1993Statistical ScienceOpen access

Pseudorandom Numbers

Jeffrey C. Lagarias

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Abstract

This article surveys the problem of generating pseudorandom numbers and lists many of the known constructions of pseudorandom bits. It outlines the subject of computational information theory. In this theory the fundamental object is a secure pseudorandom bit generator. Such generators are not theoretically proved to exist, although functions are known that appear to possess the required properties. In any case, pseudorandom number generators are known that work reasonably well in practice.

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What this paper is about

This article surveys the problem of generating pseudorandom numbers and lists many of the known constructions of pseudorandom bits. It outlines the subject of computational information theory. In this theory the fundamental object is a secure pseudorandom bit generator. Such generators are not theoretically proved to exist, although functions are known that appear to possess the required properties. In any case, pseudorandom number generators are known that work reasonably well in practice.

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Available abstract

This article surveys the problem of generating pseudorandom numbers and lists many of the known constructions of pseudorandom bits. It outlines the subject of computational information theory. In this theory the fundamental object is a secure pseudorandom bit generator. Such generators are not theoretically proved to exist, although functions are known that appear to possess the required properties. In any case, pseudorandom number generators are known that work reasonably well in practice.

Key concepts: Pseudorandom number generator, Pseudorandom generator, Pseudorandom generator theorem, Pseudorandomness, Pseudorandom function family, Random seed, Generator (circuit theory), Random number generation

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