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Template:Short description

File:Hexdump of dev urandom.png
256 byte hex dump of Template:Mono

In Unix-like operating systems, Template:Mono and Template:Mono are special files that provide random numbers from a cryptographically secure pseudorandom number generator (CSPRNG). The CSPRNG is seeded with entropy (a value that provides randomness) from environmental noise, collected from device drivers and other sources. Users can obtain random numbers from the CSPRNG simply by reading the file.[1] Not all operating systems implement the same methods for Template:Mono and Template:Mono.

In older operating systems, Template:Mono typically blocked if there was less entropy available than requested; more recently (see below for the differences between operating systems) it usually blocks at startup until sufficient entropy has been gathered, then unblocks permanently. The Template:Mono device typically was never a blocking device, even if the pseudorandom number generator seed was not fully initialized with entropy since boot.

This special file originated in Linux in 1994. It was quickly adopted by other Unix-like operating systems.[2]

Linux

File:Rngtest FIPS-140-2 screenshot.png
Rngtest testing Template:Mono pool, same result can be observed with Template:Mono pool

The Linux kernel provides the separate device files Template:Mono and Template:Mono. Since kernel version 5.6 of 2020, Template:Mono only blocks when the CSPRNG hasn't initialized. Once initialized, Template:Mono and Template:Mono behave the same.[3]

In October 2016, with the release of Linux kernel version 4.8, the kernel's Template:Mono was switched over to a ChaCha20-based cryptographic pseudorandom number generator (CPRNG) implementation[4] by Theodore Ts'o, based on Bernstein's well-regarded stream cipher ChaCha20.

Since version 5.17 of the Linux kernel, the random number generator switched from using the SHA-1 cryptographic hash function in the entropy collector to BLAKE2s, a newer, faster and more secure hash function.[5]

Original implementation

Random number generation in kernel space was implemented for the first time for Linux[2] in 1994 by Theodore Ts'o.[6] The implementation used secure hashes rather than ciphers,Template:Clarify to avoid cryptography export restrictions that were in place when the generator was originally designed. The implementation was also designed with the assumption that any given hash or cipher might eventually be found to be weak, and so the design is durable in the face of any such weaknesses. Fast recovery from pool compromise is not considered a requirement, because the requirements for pool compromise are sufficient for much easier and more direct attacks on unrelated parts of the operating system.

In Ts'o's implementation, the generator keeps an estimate of the number of bits of noise in the entropy pool. From this entropy pool random numbers are created. When read, the Template:Mono device will only return random bytes within the estimated number of bits of noise in the entropy pool. When the entropy pool is empty, reads from Template:Mono will block until additional environmental noise is gathered.[7] The intent is to serve as a cryptographically secure pseudorandom number generator, delivering output with entropy as large as possible. This is suggested by the authors for use in generating cryptographic keys for high-value or long-term protection.[7]

A counterpart to Template:Mono is Template:Mono ("unlimited"[8]/non-blocking random source[7]) which reuses the internal pool to produce more pseudo-random bits. This means that the call will not block, but the output may contain less entropy than the corresponding read from Template:Mono. While Template:Mono is still intended as a pseudorandom number generator suitable for most cryptographic purposes, the authors of the corresponding man page note that, theoretically, there may exist an as-yet-unpublished attack on the algorithm used by Template:Mono, and that users concerned about such an attack should use Template:Mono instead.[7] However such an attack is unlikely to come into existence, because once the entropy pool is unpredictable it doesn't leak security by a reduced number of bits.[9]

It is also possible to write to Template:Mono. This allows any user to mix random data into the pool. Non-random data is harmless, because only a privileged user can issue the ioctl needed to increase the entropy estimate.Script error: No such module "Unsubst". The current amount of entropy and the size of the Linux kernel entropy pool, both measured in bits, are available in Template:Mono and can be displayed by the command cat /proc/sys/kernel/random/entropy_avail and cat /proc/sys/kernel/random/poolsize respectively.

