{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T17:56:13Z","timestamp":1725558973153},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540260844"},{"type":"electronic","value":"9783540320487"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11423461_19","type":"book-chapter","created":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T12:48:36Z","timestamp":1279025316000},"page":"266-274","source":"Crossref","is-referenced-by-count":5,"title":["On the Distribution of Some New Explicit Nonlinear Congruential Pseudorandom Numbers"],"prefix":"10.1007","author":[{"given":"Harald","family":"Niederreiter","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arne","family":"Winterhof","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"19_CR1","volume-title":"Theory and Practice of Error Control Codes","author":"R.E. Blahut","year":"1983","unstructured":"Blahut, R.E.: Theory and Practice of Error Control Codes. Addison-Wesley, Reading (1983)"},{"key":"19_CR2","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/0022-314X(87)90045-X","volume":"27","author":"T. Cochrane","year":"1987","unstructured":"Cochrane, T.: On a trigonometric inequality of Vinogradov. J. Number Theory\u00a027, 9\u201316 (1987)","journal-title":"J. Number Theory"},{"key":"19_CR3","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1007\/s00200-003-0116-6","volume":"13","author":"G. Dorfer","year":"2003","unstructured":"Dorfer, G., Winterhof, A.: Lattice structure and linear complexity profile of nonlinear pseudorandom number generators. Appl. Algebra Engrg. Comm. Comput.\u00a013, 499\u2013508 (2003)","journal-title":"Appl. Algebra Engrg. Comm. Comput."},{"key":"19_CR4","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/978-3-642-18743-8_11","volume-title":"Monte Carlo and Quasi-Monte Carlo Methods 2002","author":"G. Dorfer","year":"2004","unstructured":"Dorfer, G., Winterhof, A.: Lattice structure of nonlinear pseudorandom number generators in parts of the period. In: Niederreiter, H. (ed.) Monte Carlo and Quasi-Monte Carlo Methods 2002, pp. 199\u2013211. Springer, Berlin (2004)"},{"key":"19_CR5","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1090\/S0025-5718-1993-1159168-9","volume":"60","author":"J. Eichenauer-Herrmann","year":"1993","unstructured":"Eichenauer-Herrmann, J.: Statistical independence of a new class of inversive congruential pseudorandom numbers. Math. Comp.\u00a060, 375\u2013384 (1993)","journal-title":"Math. Comp."},{"key":"19_CR6","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1007\/s006050050004","volume":"129","author":"J. Gutierrez","year":"2000","unstructured":"Gutierrez, J., Niederreiter, H., Shparlinski, I.: On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period. Monatsh. Math.\u00a0129, 31\u201336 (2000)","journal-title":"Monatsh. Math."},{"key":"19_CR7","unstructured":"Jungnickel, D.: Finite Fields: Structure and Arithmetics. Bibliographisches Institut, Mannheim (1993)"},{"key":"19_CR8","volume-title":"Finite Fields","author":"R. Lidl","year":"1997","unstructured":"Lidl, R., Niederreiter, H.: Finite Fields. Cambridge University Press, Cambridge (1997)"},{"key":"19_CR9","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/B978-0-12-775950-0.50013-3","volume-title":"Applications of Number Theory to Numerical Analysis","author":"G. Marsaglia","year":"1972","unstructured":"Marsaglia, G.: The structure of linear congruential sequences. In: Zaremba, S.K. (ed.) Applications of Number Theory to Numerical Analysis, pp. 249\u2013285. Academic Press, New York (1972)"},{"key":"19_CR10","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/j.jco.2003.08.017","volume":"20","author":"W. Meidl","year":"2004","unstructured":"Meidl, W., Winterhof, A.: On the linear complexity profile of some new explicit inversive pseudorandom numbers. J. Complexity\u00a020, 350\u2013355 (2004)","journal-title":"J. Complexity"},{"key":"19_CR11","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1093\/qmath\/os-3.1.161","volume":"3","author":"L.J. Mordell","year":"1932","unstructured":"Mordell, L.J.: On a sum analogous to a Gauss\u2019s sum. Quart. J. Math.\u00a03, 161\u2013167 (1932)","journal-title":"Quart. J. Math."},{"key":"19_CR12","first-page":"523","volume":"111","author":"C.J. Moreno","year":"1991","unstructured":"Moreno, C.J., Moreno, O.: Exponential sums and Goppa codes: I. Proc. Amer. Math. Soc.\u00a0111, 523\u2013531 (1991)","journal-title":"Proc. Amer. Math. Soc."},{"key":"19_CR13","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1007\/BF01298835","volume":"106","author":"H. Niederreiter","year":"1988","unstructured":"Niederreiter, H.: Statistical independence of nonlinear congruential pseudorandom numbers. Monatsh. Math.\u00a0106, 149\u2013159 (1988)","journal-title":"Monatsh. Math."},{"key":"19_CR14","doi-asserted-by":"crossref","unstructured":"Niederreiter, H.: Random Number Generation and Quasi-Monte Carlo Methods. SIAM, Philadelphia (1992)","DOI":"10.1137\/1.9781611970081"},{"key":"19_CR15","doi-asserted-by":"publisher","first-page":"246","DOI":"10.1006\/ffta.1999.0257","volume":"5","author":"H. Niederreiter","year":"1999","unstructured":"Niederreiter, H., Shparlinski, I.: On the distribution and lattice structure of nonlinear congruential pseudorandom numbers. Finite Fields Appl.\u00a05, 246\u2013253 (1999)","journal-title":"Finite Fields Appl."},{"key":"19_CR16","doi-asserted-by":"crossref","first-page":"387","DOI":"10.4064\/aa-93-4-387-399","volume":"93","author":"H. Niederreiter","year":"2000","unstructured":"Niederreiter, H., Winterhof, A.: Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators. Acta Arith.\u00a093, 387\u2013399 (2000)","journal-title":"Acta Arith."},{"key":"19_CR17","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/s002000200105","volume":"13","author":"H. Niederreiter","year":"2002","unstructured":"Niederreiter, H., Winterhof, A.: Lattice structure and linear complexity of nonlinear pseudorandom numbers. Appl. Algebra Engrg. Comm. Comput.\u00a013, 319\u2013326 (2002)","journal-title":"Appl. Algebra Engrg. Comm. Comput."},{"key":"19_CR18","first-page":"373","volume":"5","author":"G.I. Perel\u2019muter","year":"1969","unstructured":"Perel\u2019muter, G.I.: Estimate of a sum along an algebraic curve (Russian). Mat. Zametki\u00a05, 373\u2013380 (1969); Engl. transl. Math. Notes 5, 223\u2013227 (1969)","journal-title":"Mat. Zametki"},{"key":"19_CR19","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0080437","volume-title":"Equations over Finite Fields","author":"W.M. Schmidt","year":"1976","unstructured":"Schmidt, W.M.: Equations over Finite Fields. Lecture Notes in Mathematics, vol.\u00a0536. Springer, Berlin (1976)"},{"key":"19_CR20","volume-title":"Monte Carlo and Quasi-Monte Carlo Methods 2004","author":"A. Winterhof","year":"2004","unstructured":"Winterhof, A.: On the distribution of some new explicit inversive pseudorandom numbers and vectors. In: Niederreiter, H., Talay, D. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 2004, Springer, Berlin (2004) (to appear)"}],"container-title":["Lecture Notes in Computer Science","Sequences and Their Applications - SETA 2004"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11423461_19.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T03:05:05Z","timestamp":1619492705000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11423461_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540260844","9783540320487"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/11423461_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}