A Tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vl\u01cedu\u0163 bound. Invent. Math.\u00a0121, 211\u2013222 (1995)","journal-title":"Invent. Math."},{"key":"10_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3849-0","volume-title":"Algebraic Geometry","author":"R. Hartshorne","year":"1977","unstructured":"Hartshorne, R.: Algebraic Geometry. Springer, New York (1977)"},{"issue":"6","key":"10_CR8","doi-asserted-by":"publisher","first-page":"1589","DOI":"10.1109\/18.476214","volume":"41","author":"T. H\u00f8holdt","year":"1995","unstructured":"H\u00f8holdt, T., Pellikaan, R.: On the decoding of algebraic-geometric codes. IEEE Trans. Inf. Theory\u00a041(6), 1589\u20131614 (1995)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"1","key":"10_CR9","first-page":"33","volume":"4","author":"T. Johnsen","year":"2003","unstructured":"Johnsen, T.: Rank two bundles on Algebraic Curves and decoding of Goppa Codes. International Journal of Pure and Applied Mathematics\u00a04(1), 33\u201345 (2003)","journal-title":"International Journal of Pure and Applied Mathematics"},{"key":"10_CR10","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/BF01458704","volume":"266","author":"H. Lange","year":"1983","unstructured":"Lange, H., Narasimhan, M.S.: Maximal Subbundles of Rank Two Vector Bundles on Curves. Math. Ann.\u00a0266, 55\u201372 (1983)","journal-title":"Math. Ann."},{"key":"10_CR11","volume-title":"Codes and Algebraic Curves","author":"O. Pretzel","year":"1998","unstructured":"Pretzel, O.: Codes and Algebraic Curves. Oxford University Press, Oxford (1998)"},{"key":"10_CR12","volume-title":"Basic Algebraic Geometry 1-2","author":"I.R. Shararevich","year":"1994","unstructured":"Shararevich, I.R.: Basic Algebraic Geometry 1-2, 2nd edn. Springer, New York (1994); Translated by Reid, M","edition":"2"},{"issue":"6","key":"10_CR13","doi-asserted-by":"publisher","first-page":"2225","DOI":"10.1109\/18.945244","volume":"47","author":"K.W. Shum","year":"2001","unstructured":"Shum, K.W., Aleshnikov, I., Kumar, P.V., Stichtenoth, H., Deolalikar, V.: A Low-Complexity Algorithm for the Construction of Algebraic-Geometric Codes Better Than the Gilbert-Varshamov Bound. IEEE Trans. Inf. Theory\u00a047(6), 2225\u20132241 (2001)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10_CR14","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1035-1","volume-title":"Algebraic Groups and Class Fields","author":"J.-P. Serre","year":"1988","unstructured":"Serre, J.-P.: Algebraic Groups and Class Fields. Springer, New York (1988)"},{"key":"10_CR15","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1002\/mana.19821090103","volume":"109","author":"M.A. Tsfasman","year":"1982","unstructured":"Tsfasman, M.A., Vl\u01cedu\u0163, S.G., Zink, T.: Modular curves, Shimura curves and Goppa codes better than the Varshamov-Gilbert bound. Mathematische Nachrichten\u00a0109, 21\u201328 (1982)","journal-title":"Mathematische 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\/11617983_10.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T03:11:44Z","timestamp":1619493104000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11617983_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540314233","9783540314240"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/11617983_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}