Entropy injection

Gutterman, Pinkas, & Reinman in March 2006 published a detailed cryptographic analysis of the Linux random number generator[10] in which they describe several weaknesses. Perhaps the most severe issue they report is with embedded or Live CD systems, such as routers and diskless clients, for which the bootup state is predictable and the available supply of entropy from the environment may be limited. For a system with non-volatile memory, they recommend saving some state from the RNG at shutdown so that it can be included in the RNG state on the next reboot. In the case of a router for which network traffic represents the primary available source of entropy, they note that saving state across reboots "would require potential attackers to either eavesdrop on all network traffic" from when the router is first put into service, or obtain direct access to the router's internal state. This issue, they note, is particularly critical in the case of a wireless router whose network traffic can be captured from a distance, and which may be using the RNG to generate keys for data encryption.

The Linux kernel provides support for several hardware random number generators, should they be installed. The raw output of such a device may be obtained from Template:Mono.[11]

With Linux kernel 3.16 and newer,[12] the kernel itself mixes data from hardware random number generators into Template:Mono on a sliding scale based on the definable entropy estimation quality of the HWRNG. This means that no userspace daemon, such as Template:Mono from Template:Mono, is needed to do that job. With Linux kernel 3.17+, the VirtIO RNG was modified to have a default quality defined above 0,[13] and as such, is currently the only HWRNG mixed into Template:Mono by default.

The entropy pool can be improved by programs like Template:Mono, Template:Mono, Template:Mono etc. With Template:Mono, hardware random number generators like Entropy Key, etc. can write to Template:Mono. The diehard tests programs Template:Mono, Template:Mono and Template:Mono can test these random number generators.[14][15][16][17]

Critique of entropy injection

In January 2014, Daniel J. Bernstein published a critique[18] of how Linux mixes different sources of entropy. He outlines an attack in which one source of entropy capable of monitoring the other sources of entropy could modify its output to nullify the randomness of the other sources of entropy. Consider the function Template:Tmath where H is a hash function and x, y, and z are sources of entropy with z being the output of a CPU-based malicious HRNG Z:

  1. Z generates a random value of r.
  2. Z computes Template:Tmath.
  3. If the output of Template:Tmath is equal to the desired value, output r as z.
  4. Else, repeat starting at 1.

Bernstein estimated that an attacker would need to repeat Template:Tmath 16 times to compromise DSA and ECDSA, by causing the first four bits of the RNG output to be 0. This is possible because Linux reseeds H on an ongoing basis instead of using a single high quality seed.[18]

Bernstein also argues that entropy injection is pointless once the CSPRNG has been initialized.[18]

In kernel 5.17 (backported to kernel 5.10.119), Jason A. Donenfeld offered a new design of the Linux entropy pool infrastructure. Donenfeld reported that the old pool, consisting of a single 4096-bit LFSR is vulnerable to two attacks: (1) an attacker can undo the effect of a known input; (2) if the whole pool's state is leaked, an attacker can set all bits in the pool to zero. His new design, which is faster and safer, uses the blake2s hash function for mixing a 256-bit pool.[19]

BSD systems

The FreeBSD operating system provides a Template:Mono link to Template:Mono. Both block only until properly seeded. FreeBSD's PRNG (Fortuna) reseeds regularly, and does not attempt to estimate entropy. On a system with small amount of network and disk activity, reseeding is done after a fraction of a second.[20]

DragonFly BSD inherited FreeBSD's random device files when it was forked.[21]Template:Non-primary source needed[22]

Since OpenBSD 5.1 (May 1, 2012) Template:Mono and Template:Mono uses arc4random, a CSPRNG function based on RC4. The function was changed to use the stronger ChaCha20 with OpenBSD 5.5 (May 1, 2014). The system automatically uses hardware random number generators (such as those provided on some Intel PCI hubs) if they are available, through the OpenBSD Cryptographic Framework.[23][24] Template:Mono was removed in OpenBSD 6.3 (April 15, 2018).[25]

NetBSD's implementation of the legacy arc4random() API has been switched over to ChaCha20 as well.[26]

macOS, iOS and other Apple OSes

All Apple OSes have moved to Fortuna since at least December 2019, possibly earlier.[27] It is based on SHA-256. Multiple entropy sources such as the secure enclave RNG, boot phase timing jitter, hardware interrupt (timing assumed) are used. RDSEED/RDRAND is used on Intel-based Macs that support it. Seed (entropy) data is also stored for subsequent reboots.

