{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T04:59:40Z","timestamp":1725857980463},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319335056"},{"type":"electronic","value":"9783319335070"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-33507-0_3","type":"book-chapter","created":{"date-parts":[[2016,6,13]],"date-time":"2016-06-13T13:57:45Z","timestamp":1465826265000},"page":"87-105","source":"Crossref","is-referenced-by-count":0,"title":["Vandermonde Nets and Vandermonde Sequences"],"prefix":"10.1007","author":[{"given":"Roswitha","family":"Hofer","sequence":"first","affiliation":[]},{"given":"Harald","family":"Niederreiter","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,6,14]]},"reference":[{"key":"3_CR1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511761188","volume-title":"Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration","author":"J Dick","year":"2010","unstructured":"Dick, J., Pillichshammer, F.: Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration. Cambridge University Press, Cambridge (2010)"},{"key":"3_CR2","doi-asserted-by":"crossref","first-page":"337","DOI":"10.4064\/aa-41-4-337-351","volume":"41","author":"H Faure","year":"1982","unstructured":"Faure, H.: Discr\u00e9pance de suites associ\u00e9es \u00e0 un syst\u00e8me de num\u00e9ration (en dimension $$s$$ s ). Acta Arith. 41, 337\u2013351 (1982)","journal-title":"Acta Arith."},{"key":"3_CR3","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/s00605-012-0470-1","volume":"172","author":"H Faure","year":"2013","unstructured":"Faure, H., Kritzer, P.: New star discrepancy bounds for $$(t, m, s)$$ ( t , m , s ) -nets and $$(t, s)$$ ( t , s ) -sequences. Monatsh. Math. 172, 55\u201375 (2013)","journal-title":"Monatsh. Math."},{"key":"3_CR4","unstructured":"Hofer, R., Niederreiter, H.: Explicit constructions of Vandermonde sequences using global function fields, preprint available at http:\/\/arxiv.org\/abs\/1311.5739"},{"key":"3_CR5","doi-asserted-by":"crossref","first-page":"145","DOI":"10.4064\/aa163-2-5","volume":"163","author":"R Hofer","year":"2014","unstructured":"Hofer, R., Niederreiter, H.: Vandermonde nets. Acta Arith. 163, 145\u2013160 (2014)","journal-title":"Acta Arith."},{"key":"3_CR6","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1016\/j.jco.2005.10.004","volume":"22","author":"P Kritzer","year":"2006","unstructured":"Kritzer, P.: Improved upper bounds on the star discrepancy of $$(t, m, s)$$ ( t , m , s ) -nets and $$(t, s)$$ ( t , s ) -sequences. J. Complex. 22, 336\u2013347 (2006)","journal-title":"J. Complex."},{"key":"3_CR7","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/BF01294651","volume":"104","author":"H Niederreiter","year":"1987","unstructured":"Niederreiter, H.: Point sets and sequences with small discrepancy. Monatsh. Math. 104, 273\u2013337 (1987)","journal-title":"Monatsh. Math."},{"key":"3_CR8","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970081","volume-title":"Random Number Generation and Quasi-Monte Carlo Methods","author":"H Niederreiter","year":"1992","unstructured":"Niederreiter, H.: Random Number Generation and Quasi-Monte Carlo Methods. SIAM, Philadelphia (1992)"},{"key":"3_CR9","first-page":"619","volume-title":"Handbook of Finite Fields","author":"H Niederreiter","year":"2013","unstructured":"Niederreiter, H.: $$(t,m,s)$$ ( t , m , s ) -nets and $$(t,s)$$ ( t , s ) -sequences. In: Mullen, G.L., Panario, D. (eds.) Handbook of Finite Fields, pp. 619\u2013630. CRC Press, Boca Raton (2013)"},{"key":"3_CR10","doi-asserted-by":"crossref","unstructured":"Niederreiter, H.: Finite fields and quasirandom points. In: Charpin, P., Pott, A., Winterhof, A. (eds.) Finite Fields and Their Applications: Character Sums and Polynomials, pp. 169\u2013196. de Gruyter, Berlin (2013)","DOI":"10.1515\/9783110283600.169"},{"key":"3_CR11","doi-asserted-by":"crossref","first-page":"79","DOI":"10.4064\/aa130-1-5","volume":"130","author":"H Niederreiter","year":"2007","unstructured":"Niederreiter, H., \u00d6zbudak, F.: Low-discrepancy sequences using duality and global function fields. Acta Arith. 