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Partially answers a question raised by J. R. Coates, who asks if there are fundamental, logical, and mathematical principles by which one could conclude the existence of uncrackable databanks. If both protector and intruder have finite but unlimited resources, then it appears that an uncrackable databank as defined by Coates cannot, in principle, exist. If protector and intruder have limited resources, however, then an uncrackable databank may exist. 14 pp. Ref.

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