{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T20:52:34Z","timestamp":1770151954733,"version":"3.49.0"},"publisher-location":"New York, NY, USA","reference-count":20,"publisher":"ACM","license":[{"start":{"date-parts":[[2011,6,8]],"date-time":"2011-06-08T00:00:00Z","timestamp":1307491200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2011,6,8]]},"DOI":"10.1145\/1993886.1993902","type":"proceedings-article","created":{"date-parts":[[2011,6,14]],"date-time":"2011-06-14T14:45:32Z","timestamp":1308062732000},"page":"67-74","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":6,"title":["Linear algebra to compute syzygies and Gr\u00f6bner bases"],"prefix":"10.1145","author":[{"given":"Daniel","family":"Cabarcas","sequence":"first","affiliation":[{"name":"University of Cincinnati, Cincinnati, OH, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jintai","family":"Ding","sequence":"additional","affiliation":[{"name":"University of Cincinnati, Cincinnati, OH, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2011,6,8]]},"reference":[{"key":"e_1_3_2_1_1_1","volume-title":"Universit\u00e9 Paris VI","author":"Bardet M.","year":"2004"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"e_1_3_2_1_3_1","unstructured":"B. Buchberger. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal (An Algorithm for Finding the Basis Elements in the Residue Class Ring Modulo a Zero Dimensional Polynomial Ideal). PhD thesis Mathematical Institute University of Innsbruck Austria 1965. (English translation in Journal of Symbolic Computation 2004).  B. Buchberger. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal (An Algorithm for Finding the Basis Elements in the Residue Class Ring Modulo a Zero Dimensional Polynomial Ideal). PhD thesis Mathematical Institute University of Innsbruck Austria 1965. (English translation in Journal of Symbolic Computation 2004)."},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.5555\/646670.699008"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-12678-9_5"},{"key":"e_1_3_2_1_6_1","volume-title":"University of Cincinnati","author":"Cabarcas D.","year":"2010"},{"key":"e_1_3_2_1_7_1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1007\/3-540-45539-6_27","volume-title":"Advances in Cryptology - EUROCRYPT","author":"Courtois N.","year":"2000"},{"key":"e_1_3_2_1_8_1","first-page":"16","volume-title":"Weinmann. MutantXL. In Proceedings of the First International Conference on Symbolic Computation and Cryptography (SCC08)","author":"Ding J.","year":"2008"},{"key":"e_1_3_2_1_9_1","unstructured":"C. Eder and J. Perry. Singular Implementation of Faug\u00e8re's F5 Algorithm. Available online at http:\/\/www.math.usm.edu\/perry\/Research\/f5 library.lib. v 1.1 2009\/01\/26.  C. Eder and J. Perry. Singular Implementation of Faug\u00e8re's F5 Algorithm. Available online at http:\/\/www.math.usm.edu\/perry\/Research\/f5 library.lib. v 1.1 2009\/01\/26."},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2010.06.019"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(99)00005-5"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/780506.780516"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/1837934.1837944"},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(88)80048-8"},{"key":"e_1_3_2_1_15_1","first-page":"146","volume-title":"Gaussian Elimination and Resolution of Systems of Algebraic Equations. In EUROCAL '83: Proceedings of the European Computer Algebra Conference on Computer Algebra","author":"Lazard D.","year":"1983"},{"key":"e_1_3_2_1_16_1","volume-title":"Proceedings of The 12th International Conference on Information Security and Cryptology, (ICISC 2009","author":"Mohamed M. S. E.","year":"2009"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-88403-3_14"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/143242.143343"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.5555\/1754495.1754501"},{"key":"e_1_3_2_1_20_1","unstructured":"T. Stegers. Faug\u00e8re's F5 Algorithm Revisited. PhD thesis Technische Universitat Darmstadt 2005.  T. Stegers. Faug\u00e8re's F5 Algorithm Revisited. PhD thesis Technische Universitat Darmstadt 2005."}],"event":{"name":"ISSAC '11: International Symposium on Symbolic and Algebraic Computation","location":"San Jose California USA","acronym":"ISSAC '11","sponsor":["SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"]},"container-title":["Proceedings of the 36th international symposium on Symbolic and algebraic computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1993886.1993902","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1993886.1993902","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T11:05:52Z","timestamp":1750244752000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1993886.1993902"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6,8]]},"references-count":20,"alternative-id":["10.1145\/1993886.1993902","10.1145\/1993886"],"URL":"https:\/\/doi.org\/10.1145\/1993886.1993902","relation":{},"subject":[],"published":{"date-parts":[[2011,6,8]]},"assertion":[{"value":"2011-06-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}