# Audio Noise True Random Number Generator
## Working principle
The script uses the python package alsaaudio to read white noise from a white noise generator connected to a sound card.
You can use `arecord -L` to find the correct one and use the name in the script.
The settings have to be adapted to get the highest output rates.
For balancing of the distribution, the random input audio byte stream is used to calculate a SHA-512 hash with exactly 64 bytes of input. The hash is then written to stdout.
The Generation of 1MB data takes roughly 11.3s on an Intel(R) Core(TM) i5-5300U CPU @ 2.30GHz when using mono audio with a sampling rate of 48kHz in 16-bit.
For comparison: The bitrate of the audio is 48000 kHz * 16 bit / 8 bit/byte = 96 kB/s. (1MB would take 10.4s)
## The Noise Source
The SG-10 white noise source by EQKIT was used. The schematic can be seen below. The frequency curve was acquired in Audacity with a one minute lone audio sample using a FFT.
## Example Data
Without noise source:
```
b'\x01\x00\xff\xff\x01\x00\xff\xff\xff\xff\xff\xff\x00\x00\x00\x00\xff\xff\x00\x00\x00\x00\xff\xff\xff\xff\x00\x00\xfe\xff\xff\xff\xfe\xff\x01\x00\xfe\xff\x00\x00\xff\xff\xff\xff\xfe\xff\x00\x00\xff\xff\x00\x00\xff\xff\x00\x00\xff\xff\xff\xff\x00\x00\xff\xff\xff\xff\x00\x00\xff\xff\xff\xff\xff\xff\x01\x00\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\x01\x00\x00\x00\xff\xff\xff\xff\xff\xff'
```
With noise source:
```
b' (\xe52\xc0\x1aY,?(q\x1d\x92(\x88\x10\x1c\x04\x06\x14*\x1a9\x02s\x13\x03\n\xab\xf2\xee\xee,\x06\xe2\x17.\x16\xa9\xfd\xa2\xf8\x0e\xe8\xfc\xdb\n\xe74\xd8H\xdfe\xe4\xe3\xc8\x9f\xcd\xe9\xe6\xc9%\x06/\xfc((\x13w6\xc6+\xe5\x10\x88\n\x97\xfe\x14\xf6\xcd\xdc\x86\xeai\xd4\xce\xe2\xf1\xd9\xc4\xe1\xeb\xe2j\xf2'
```
## Testing
The testing file contained 1 GB of random data. The first 1k bytes are printed in random-example.txt. A test file can be created with `python3 generate.py | head -c 1G > random.txt`
### Entropy Test
```
Entropy = 8.000000 bits per byte.
Optimum compression would reduce the size
of this 1073741824 byte file by 0 percent.
Chi square distribution for 1073741824 samples is 275.64, and randomly
would exceed this value 17.88 percent of the times.
Arithmetic mean value of data bytes is 127.4978 (127.5 = random).
Monte Carlo value for Pi is 3.141560901 (error 0.00 percent).
Serial correlation coefficient is -0.000003 (totally uncorrelated = 0.0).
```
### FIBS 140-2 Test
```
rngtest 5
Copyright (c) 2004 by Henrique de Moraes Holschuh
This is free software; see the source for copying conditions. There is NO warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
rngtest: starting FIPS tests...
