Matrix Construction

Given the 5x5 Table
272     138     341     131     151
366     199     130     320     18
226     245     91      245     226
18      320     130     199     366
151     131     341     138     272

We can see that only the first 13 numbers will hold any useful information, the rest is just repeated/padding.  Assuming this somehow holds an onion we need to be able to encode 16-24 characters within that space.

One possible method would be to take an onion URL such as 'fakeonionarefakedotonion' and encode it in Base36.

Result: 9538171002527492254983013983859845719

Now split this number into blocks of three.
953,817,100,252,749,225,498,301,398,385,984,571,9

Truncate the last digit and reverse the sequence and append it.

Result:
953,817,100,252,749,225,498,301,398,385,984,571,9,571,984,385,398,301,498,225,749,252,100,817,953

Convert to a 5x5 Table
Result:
953     817     100     252     749
225     498     301     398     385
984     571     9       571     984
385     398     301     498     225
749     252     100     817     953

Now to successfully decode read each row left to right and stop at 9, reassemble into the big number and convert back to Base36.

Result:
fakeonionarefakedotonion

Flaws:
Positions such where a triplet fell on a leading zero such as 007, would incorrectly become 7.  This could be mitigated by simply generating another Onion hash.

This square is not magic.  However, it may be possible to make it magic with some constant addition or subtraction.


-SepheusIX