{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T15:58:48Z","timestamp":1725551928735},"publisher-location":"Berlin, Heidelberg","reference-count":13,"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_7","type":"book-chapter","created":{"date-parts":[[2006,1,12]],"date-time":"2006-01-12T12:27:38Z","timestamp":1137068858000},"page":"76-86","source":"Crossref","is-referenced-by-count":5,"title":["A General Framework for Applying FGLM Techniques to Linear Codes"],"prefix":"10.1007","author":[{"given":"M.","family":"Borges-Quintana","sequence":"first","affiliation":[]},{"given":"M. A.","family":"Borges-Trenard","sequence":"additional","affiliation":[]},{"given":"E.","family":"Mart\u00ednez-Moro","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"1","key":"7_CR1","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.jsc.2004.09.001","volume":"39","author":"J. Abbott","year":"2005","unstructured":"Abbott, J., Kreuzer, M., Robiano, L.: Computing Zero-Dimensional Schemes. J. Symb. Comp.\u00a039(1), 31\u201349 (2005)","journal-title":"J. Symb. Comp."},{"key":"7_CR2","doi-asserted-by":"crossref","unstructured":"Adams, W.W., Loustaunau, P.: An introduction to Gr\u00f6bner bases. Graduate Studies in Mathematics, 3. American Mathematical Society, Providence (1994)","DOI":"10.1090\/gsm\/003"},{"issue":"2","key":"7_CR3","doi-asserted-by":"publisher","first-page":"783","DOI":"10.1081\/AGB-120017343","volume":"31","author":"M.E. Alonso","year":"2003","unstructured":"Alonso, M.E., Marinari, M.G., Mora, T.: The Big Mother of all Dualities: M\u00f6ller Algorithm. Comm. Algebra\u00a031(2), 783\u2013818 (2003)","journal-title":"Comm. Algebra"},{"issue":"4","key":"7_CR4","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1006\/jsco.1999.0415","volume":"30","author":"M.A. Borges-Trenard","year":"2000","unstructured":"Borges-Trenard, M.A., Borges-Quintana, M., Mora, T.: Computing Gr\u00f6bner bases by FGLM techniques in a non-commutative setting. J. Symb. Comp.\u00a030(4), 429\u2013449 (2000)","journal-title":"J. Symb. Comp."},{"key":"7_CR5","unstructured":"Borges-Quintana, M., Borges-Trenard, M., Mart\u00ednez-Moro, E.: On a Gr\u00f6bner bases structure associated to linear codes. Submitted to J. Discrete Math. Sci. Cryptogr. (Arxiv Preprint), http:\/\/arxiv.org\/abs\/math.AC\/0506045"},{"key":"7_CR6","unstructured":"Borges-Quintana, M., Borges-Trenard, M., Fitzpatrick, P., Mart\u00ednez-Moro, E.: Gr\u00f6bner bases and combinatorics for binary codes. Submitted to Appl. Algebra Engrg. Comm. Comput. (2005)"},{"key":"7_CR7","unstructured":"Borges-Quintana, M., Winkler, F., Borges-Trenard, M.: FGLM Techniques Applied to Linear Codes \u2013 An Algorithm for Decoding Linear Codes. Techn. Rep., RISC-Linz, RISC - 00-14, J. Kepler Univ., Linz, Austria (2000)"},{"key":"7_CR8","doi-asserted-by":"publisher","first-page":"374","DOI":"10.1007\/BF01844169","volume":"4","author":"B. Buchberger","year":"1970","unstructured":"Buchberger, B.: An Algorithmic Criterion for the Solvability of a System of Algebraic Equations (German). Aequationes Mathematicae\u00a04, 374\u2013383 (1970); English translation in [10]","journal-title":"Aequationes Mathematicae"},{"key":"7_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1007\/978-3-7091-3406-1","volume-title":"Computer Algebra","author":"B. Buchberger","year":"1982","unstructured":"Buchberger, B., M\u00f6ller, H.M.: The construction of Multivariate Polynomials with Preassigned Zeros. In: Calmet, J. (ed.) ISSAC 1982 and EUROCAM 1982. LNCS, vol.\u00a0144, pp. 24\u201331. Springer, Heidelberg (1982)"},{"key":"7_CR10","doi-asserted-by":"crossref","unstructured":"Buchberger, B., Winkler, F. (eds.): Gr\u00f6bner Bases and Applications. In: Proc. of the Conference 33 Years of Gr\u00f6bner Bases. London Mathematical Society Lecture Notes Series 251, C.U.P. (1998)","DOI":"10.1017\/CBO9780511565847"},{"issue":"4","key":"7_CR11","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1006\/jsco.1993.1051","volume":"16","author":"J. Faug\u00e8re","year":"1993","unstructured":"Faug\u00e8re, J., Gianni, P., Lazard, D., Mora, T.: Efficient Computation of Zero-Dimensional Gr\u00f6bner Bases by Change of Ordering. J. Symb. Comp.\u00a016(4), 329\u2013344 (1993)","journal-title":"J. Symb. Comp."},{"issue":"2","key":"7_CR12","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1007\/BF01386834","volume":"4","author":"M.G. Marinari","year":"1993","unstructured":"Marinari, M.G., M\u00f6ller, H.M., Mora, T.: Gr\u00f6bner Bases of Ideals Defined by Functionals with an Application to Ideals of Projective Points. Appl. Algebra Engrg. Comm. Comput.\u00a04(2), 103\u2013145 (1993)","journal-title":"Appl. Algebra Engrg. Comm. Comput."},{"key":"7_CR13","doi-asserted-by":"crossref","unstructured":"Mora, T.: Solving Polynomial Equation Systems II: Macaulay\u2019s Paradigm and Gr\u00f6bner Technology. Encyclopedia of Maths. and its Applications 99. C.U.P. (2005)","DOI":"10.1017\/CBO9781107340954"}],"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_7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:11:57Z","timestamp":1619507517000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11617983_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540314233","9783540314240"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/11617983_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}