Table 1 Results of NIST test of key sequences generated from two FP lasers.

From: 0.75 Gbit/s high-speed classical key distribution with mode-shift keying chaos synchronization of Fabry–Perot lasers

Statistical test

FPA

FPB

P-value

Proportion

Result

P-value

Proportion

Result

Frequency

0.522100

0.9890

Success

0.461612

0.9860

Success

Block frequency

0.422638

0.9920

Success

0.585209

0.9900

Success

Cumulative sums

0.350485

0.9890

Success

0.471146

0.9870

Success

Runs

0.997147

0.9920

Success

0.721777

0.9890

Success

Longest run

0.994944

0.9870

Success

0.745908

0.9930

Success

Rank

0.878618

0.9880

Success

0.919131

0.9900

Success

FFT

0.420827

0.9840

Success

0.568739

0.9840

Success

Non-overlapping template

0.012043

0.9920

Success

0.006906

0.9860

Success

Overlapping template

0.937919

0.9860

Success

0.090388

0.9840

Success

Universal

0.138069

0.9890

Success

0.435430

0.9930

Success

Approximate entropy

0.814724

0.9940

Success

0.339271

0.9920

Success

Random excursions

0.048229

0.9891

Success

0.040363

0.9888

Success

Random excursions variant

0.008120

0.9922

Success

0.149903

0.9919

Success

Serial

0.137282

0.9910

Success

0.188601

0.9930

Success

Linear complexity

0.166260

0.9900

Success

0.140453

0.9890

Success

  1. For tests that produce multiple P-values and proportions, the worst case is shown. Using 1000 samples of 1 Mbit data and significant level α = 0.01, for “Success”, the P-value should be larger than 0.0001 and the proportion should be in the range of 0.99 ± 0.0094392.