Abstract
In the paper two methods of linear approximation of n-bit arithmetic subtraction function are considered. In the first method, called the model of approximation of a single S-box, approximations are calculated for arbitrary m consecutive bits, where m ≤ n is limited by the size of so-called table of pairs TP, used during calculation. In the second method, called the model of exact composition of approximations, the subtraction approximations are calculated as a composition of k approximations of m-bit subtraction cells, where m ≤ n is limited by the size of the same table of pairs TP. In the first method, the set of nonzero approximations is limited to approximations in the range of m consecutive bits while in the second method is not limited. For n-bit arithmetic subtraction function however, the approximation probability can be calculated with use of the methods in time O(l) and O(k), respectively.
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Chmiel, K. (2005). On Arithmetic Subtraction Linear Approximation. In: Pejaś, J., Piegat, A. (eds) Enhanced Methods in Computer Security, Biometric and Artificial Intelligence Systems. Springer, Boston, MA. https://doi.org/10.1007/0-387-23484-5_12
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DOI: https://doi.org/10.1007/0-387-23484-5_12
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