Blum Blum Shub Generator. As shown in [2] and [4], LCGs are vulnerable to attacks if they are used to generate keys in a cryptosystem or in similar situations . Blum Blum Shub (B.B.S.) is a pseudorandom number generator proposed in by Lenore Blum, Manuel Blum and Michael Shub. Blum Blum Shub takes the. Abstract. The asymptotic security of the Blum-Blum-Shub (BBS) pseudo- random generator has been studied by Alexi et al. and Vazirani and Vazi- rani, who.

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You are commenting using your WordPress. There is a proof reducing its security to the computational difficulty of factoring. Some numbers, likehave very special patterns in their quadratic residues, only 0, 1, and 4 can occur as quadratic residues. Fill in your details below or click an icon to log in: A pseudorandom number generator is an algorithm for generating a sequence of numbers that approximates the properties of random numbers.

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This means we can generate random levels for some kind of games such as roguelike games, making people play randomly generated levels, making a game almost endless. Thank you Like Like.

Blum Blum Shub

The following table shows the output in bits for the different bit selection methods used to determine the output. Views Read Edit View history.

Procedural generation is a widely used term in the production of media; it refers to content generated algorithmically rather than manually. Do you genefator any insight regarding whether the underlying computational hardness assumption will be invalidated by quantum computing? This article has multiple issues. Please help improve it or discuss these issues on the talk page.


Leave a Reply Cancel reply Enter your comment here They were all created by procedural generation. Email required Address never made xhub. This page was last edited on 14 Octoberat You are commenting using your Facebook account. Learn how and when to remove these template messages.

Notify me of new posts via email. This article relies too much on references to primary sources. A truly random sequence of bits of lengthbits from the output of the pseudorandom generator when seeded with a starting state shorter than bits.

This makes the squaring function a bijection on quadratic residues. So if computing quadratic residues is even mildly hard, then predicting the next bit in this random number generator is very hard. One of the simplest pseudorandom number generator is the Blum Blum Shubcalled this way after the surnames of its creators: This is the case of The Sentinela game made in with 10, levels but no hardware to store them individually. Also, the greatest common divisor of prime and prime should be a small number, and that is since the greatest common divisor of 46 and 66 is 2.

September Learn how and when to remove this template message. Please improve this by adding secondary or tertiary sources. Two numbers are said to be congruent modulo m when their difference is divisible by m. See the github repository for the referenced implementation. This is often related to computer graphics applications and video game level design source.


This emphasizes a deep philosophical viewpoint in theoretical computer science, that whether some object has a property randomness really only depends on the power of a computationally limited observer to identify that property. Please help to improve this article by introducing more precise citations.

Blum Blum Shub B. A quick way to find large prime numbers is to pick a random number and apply a probabilistic test for primality.


By using this site, you agree to the Terms of Use and Privacy Policy. An interesting characteristic of the Blum Blum Shub generator is the possibility to calculate any x i value directly via Euler’s theorem:. Articles lacking in-text citations from September Sjub articles lacking in-text citations Articles lacking reliable references from September All articles lacking reliable references Articles with multiple maintenance issues.

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Blum Blum Shub – Wikipedia

See these notes of Fenerator for a detailed exposition of the number theory behind this random number generator, with full definitions and proofs. Offhand I think also if you can factor the modulus you win. From Wikipedia, the free encyclopedia.