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October 29th, 2016, 05:54 AM   #1
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I have a Math problem for an MVP app

The app is suppose to allow an individual or company use 3 characters to find each other. eg: EX1 , 007, G46, etc... within the scope of a-z and 0-9 to accommodate over 9 billion people. the question is the combinations of characters are limited. Looking for a mathematician to solve this problem in the best possible way.

Last edited by infcreations; October 29th, 2016 at 06:21 AM.
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October 29th, 2016, 10:52 AM   #2
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you have an "alphabet" of 36 characters.

you have 3 of these characters to a code.

there are $36^3= 46656$ unique codes.

You're going to either need a larger alphabet or more characters per code.

You can see that adding more chars per code will be much more effective.

For example increasing it to 5 gets you $36^5 = 60,466,176$ unique codes

If you leave your alphabet alone you will need a 7 digit code to get to 9 billion unique codes.

$36^6 = 2,176,782,336$

$36^7 = 78,364,164,096$

If you doubled the size of your alphabet somehow. You would still need 6 digits per code to get over 9 billion unique codes.

Much easier to just use your original alphabet and 7 digit codes.
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