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Fighting the Symmetries: The Structure of Cryptographic Boolean Function Spaces

Picek, Stjepan; McKay, Robert Ian; Santana, Roberto; Gedeon, Tamas (Tom)


We explore the problem space of maximum nonlinearity problems for balanced Boolean functions, examining the symmetry structure and fitness landscapes in the most common (bit string) representation. We present theoretical analyses of well understood aspects, together with detailed enumeration of the 4-bit problem, sampling of the 6-bit problem based on known optima, and sampling of the 8-bit problem based on its fittest known solutions. We show that these problems have many more symmetries than...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Conference paper
Source: GECCO '15 Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation
DOI: 10.1145/2739480.2754739


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