130, 79\u201397 (2007)","journal-title":"Acta Arith."},{"key":"3_CR12","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1006\/ffta.1996.0016","volume":"2","author":"H Niederreiter","year":"1996","unstructured":"Niederreiter, H., Xing, C.P.: Low-discrepancy sequences and global function fields with many rational places. Finite Fields Appl. 2, 241\u2013273 (1996)","journal-title":"Finite Fields Appl."},{"key":"3_CR13","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781107325951","volume-title":"Rational Points on Curves over Finite Fields: Theory and Applications","author":"H Niederreiter","year":"2001","unstructured":"Niederreiter, H., Xing, C.P.: Rational Points on Curves over Finite Fields: Theory and Applications. Cambridge University Press, Cambridge (2001)"},{"key":"3_CR14","doi-asserted-by":"crossref","DOI":"10.2307\/j.ctvdtphcs","volume-title":"Algebraic Geometry in Coding Theory and Cryptography","author":"H Niederreiter","year":"2009","unstructured":"Niederreiter, H., Xing, C.P.: Algebraic Geometry in Coding Theory and Cryptography. Princeton University Press, Princeton (2009)"},{"key":"3_CR15","doi-asserted-by":"crossref","unstructured":"Pillichshammer, F.: Polynomial lattice point sets. In: Plaskota, L., Wo\u017aniakowski, H. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 2010, pp. 189\u2013210. Springer, Berlin (2012)","DOI":"10.1007\/978-3-642-27440-4_8"},{"issue":"214","key":"3_CR16","first-page":"133","volume":"II","author":"G Pirsic","year":"2005","unstructured":"Pirsic, G.: A small taxonomy of integration node sets. \u00d6sterreich. Akad. Wiss. Math.-Naturw. Kl. Sitzungsber. II(214), 133\u2013140 (2005)","journal-title":"\u00d6sterreich. Akad. Wiss. Math.-Naturw. Kl. Sitzungsber."},{"key":"3_CR17","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1137\/050622638","volume":"44","author":"G Pirsic","year":"2006","unstructured":"Pirsic, G., Dick, J., Pillichshammer, F.: Cyclic digital nets, hyperplane nets, and multivariate integration in Sobolev spaces. SIAM J. Numer. Anal. 44, 385\u2013411 (2006)","journal-title":"SIAM J. Numer. Anal."},{"key":"3_CR18","doi-asserted-by":"crossref","unstructured":"Sch\u00fcrer, R.: A new lower bound on the $$t$$ t -parameter of $$(t,s)$$ ( t , s ) -sequences. In: Keller, A., Heinrich, S., Niederreiter, H. (eds.)Monte Carlo and Quasi-Monte Carlo Methods 2006, pp. 623\u2013632. Springer, Berlin (2008)","DOI":"10.1007\/978-3-540-74496-2_37"},{"key":"3_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-76878-4","volume-title":"Algebraic Function Fields and Codes","author":"H Stichtenoth","year":"2009","unstructured":"Stichtenoth, H.: Algebraic Function Fields and Codes, 2nd edn. Springer, Berlin (2009)","edition":"2"},{"key":"3_CR20","doi-asserted-by":"crossref","first-page":"87","DOI":"10.4064\/aa-73-1-87-102","volume":"73","author":"CP Xing","year":"1995","unstructured":"Xing, C.P., Niederreiter, H.: A construction of low-discrepancy sequences using global function fields. Acta Arith. 73, 87\u2013102 (1995)","journal-title":"Acta Arith."}],"container-title":["Springer Proceedings in Mathematics & Statistics","Monte Carlo and Quasi-Monte Carlo Methods"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-33507-0_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T17:02:40Z","timestamp":1656694960000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-33507-0_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319335056","9783319335070"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-33507-0_3","relation":{},"ISSN":["2194-1009","2194-1017"],"issn-type":[{"type":"print","value":"2194-1009"},{"type":"electronic","value":"2194-1017"}],"subject":[],"published":{"date-parts":[[2016]]}}}