If this were my problem, I'd be reaching for a database immediately. My first column is the key and consists of your character string; the second column is a monotonically increasing INT of the longest precision I can get.
Almost any other 'algorithmic-mapping' solution is going to give you fits down the line when your mapping scheme encounters strings that generate integers that won't fit into your remote system's idea of INT. (Now if this is just a one-off to help get converted away from that silly system, go ahead with the algorithmic mapping, it's going to be less resource-intensive.)
But, if it were me, I'd still go with the database, though (SQLite probably). One-Offs have a nasty habit of hanging around for a long time....
Update -- corrected first word =~ /I/If/
----
I Go Back to Sleep, Now.
OGB
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