a single OTP for a limited number of secure messages?

From: C3 (gned_at_telsmonopolytradotcom.remove.monopoly))
Date: 04/03/04


Date: Sat, 3 Apr 2004 23:01:48 +1000

Here is a conjecture which I would like to put on the table. Suppose Alice
somehow comes up with a string of N perfectly random numbers. Alice will use
this as a OTP to send a single (initial) message to Bob. The two meet in a
dark alley, and Alice hands the piece of paper to Bob.

Basically, every message that Alice or Bob each sends contains N/2 bits, and
the other N/2 bits contain a random key that the receiver will use as a
Reply. N is the total number of bits in the previously received message, and
some number initially.

I think that there is no way for them to keep exchanging messages of N bits
securely, but will their ever shorter messages (N, N/2, N/4, ...) be
completely secure?

If so, by making N sufficiently large, could this be used as a completely
secure messaging system for a limited number of messages?

cheers,

C3



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