Cryptology The Chi Distribution for Short Random Texts

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We construct random text by taking 104000 random numbers between 0 and 25 from random.org and convert them to a random text.

We count the χ-values of 2000 pairs of 26 letter chunks and use a spreadsheet.

The figure and table show some characteristics of the distribution.

To get χ-values divide x-values in the graphic by 26 x 26 = 676.

Distribution of χ for 2000 random text pairs of 26 letters

Minimum:	0.0178
Median:	0.0385		Mean value:	0.0386
Maximum:	0.0680		Standard dev:	0.0075
1st quartile:	0.0340		5% quantile:	0.0266
3rd quartile:	0.0429		95% quantile:	0.0518