Title
Linear Congruential Generators Do Not Produce Random Sequences
Abstract
One of the most popular and fast methods of generating "random" sequence are linear congruential generators. This paper discusses the predictability of the sequence given only a constant proportion /spl alpha/ of the leading bits of the first few numbers generated. We show that the rest of the sequence is predictable in polynomial time, almost always, provided /spl alpha/ 2/5.
Year
DOI
Venue
1984
10.1109/SFCS.1984.715950
FOCS
Keywords
Field
DocType
constant proportion,linear congruential generators,linear congruential generator,spl alpha,fast method,random sequences,polynomial time,leading bit,polynomials,random sequence,random number generation,computer science,testing,cryptography
Discrete mathematics,Random element,Combinatorics,Random graph,Multiply-with-carry,Random number table,Random permutation,Random number generation,Mathematics,Random function,Pseudorandom number generator
Conference
ISBN
Citations 
PageRank 
0-8186-0591-X
14
38.92
References 
Authors
6
3
Name
Order
Citations
PageRank
A. M. Frieze1748193.55
Ravindran Kannan23893850.76
J. C. Lagarias3563235.61