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- W1568909586 abstract "We use combinatorial methods and permutation groups to classify homogeneous boolean functions. The property of symmetry of a boolean function limits the size of the function's class. We exhaustively searched for all boolean functions on V6. We found two interesting classes of degree 3 homogeneous boolean functions: the first class is degree 3 homogeneous bent boolean functions; and the second is degree 3 homogeneous balanced boolean functions. Both the bent and balanced functions discovered have nice algebraic and combinatorial structures. We note that some structures can be extended to a large boolean space. The application of homogeneous boolean functions for fast implementation on parallel architectures is mooted." @default.
- W1568909586 created "2016-06-24" @default.
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- W1568909586 date "1999-01-01" @default.
- W1568909586 modified "2023-09-27" @default.
- W1568909586 title "On the Symmetric Property of Homogeneous Boolean Functions" @default.
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- W1568909586 doi "https://doi.org/10.1007/3-540-48970-3_3" @default.
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