A pseudorandom number generator (PRNG) is a deterministic algorithm capable of generating sequences of numbers that approximate the properties of random numbers. Each sequence is completely determined by the initial state of the PRNG and the algorithm for changing the state. Most PRNGs make it possible to set the initial state, also called the seed state. Setting the initial state is called seeding the PRNG.
Calling a PRNG in the same initial state, either without seeding it explicitly or by seeding it with a constant value, results in generating the same sequence of random numbers in different runs of the program. Consider a PRNG function that is seeded with some initial seed value and is consecutively called to produce a sequence of random numbers. If the PRNG is subsequently seeded with the same initial seed value, then it will generate the same sequence.
Consequently, after the first run of an improperly seeded PRNG, an attacker can predict the sequence of random numbers that will be generated in the future runs. Improperly seeding or failing to seed the PRNG can lead to vulnerabilities, especially in security protocols.
The solution is to ensure that a PRNG is always properly seeded with an initial seed value that will not be predictable or controllable by an attacker. A properly seeded PRNG will generate a different sequence of random numbers each time it is run.
Not all random number generators can be seeded. True random number
generators that rely on hardware to produce completely unpredictable
results do not need to be and cannot be seeded. Some high-quality
PRNGs, such as the
/dev/random
device on some UNIX systems, also cannot be seeded. This rule
applies only to algorithmic PRNGs that can be seeded.
Noncompliant Code Example
This noncompliant code example generates a sequence of 10 pseudorandom numbers using the Mersenne Twister engine. No matter how many times this code is executed, it always produces the same sequence because the default seed is used for the engine.
#include <random>
#include
<iostream>
void
f() {
std::mt19937 engine;
for
(
int
i = 0; i < 10; ++i) {
std::cout << engine()
<<
", "
;
}
}
|
The output of this example follows.
1st run:
3499211612
,
581869302
,
3890346734
,
3586334585
,
545404204
,
4161255391
,
3922919429
,
949333985
,
2715962298
,
1323567403
,
2nd run:
3499211612
,
581869302
,
3890346734
,
3586334585
,
545404204
,
4161255391
,
3922919429
,
949333985
,
2715962298
,
1323567403
,
...
nth run:
3499211612
,
581869302
,
3890346734
,
3586334585
,
545404204
,
4161255391
,
3922919429
,
949333985
,
2715962298
,
1323567403
,
|
Noncompliant Code Example
This noncompliant code example improves the previous noncompliant code example by seeding the random number generation engine with the current time. However, this approach is still unsuitable when an attacker can control the time at which the seeding is executed. Predictable seed values can result in exploits when the subverted PRNG is used.
#include <ctime>
#include <random>
#include
<iostream>
void
f() {
std::
time_t
t;
std::mt19937 engine(std::
time
(&t));
for
(
int
i = 0; i < 10; ++i) {
std::cout << engine()
<<
", "
;
}
}
|
Compliant Solution
This compliant solution uses
std::random_device
to generate a random value for seeding the Mersenne Twister engine
object. The values generated by
std::random_device
are nondeterministic random numbers when possible, relying on random
number generation devices, such as
/dev/random
. When such a device is not available,
std::random_device
may employ a random number engine; however, the initial value
generated should have sufficient randomness to serve as a seed value.
#include <random>
#include
<iostream>
void
f() {
std::random_device dev;
std::mt19937 engine(dev());
for
(
int
i = 0; i < 10; ++i) {
std::cout << engine()
<<
", "
;
}
}
|
The output of this example follows.
1st run:
3921124303
,
1253168518
,
1183339582
,
197772533
,
83186419
,
2599073270
,
3238222340
,
101548389
,
296330365
,
3335314032
,
2nd run:
2392369099
,
2509898672
,
2135685437
,
3733236524
,
883966369
,
2529945396
,
764222328
,
138530885
,
4209173263
,
1693483251
,
3rd run:
914243768
,
2191798381
,
2961426773
,
3791073717
,
2222867426
,
1092675429
,
2202201605
,
850375565
,
3622398137
,
422940882
,
...
|