rngtest: entropy source drained
rngtest: bits received from input: 8589934592
rngtest: FIPS 140-2 successes: 429147
rngtest: FIPS 140-2 failures: 349
rngtest: FIPS 140-2(2001-10-10) Monobit: 48
rngtest: FIPS 140-2(2001-10-10) Poker: 49
rngtest: FIPS 140-2(2001-10-10) Runs: 120
rngtest: FIPS 140-2(2001-10-10) Long run: 135
rngtest: FIPS 140-2(2001-10-10) Continuous run: 0
rngtest: input channel speed: (min=924.600; avg=2002578.663; max=19531250.000)Kibits/s
rngtest: FIPS tests speed: (min=716.533; avg=136504.168; max=171326.754)Kibits/s
rngtest: Program run time: 65769311 microseconds
```
### Dieharder Test
```
#=============================================================================#
# dieharder version 3.31.1 Copyright 2003 Robert G. Brown #
#=============================================================================#
rng_name | filename |rands/second|
mt19937| random.txt| 8.67e+07 |
#=============================================================================#
test_name |ntup| tsamples |psamples| p-value |Assessment
#=============================================================================#
diehard_birthdays| 0| 100| 100|0.52047015| PASSED
diehard_operm5| 0| 1000000| 100|0.16144826| PASSED
diehard_rank_32x32| 0| 40000| 100|0.85999466| PASSED
diehard_rank_6x8| 0| 100000| 100|0.74972438| PASSED
diehard_bitstream| 0| 2097152| 100|0.50140326| PASSED
diehard_opso| 0| 2097152| 100|0.76093222| PASSED
diehard_oqso| 0| 2097152| 100|0.85593500| PASSED
diehard_dna| 0| 2097152| 100|0.08170188| PASSED
diehard_count_1s_str| 0| 256000| 100|0.73125089| PASSED
diehard_count_1s_byt| 0| 256000| 100|0.31029236| PASSED
diehard_parking_lot| 0| 12000| 100|0.33188578| PASSED
diehard_2dsphere| 2| 8000| 100|0.08935264| PASSED
diehard_3dsphere| 3| 4000| 100|0.09359798| PASSED
diehard_squeeze| 0| 100000| 100|0.90712590| PASSED
diehard_sums| 0| 100| 100|0.15489765| PASSED
diehard_runs| 0| 100000| 100|0.85228703| PASSED
diehard_runs| 0| 100000| 100|0.43322377| PASSED
diehard_craps| 0| 200000| 100|0.43149352| PASSED
diehard_craps| 0| 200000| 100|0.82073752| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.26528057| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.35954816| PASSED
sts_monobit| 1| 100000| 100|0.53912737| PASSED
sts_runs| 2| 100000| 100|0.62372961| PASSED
sts_serial| 1| 100000| 100|0.32405189| PASSED
sts_serial| 2| 100000| 100|0.33157337| PASSED
sts_serial| 3| 100000| 100|0.65466700| PASSED
sts_serial| 3| 100000| 100|0.05108665| PASSED
sts_serial| 4| 100000| 100|0.69748303| PASSED
sts_serial| 4| 100000| 100|0.83943491| PASSED
sts_serial| 5| 100000| 100|0.80526472| PASSED
sts_serial| 5| 100000| 100|0.79029114| PASSED
sts_serial| 6| 100000| 100|0.15108331| PASSED
sts_serial| 6| 100000| 100|0.06601942| PASSED
sts_serial| 7| 100000| 100|0.90567190| PASSED
sts_serial| 7| 100000| 100|0.56101255| PASSED
sts_serial| 8| 100000| 100|0.92420153| PASSED
sts_serial| 8| 100000| 100|0.69718767| PASSED
sts_serial| 9| 100000| 100|0.18861277| PASSED
sts_serial| 9| 100000| 100|0.97668829| PASSED
sts_serial| 10| 100000| 100|0.11297247| PASSED
sts_serial| 10| 100000| 100|0.36941856| PASSED
sts_serial| 11| 100000| 100|0.16547754| PASSED
sts_serial| 11| 100000| 100|0.54537938| PASSED
sts_serial| 12| 100000| 100|0.12991262| PASSED
sts_serial| 12| 100000| 100|0.58507222| PASSED
sts_serial| 13| 100000| 100|0.26603927| PASSED
sts_serial| 13| 100000| 100|0.95397825| PASSED
sts_serial| 14| 100000| 100|0.76562701| PASSED