Prior to the change, macOS and iOS used 160-bit Yarrow based on SHA-1.[28]

There is no difference between Template:Mono and Template:Mono; both behave identically.[29][30]

Other operating systems

Template:Mono and Template:Mono are also available on Solaris,[31] NetBSD,[32] Tru64 UNIX 5.1B,[33] AIX 5.2[34] and HP-UX 11i v2.[35] As with FreeBSD, AIX implements its own Yarrow-based design, however AIX uses considerably fewer entropy sources than the standard Template:Mono implementation and stops refilling the pool when it thinks it contains enough entropy.[36]

In Windows NT, similar functionality is delivered by Template:Mono, but reading the special file Template:Mono does not work as in UNIX. The documented methods to generate cryptographically random bytes are CryptGenRandom and RtlGenRandom. Windows PowerShell provides access to a cryptographically secure pseudorandom number generator via the Template:Mono cmdlet.[37]

Cygwin on Windows provides implementations of both Template:Mono and Template:Mono, which can be used in scripts and programs.[38]

See also

References

Template:Reflist

External links

  • Script error: No such module "citation/CS1".
  • Script error: No such module "citation/CS1". – describes the Linux 4.8 /dev/random infrastructure and the futility of counting "spent" entropy. Includes quotes from cryptographers. (Counting of "spent" entropy is removed in kernel 5.17.)
  1. ↑ Script error: No such module "citation/CS1".
  2. ↑ a b Script error: No such module "citation/CS1".
  3. ↑ Script error: No such module "citation/CS1".
  4. ↑ Script error: No such module "citation/CS1".
  5. ↑ Script error: No such module "citation/CS1".
  6. ↑ Script error: No such module "citation/CS1".
  7. ↑ a b c d Template:Man
  8. ↑ Script error: No such module "citation/CS1".
  9. ↑ Script error: No such module "Citation/CS1".
  10. ↑ Script error: No such module "citation/CS1".
  11. ↑ Script error: No such module "citation/CS1".
  12. ↑ Script error: No such module "citation/CS1".
  13. ↑ Script error: No such module "citation/CS1".
  14. ↑ Script error: No such module "citation/CS1".
  15. ↑ Script error: No such module "citation/CS1".
  16. ↑ Script error: No such module "citation/CS1".
  17. ↑ Script error: No such module "citation/CS1".
  18. ↑ a b c Script error: No such module "citation/CS1".
  19. ↑ Script error: No such module "citation/CS1".
  20. ↑ Template:Man
  21. ↑ Script error: No such module "citation/CS1".
  22. ↑ Script error: No such module "citation/CS1".
  23. ↑ Template:Man
  24. ↑ Script error: No such module "citation/CS1".
  25. ↑ Script error: No such module "citation/CS1".
  26. ↑ Script error: No such module "citation/CS1".
  27. ↑ Script error: No such module "citation/CS1".
  28. ↑ Script error: No such module "citation/CS1".
  29. ↑ Template:Man
  30. ↑ Script error: No such module "citation/CS1".
  31. ↑ Script error: No such module "citation/CS1".
  32. ↑ Template:Man
  33. ↑ Script error: No such module "citation/CS1".
  34. ↑ Script error: No such module "citation/CS1".
  35. ↑ Script error: No such module "citation/CS1".
  36. ↑ Script error: No such module "citation/CS1".
  37. ↑ Script error: No such module "citation/CS1".
  38. ↑ Script error: No such module "citation/CS1".
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