Sonmez Turan, M.
(2024),
Optimizing Implementations of Boolean Functions, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=956601
(Accessed December 21, 2024)
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Optimizing Implementations of Boolean Functions
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Abstract
Symmetric cryptography primitives are constructed by iterative applications of linear and nonlinear layers. Constructing efficient circuits for these layers, even for the linear one, is challenging. In 1997, Paar proposed a heuristic to minimize the number of XORs (modulo 2 addition) necessary to implement linear layers. In this study, we slightly modify Paar's heuristics to find implementations for nonlinear Boolean functions, in particular to homogeneous Boolean functions. Additionally, we show how this heuristic can be used to construct circuits for generic Boolean functions with small number of AND gates, by exploiting affine equivalence relationsPub Type
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Keywords
Boolean functions, circuit complexity, implementation
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Created January 31, 2024, Updated February 1, 2024