{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T10:35:30Z","timestamp":1778495730117,"version":"3.51.4"},"reference-count":10,"publisher":"American Mathematical Society (AMS)","issue":"225","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We give the results of a computer search for maximally equidistri- buted combined linear feedback shift register (or Tausworthe) random number generators, whose components are trinomials of degrees slightly less than 32 or 64. These generators are fast and have good statistical properties.<\/p>","DOI":"10.1090\/s0025-5718-99-01039-x","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:28Z","timestamp":1027707268000},"page":"261-269","source":"Crossref","is-referenced-by-count":122,"title":["Tables of maximally equidistributed combined LFSR generators"],"prefix":"10.1090","volume":"68","author":[{"given":"Pierre","family":"L\u2019Ecuyer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[1999]]},"reference":[{"issue":"5-6","key":"1","doi-asserted-by":"publisher","first-page":"883","DOI":"10.1007\/BF01029989","article-title":"The hierarchy of correlations in random binary sequences","volume":"63","author":"Compagner, Aaldert","year":"1991","journal-title":"J. Statist. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-4715","issn-type":"print"},{"key":"2","doi-asserted-by":"crossref","unstructured":"\\bysame, Operational conditions for random number generation, Physical Review E 52 (1995), no. 5-B, 5634\u20135645.","DOI":"10.1103\/PhysRevE.52.5634"},{"key":"3","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/BF02136827","article-title":"Uniform random number generation","volume":"53","author":"L\u2019Ecuyer, Pierre","year":"1994","journal-title":"Ann. Oper. Res.","ISSN":"https:\/\/id.crossref.org\/issn\/0254-5330","issn-type":"print"},{"issue":"213","key":"4","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1090\/S0025-5718-96-00696-5","article-title":"Maximally equidistributed combined Tausworthe generators","volume":"65","author":"L\u2019Ecuyer, Pierre","year":"1996","journal-title":"Math. 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Kurita, Twisted GFSR generators II, ACM Transactions on Modeling and Computer Simulation 4 (1994), no. 3, 254\u2013266.","DOI":"10.1145\/189443.189445"},{"key":"7","doi-asserted-by":"crossref","unstructured":"\\bysame, Strong deviations from randomness in \ud835\udc5a-sequences based on trinomials, ACM Transactions on Modeling and Computer Simulation 6 (1996), no. 2, 99\u2013106.","DOI":"10.1145\/232807.232815"},{"key":"8","series-title":"CBMS-NSF Regional Conference Series in Applied Mathematics","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970081","volume-title":"Random number generation and quasi-Monte Carlo methods","volume":"63","author":"Niederreiter, Harald","year":"1992","ISBN":"https:\/\/id.crossref.org\/isbn\/0898712955"},{"key":"9","doi-asserted-by":"crossref","unstructured":"S. Tezuka and P. L\u2019Ecuyer, Efficient and portable combined Tausworthe random number generators, ACM Transactions on Modeling and Computer Simulation 1 (1991), no. 2, 99\u2013112.","DOI":"10.1145\/116890.116892"},{"issue":"201","key":"10","doi-asserted-by":"publisher","first-page":"363","DOI":"10.2307\/2153173","article-title":"On the use of reducible polynomials as random number generators","volume":"60","author":"Wang, Da Kai","year":"1993","journal-title":"Math. 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