We can explain more about how the numbers involved in all this work into the system. First, there is apparently quite a problem with Bob’s initial task. The number m is big, the number n is monstrous(of the order of 200 digits)and even ife is not that large, the number me is going to be extremely large as well. After calculating it, we have to divide me by the number nto get the remainder r, which represents the enciphered text. It might seem that the calculations are too unwieldy to be practical. We should be aware that even though modern computers are extremely powerful, they yet have their limitations. When calculations involve very high powers, they can exceed the capacity ofany computer system. We certainly cannot assume that any practical calculation that we set for a computer can be done in a short period oftime.
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