USE THIS SAFARICOM TRICK TO MAKE SAFARICOM AIRTIME IMMEDIATELY BEFORE THEY BLOCK IT
The grouping of the hidden reload number into four digits does not reveal the mechanics of the number generator.
Increasing the hidden reload number by a factor of four digits provides more data for statistical analysis.
The hidden reload numbers are separated into groups of four digits only for the purposes of ease of reading.
The hidden reload number represents a 16 digit number generated by a random number generator.
With the assumptions in place I set to curate the data set, my collection of scratch cards came in handy (448 in number).
In understanding each digit has relevance with its position, I created a
data set with 16 variables each holding the positional value of the
digits as shown below with an additional column of sum of the digits.
Next, I asked the question, what if within the digits there is a
pair that is linearly or otherwise dependent. So, I set my favorite
software WEKA to find any rules within the data in a process known as
association mining. Running the apriori algorithm with default settings
produced results shown below:
From the results I knew I was onto something, there is a relation
between the third and sixth digit with a confidence interval of 1 (meaning the rule always works).
To better understand the relation I loaded the dataset to R statistical
analysis software and used the plot() function to visually inspect the
relation between the two variables. The diagram below made me go
Bazinga! It is a linear equation.
If X > 0, Y=X-1, otherwise Y = 9. Simply put, if the third number in
the scratch card is greater than 0 then the sixth number is the third
number minus one, but if the third number is 0 then the sixth number is
9. Pick up any card and test the formula, in a cryptanalytic sense, I’ve
broken part of the code used to generate the hidden reload number of
Safaricom scratch cards.
