Secure Random Generators (CSPRNG)

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Cryptography secure pseudo-random number generators (CSPRNG) are random generators, which guarantee that the random numbers coming from them are absolutely unpredictable. CSPRNG satisfy the next-bit test and withstand the state compromise extensions and are typically part of the operating system or come from secure external source. Depending on the level of security required, CSPRNG can be implemented as software components or as hardware devices or as combination of both.
For example, in the credit card printing centers the formal security regulations require certified hardware random generators to be used to generate credit card PIN codes, private keys and other data, designed to remain private.
Modern operating systems (OS) collect entropy (initial seed) from the environmental noise: keyboard clicks, mouse moves, network activity, system I/O interruptions, hard disk activity, etc. Sources of randomness from the environment in Linux, for example, include inter-keyboard timings, inter-interrupt timings from some interrupts, and other events which are both non-deterministic and hard to measure for an outside observer.
The collected in the OS randomness is usually accessible from /dev/random and /dev/urandom.
Reading from the /dev/random file (the limited blocking random generator) returns entropy from the kernel's entropy pool (collected noise) and blocks when the entropy pool is empty until additional environmental noise is gathered.
Reading the /dev/urandom file (the unlimited non-blocking random generator) returns entropy from the kernel's entropy pool or a pseudo-random data, generated from previously collected environmental noise, which is also unpredictable, but is based on secure entropy "stretching" algorithm.
Usually a CSPRNG should start from an unpredictable random seed from the operating system, from a specialized hardware or from external source. Random numbers after the seed initialization are typically produces by a pseudo-random computation, but this does not compromise the security. Most algorithms often "reseed" the CSPRNG random generator when a new entropy comes, to make their work even more unpredictable.
Typically modern OS CSPRNG APIs combine the constantly collected entropy from the environment with the internal state of their built-in pseudo-random algorithm with continuous reseeding to guarantee maximal unpredictability of the generated randomness with high speed and non-blocking behavior in the same time.
Hardware Random Generators (TRNG)
Hardware random generators, known as true random number generators (TRNG), typically capture physical processes or phenomenа, such as the visible spectrum of the light, the thermal noise from the environment, the atmosphere noise, etc. The randomness from the physical environment is collected through specialized sensors, then amplified and processed by the device and finally transmitted to the computer through USB, PCI Express or other standard interface.
Modern microprocessors (CPU) ****provide a built-in hardware random generator, accessible through a special CPU instruction RdRand, which return a random integer into one of the CPU registers.
Most cryptographic applications today do not require a hardware random generator, because the entropy in the operating system is secure enough for general cryptographic purposes. Using a TRNG is needed for systems with higher security requirements, such as banking and finance applications, certification authorities and high volume payment processors.
How as a Developer to Access the CSPRNG?
Typically developers access the cryptographically strong random number generators (CSPRNG) for their OS from a cryptography library for their language and platform.
In Linux and macOS, it is considered that both /dev/random and /dev/urandom sources of randomness are secure enough for most cryptographic purposes and most cryptographic libraries access them internally.
In Windows, random numbers for cryptographic purposes can be securely generated using the BCryptGenRandom function from the Cryptography API: Next Generation (CNG) or higher level crypto libraries.
In C# use System.Security.Cryptography.RandomNumberGenerator.Create() from .NET Framework or .NET Core.
In Python use os.urandom() or the secrets library.
In Java use the java.security.SecureRandom system class.
In JavaScript use window.crypto.getRandomValues(Uint8Array) for client side (in the Web browser) or crypto.randomBytes() or external module like node-sodium for server-side (in Node.js).
Never use Math.random() or similar insecure RNG functions for cryptographic purposes!
Pseudo-Random Numbers - Examples
Exercises: Pseudo-Random Generator
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Contents
Hardware Random Generators (TRNG)
How as a Developer to Access the CSPRNG?