Pseudo Random and Random Numbers. Vivek Bhatnagar and Chaitanya Cheruvu. Contents. Introduction to Pseudorandom Numbers Theory Behind Pseudorandom Numbers Some Pseudorandom Number Generators Attacks on Pseudorandom generators Tests for pseudorandom functions
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Vivek Bhatnagar and Chaitanya Cheruvu
The integers or ``fixed point'' numbers are manipulated arithmetically to yield floating point or ``real'' numbers.
The Nature of the cycle
the sequence has a finite number of integers
the sequence gets traversed in a particular order
the sequence repeats if the period of the generator is exceeded
the integers need not be distinct; that is, they may repeat.The Random Number Cycle
This is a characteristic of linear, congruential generators which minimizes storage requirements, but at the same time, imposes restrictions on the period.