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diff --git a/libtomcrypt/notes/tech0004.txt b/libtomcrypt/notes/tech0004.txt new file mode 100644 index 0000000..2acd378 --- /dev/null +++ b/libtomcrypt/notes/tech0004.txt @@ -0,0 +1,91 @@ +Tech Note 0004 +Using Yarrow, Fortuna and SOBER-128 +Tom St Denis + +Introduction +------------ + +This tech note explains how to use three of the more useful pseudo random number generators and their +own little "issues". While all of the PRNGs have the same API and are roughly used in the same +manner their effectiveness really depends on the user knowing how they work. + + +Yarrow +------ + +Yarrow is by far the simplest of the PRNGs. It gathers bits of entropy by hashing the pool state +plus the additional bits storing the message digest back in the pool. E.g. + +pool = hash(pool || newbits) + +Simply dump bits into the PRNG via yarrow_add_entropy() and call yarrow_ready() when you want to +put them to use. This PRNG while simple is not entirely safe. An attacker who learns the state +of the pool and can control future events can control the PRNG. This requires an active attacker but +isn't entire impossible. + +The pool is then used as a key for a cipher that is used in CTR mode. + +Yarrow is mostly meant for short-term programs [e.g. like file utils]. This particular implementation +is not meant for long-term usage. + +Fortuna +------- + +Fortuna was designed by Niels Fergusson and Bruce Schneier [Bruce is also the guy who invented Yarrow]. It +operates on a more defensive level than Yarrow. Instead of 1 entropy pool it has 32 and the new entropy +is spread [round robin] in all of the pools. + +That is, each call to fortuna_add_entropy() puts the bits in the next [in the sequenece] pool of entropy. +Effective bits are added to the pool by sending them through a hash [but not terminating the hash]. + +Here's the main catch though. When the PRNG must be reseeded [so that you can extract bits from it] only +certain pools are used. More precisely the i'th pool is used every 2**i'th reseeding. For example, pool[0] +is always used. pool[1] is used every second reseeding, pool[2] every fourth. + +The pools are hashed together along with the current key and the result is the new key for a cipher which +operates in CTR mode [more about that in a sec]. + +Now this may seem odd at first however there is a good reason behind it. An attacker who learns pool[0] won't +strictly know the other pools. So the recovery rate of is not 0. In fact pool[0] can be completely +compromised and the PRNG will still eventually recover. The value FORTUNA_WD is the "WatchDog" counter. +Every FORTUNA_WD calls to fortuna_read will invoke the reseed operation. By default this is set to 10 which +means after 10 calls the PRNG will reseed itself. + +The pools are combined with the running cipher key [256 bits] so that a cipher in CTR mode can produce +the stream. Unlike Yarrow the cipher is re-keyed after every call to fortuna_read() [so one big call +would be faster than many smaller calls]. This prevents too much data being encrypted under the same +key [and mitigates a flaw in CTR mode that the same block can't be emitted twice under the same key]. + +Fortuna is really meant for a kernel-level PRNG. The more sources [and often] you feed into it the +healthier it will be. It's also meant to be used for long term purposes. Since it can recover from +compromises it is harder to control it. + +SOBER-128 +------ + +SOBER-128 is actually a stream cipher but like most ciphers can easily be modelled in the context of a PRNG. +This PRNG is extremely fast [4 cycles/byte on a P4] and was designed by a well known cryptographer [Greg Rose]. + +SOBER-128 doesn't really "act" like the other two PRNGs. It's meant to be seeded once and then read as +required. In such a sense it isn't a "system PRNG" but useful short term purposes. In particular +the sober128_read() function actually XORs against the input buffer you specify. This allows the +read() function to be used as an "encrypt" function as well. + +You can only key SOBER-128 once [by calling sober128_add_entropy()]. Once it it is keyed subsequent +calls to add_entropy() will be considered a "re-IV" operation. Changing the IV allows you to use same +initial key and not produce the same output stream. It also lets you differentiate packets. E.g. each +packet has it's own IV. + +All inputs to sober128_add_entropy() must have a length that is a multiple of four. + +Overall +------- + +Since SOBER-128 is *much* faster than the other two PRNGs a good setup would be to use Fortuna as your +system-wide PRNG and use SOBER-128 [key'ed from Fortuna] for encrypting streams or as a PRNG for +simulations. + +Yarrow is still a good candidate but only for "short lived" programs. However, since Fortuna is faster +[by about 10 cycles/byte on a P4] I'd use Fortuna anyways... + +Tom
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