Table 1 Typical results of NIST tests for bitstreams generated from the microplasma current time series for the two cases of visible and non-visible electrical current arc.

From: Atmospheric pressure air microplasma current time series for true random bit generation

Statistical test

Visible electrical current arc

Non-visible electrical current arc

10 Mbit/s

50 Mbit/s

100 Mbit/s

100 Mbit/s

P-value

Proportion

Assessment

P-value

Proportion

Assessment

P-value

Proportion

Assessment

P-value

Proportion

Assessment

F

0.739918

50/50

Success

0.137282

50/50

Success

0.739918

49/50

Success

0.574903

98/100

Success

BF

0.779188

50/50

Success

0.911413

49/50

Success

0.122325

50/50

Success

0.816537

99/100

Success

CS

0.419021

50/50

Success

0.213309

50/50

Success

0.534146

49/50

Success

0.401199

98/100

Success

R

0.262249

49/50

Success

0.779188

50/50

Success

0.023545

49/50

Success

0.055361

99/100

Success

LR

0.383827

50/50

Success

0.236810

47/50

Success

0.935716

50/50

Success

0.999438

99/100

Success

Rk

0.383827

50/50

Success

0.455937

50/50

Success

0.816537

50/50

Success

0.834308

100/100

Success

FFT

0.419021

50/50

Success

0.122325

48/50

Success

0.657933

49/50

Success

0.236810

100/100

Success

NOT

0.383827

47/50

Success

0.419021

50/50

Success

0.616305

48/50

Success

0.897763

99/100

Success

OT

0.935716

49/50

Success

0.739918

49/50

Success

0.191687

50/50

Success

0.616305

100/100

Success

U

0.739918

50/50

Success

0.574903

50/50

Success

0.419021

50/50

Success

0.213309

10/10

Success

AE

0.883171

49/50

Success

0.066882

49/50

Success

0.289667

50/50

Success

0.224821

100/100

Success

RE

0.002971

15/15

Success

0.834308

26/26

Success

0.911413

22/22

Success

0.012650

15/15

Success

REV

0.437274

15/15

Success

0.012650

26/26

Success

0.122325

22/22

Success

0.275709

15/15

success

S

0.262249

49/50

Success

0.657933

49/50

Success

0.779188

48/20

Success

0.935716

99/100

Success

LC

0.236810

49/50

Success

0.383827

47/50

Success

0.699313

50/50

Success

0.616305

100/100

Success

  1. When arcing is visible (inter-electrode distance of \(\sim\) 1 mm), we tested bitstream of 24 Mbit in length (50 sequences of 480,000 bits) collected at the sampling rates of 10 MS/s, 50 MS/s and 100 MS/s. For the case of non-visible arcing (inter-electrode distance of \(\sim\) 3–4 mm), we tested bitstream of 16 Mbit in length (100 sequences of 160,000 bits, for Universal test 10 sequences of 1,600,000 bits) collected at the sampling rate of 100 MS/s. (F stands for test Frequency, BF for Block Frequency, CS for Cumulative Sums, R for Runs, LR for Longest Run, Rk for Rank, FFT for Fast Fourier Transform, NOT for Non Overlapping Template, OT for Overlapping Template, U for Universal, AE for Approximate Entropy, RE for Random Excursions, REV for Random Excursions Variant, S for Serial, and LC for Linear Complexity).