{"title":"Inferring a sequence generated by a linear congruence","authors":"Joan B. Plumstead","doi":"10.1109/SFCS.1982.73","DOIUrl":null,"url":null,"abstract":"Suppose it is known that {X<sub>0</sub>, X<sub>1</sub>,...,X<sub>n</sub>} is produced by a pseudo-random number generator of the form X<sub>i+1</sub> = aX<sub>i</sub> + b mod m, but a, b, and m are unknown. Can one efficiently predict the remainder of the sequence with knowledge of only a few elements from that sequence? This question is answered in the affirmative and an algorithm is given.","PeriodicalId":127919,"journal":{"name":"23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1982-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"51","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFCS.1982.73","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 51
Abstract
Suppose it is known that {X0, X1,...,Xn} is produced by a pseudo-random number generator of the form Xi+1 = aXi + b mod m, but a, b, and m are unknown. Can one efficiently predict the remainder of the sequence with knowledge of only a few elements from that sequence? This question is answered in the affirmative and an algorithm is given.
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