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On a positive note, it is helpful that you can generate an arbitrary amount of training patterns for the neural network, assuming that you have control over the PRNG and can produce as many random numbers as you want.īecause modern PRNGs are a key component for cryptography, extensive research has been conducted to verify that they are "random enough" to withstand such prediction attacks. The less predictable the PRNG gets, the more data will be required to find some kind of pattern. The stronger the PRNG gets, the more input neurons are required, assuming you are using one neuron for each bit of prior randomness generated by the PRNG. The neural network could be trained to find certain patterns in the history of random numbers generated by a PRNG to predict the next bit. But in the real world things look different. A very weak PRNG like the one XKCD published could of course be easily predicted by a neural network with little training. Depending on the quality of the PRNG, the problem ranges from easy to almost impossible. When we talk about pseudo RNG, things change a little. It is impossible to predict a truly random number, otherwise it wouldn't be truly random. There was a reason to prompt the author to design ISAAC+, so while there is no known attack that breaks it outright, it does provide less assurance then a thoroughly reviewed design such as AES or salsa20.If we are talking about a perfect RNG, the answer is a clear no. Is ISAAC not secure enough for cryptographic applications? AES-CTR-DRBG is a standards compliant PRNG.ISAAC is not a standardized (read: officially prescribed) algorithm for use as a PRNG by any official organizations i.e. On the other hand, sometimes security is required, as well as conformance to a particular security standard.Secure random numbers are not always required Often times, numbers that look random enough work just fine.Their requirements may be satisfied with simpler/more commonly used algorithms.If they are not aware it's existence, they will not use it.ISAAC is not a hugely well known algorithm in the same tier as AES or salsa20.
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We can only conjecture at the motivations of others. Why don't people use ISAAC for their implementations?
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There is no need to hash the output, this is just eating cycles for no statistical or security benefit. Otherwise, assuming a modern CPU with AES-NI support, nothing will likely be faster then utilizing AES in CTR mode. The RDRAND CPU instruction is another option, though it is often times combined with other sources of random number generation, as not everyone trusts it completely (you can ignore this unless you are dead set on obtaining absolutely secure random numbers). If you don't need to be able to repeat the stream of numbers, there is little reason not to use the methods provided by the operating system - namely, urandom on linux, and CryptGenRandom in Windows. What are the other methods available for fast pseudo random number generation? What are the methods for generating pseudo-random numbers in software?