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At first glance it seems as though an exhaustive key search is possible against an OTP system. Given is a short message, lets say 5

At first glance it seems as though an exhaustive key search is possible against an OTP system. Given is a short message, let’s say 5 ASCII characters represented by 40 bit, which was encrypted using a 40-bit OTP. Explain exactly why an exhaustive key search will not succeed even though sufficient computational resources are available. This is a paradox since we know that the OTP is unconditionally secure.

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