sts_serial| 14| 100000| 100|0.39147672| PASSED
sts_serial| 15| 100000| 100|0.36033696| PASSED
sts_serial| 15| 100000| 100|0.25091208| PASSED
sts_serial| 16| 100000| 100|0.35659546| PASSED
sts_serial| 16| 100000| 100|0.27106529| PASSED
rgb_bitdist| 1| 100000| 100|0.35263582| PASSED
rgb_bitdist| 2| 100000| 100|0.70339811| PASSED
rgb_bitdist| 3| 100000| 100|0.77052360| PASSED
rgb_bitdist| 4| 100000| 100|0.99998422| WEAK
rgb_bitdist| 5| 100000| 100|0.38065170| PASSED
rgb_bitdist| 6| 100000| 100|0.92491905| PASSED
rgb_bitdist| 7| 100000| 100|0.28495572| PASSED
rgb_bitdist| 8| 100000| 100|0.75258756| PASSED
rgb_bitdist| 9| 100000| 100|0.33769908| PASSED
rgb_bitdist| 10| 100000| 100|0.04046379| PASSED
rgb_bitdist| 11| 100000| 100|0.84013859| PASSED
rgb_bitdist| 12| 100000| 100|0.97221925| PASSED
rgb_minimum_distance| 2| 10000| 1000|0.58345893| PASSED
rgb_minimum_distance| 3| 10000| 1000|0.21773575| PASSED
rgb_minimum_distance| 4| 10000| 1000|0.35116732| PASSED
rgb_minimum_distance| 5| 10000| 1000|0.14769474| PASSED
rgb_permutations| 2| 100000| 100|0.93791795| PASSED
rgb_permutations| 3| 100000| 100|0.92978417| PASSED
rgb_permutations| 4| 100000| 100|0.09020893| PASSED
rgb_permutations| 5| 100000| 100|0.99454823| PASSED
rgb_lagged_sum| 0| 1000000| 100|0.49749291| PASSED
rgb_lagged_sum| 1| 1000000| 100|0.58693854| PASSED
rgb_lagged_sum| 2| 1000000| 100|0.80728318| PASSED
rgb_lagged_sum| 3| 1000000| 100|0.96676760| PASSED
rgb_lagged_sum| 4| 1000000| 100|0.89916936| PASSED
rgb_lagged_sum| 5| 1000000| 100|0.85744894| PASSED
rgb_lagged_sum| 6| 1000000| 100|0.61303347| PASSED
rgb_lagged_sum| 7| 1000000| 100|0.70006779| PASSED
rgb_lagged_sum| 8| 1000000| 100|0.84035965| PASSED
rgb_lagged_sum| 9| 1000000| 100|0.59800902| PASSED
rgb_lagged_sum| 10| 1000000| 100|0.99357375| PASSED
rgb_lagged_sum| 11| 1000000| 100|0.15326346| PASSED
rgb_lagged_sum| 12| 1000000| 100|0.68263208| PASSED
rgb_lagged_sum| 13| 1000000| 100|0.84984874| PASSED
rgb_lagged_sum| 14| 1000000| 100|0.92180570| PASSED
rgb_lagged_sum| 15| 1000000| 100|0.67609712| PASSED
rgb_lagged_sum| 16| 1000000| 100|0.38916825| PASSED
rgb_lagged_sum| 17| 1000000| 100|0.63874919| PASSED
rgb_lagged_sum| 18| 1000000| 100|0.30486226| PASSED
rgb_lagged_sum| 19| 1000000| 100|0.20525747| PASSED
rgb_lagged_sum| 20| 1000000| 100|0.99151085| PASSED
rgb_lagged_sum| 21| 1000000| 100|0.58535774| PASSED
rgb_lagged_sum| 22| 1000000| 100|0.90677851| PASSED
rgb_lagged_sum| 23| 1000000| 100|0.97709930| PASSED
rgb_lagged_sum| 24| 1000000| 100|0.78311275| PASSED
rgb_lagged_sum| 25| 1000000| 100|0.94366050| PASSED
rgb_lagged_sum| 26| 1000000| 100|0.86280100| PASSED
rgb_lagged_sum| 27| 1000000| 100|0.64275559| PASSED
rgb_lagged_sum| 28| 1000000| 100|0.83402603| PASSED
rgb_lagged_sum| 29| 1000000| 100|0.24938855| PASSED
rgb_lagged_sum| 30| 1000000| 100|0.55801088| PASSED
rgb_lagged_sum| 31| 1000000| 100|0.84233240| PASSED
rgb_lagged_sum| 32| 1000000| 100|0.68261737| PASSED
rgb_kstest_test| 0| 10000| 1000|0.25528808| PASSED
dab_bytedistrib| 0| 51200000| 1|0.29836127| PASSED
dab_dct| 256| 50000| 1|0.07997437| PASSED
Preparing to run test 207. ntuple = 0
dab_filltree| 32| 15000000| 1|0.64958287| PASSED
dab_filltree| 32| 15000000| 1|0.68823178| PASSED
Preparing to run test 208. ntuple = 0
dab_filltree2| 0| 5000000| 1|0.77296969| PASSED
dab_filltree2| 1| 5000000| 1|0.78849339| PASSED
Preparing to run test 209. ntuple = 0
dab_monobit2| 12| 65000000| 1|0.69993404| PASSED
```
