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Attacks on cryptographic systems are limited by the available computationalresources. A theoretical understanding of these resource limitations is neededto evaluate the security of cryptographic primitives and procedures. This studyuses an Attacker versus Environment game formalism based on computability logicto quantify Shannon's work function and evaluate resource use in cryptanalysis.A simple cost function is defined which allows to quantify a wide range oftheoretical and real computational resources. With this approach the use ofcustom hardware, e.g., FPGA boards, in cryptanalysis can be analyzed. Appliedto real cryptanalytic problems, it raises, for instance, the expectation thatthe computer time needed to break some simple 90 bit strong cryptographicprimitives might theoretically be less than two years.

Quantifying Shannon's Work Function for Cryptanalytic Attacks