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Comp."],"abstract":"<p>A nonlinear congruential pseudorandom number generator with modulus <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper M equals 2 Superscript w\">\n  <mml:semantics>\n    <mml:mrow>\n      <mml:mi>M<\/mml:mi>\n      <mml:mo>=<\/mml:mo>\n      <mml:msup>\n        <mml:mn>2<\/mml:mn>\n        <mml:mi>w<\/mml:mi>\n      <\/mml:msup>\n    <\/mml:mrow>\n    <mml:annotation encoding=\"application\/x-tex\">M = 2^w<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> is proposed, which may be viewed to comprise both linear as well as inversive congruential generators. The condition for it to generate sequences of maximal period length is obtained. It is akin to the inversive one and bears a remarkable resemblance to the latter.<\/p>","DOI":"10.1090\/s0025-5718-96-00694-1","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T22:14:44Z","timestamp":1027721684000},"page":"227-233","source":"Crossref","is-referenced-by-count":9,"title":["On a nonlinear congruential pseudorandom number generator"],"prefix":"10.1090","volume":"65","author":[{"given":"Takashi","family":"Kato","sequence":"first","affiliation":[]},{"given":"Li-Ming","family":"Wu","sequence":"additional","affiliation":[]},{"given":"Niro","family":"Yanagihara","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1996]]},"reference":[{"issue":"193","key":"1","doi-asserted-by":"publisher","first-page":"297","DOI":"10.2307\/2008543","article-title":"Inversive congruential pseudorandom numbers avoid the planes","volume":"56","author":"Eichenauer-Herrmann, J\u00fcrgen","year":"1991","journal-title":"Math. 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