Abstract
Calculating the distribution of certain functions during the linear cryptanalysis of stream ciphers is a frequently encountered problem. Let a function N (or a noise variable) be expressed via k mutually independent and uniformly distributed n-bit random variables X1,X2, . . . , Xk. The possibility to construct its distribution depends on the form of the expression N, and sometimes it becomes a bottleneck of the cryptanalysis. In this paper we propose several new techniques to construct such distributions and widen the class of functions for which its distribution can efficiently be calculated.
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