Chi-Squared Test Leakage Assessment

The chi-squared test can be used with the t-test to assess leakage. The chi-squared script that is provided uses ‘random’ and ‘fixed’ classes so the inputs to the script are the same as the ones used for t-test2.py. For more information, please refer to the T-test page. The script is named x-test3.py and is located in fobos/software/tools/x-test. To run the test, use the following command.

python x-test3.py traces0.npy traces1.npy result_x_test.png

Where all the input files are similar to the t-test inputs.

Below, we show a chi-sqaured test that show a leakage and one that does not. In these two graphs we choose a threshold of 10^-5 and reason that the implementation is leaking if p-values are below the threshold.

Chi-squared test on Unprotected Ascon

Chi-squared test on Protected Ascon