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- W2170089074 abstract "There exists a variety of procedures for partitioning the set of boolean functions into equivalence classes. The most compact algebraic procedure is the self-dualized classification. An alternative non-algebraic method involves the translation of the Rademacher/Walsh spectrum of a boolean function to canonic form. Two boolean functions are in the same spectral translation class if they have the same canonic spectrum. Here, we examine the connection between self-dualized and spectral classification. In particular, we identify the sequence of spectral operations equivalent to self-dualized classification, and show that each spectral equivalence class is the union of some number of self-dualized classes. This clearly shows spectral coefficient classification to be stronger than its algebraic counterparts." @default.
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- W2170089074 date "1986-07-01" @default.
- W2170089074 modified "2023-10-18" @default.
- W2170089074 title "A spectral characterization of the self-dualized classification of boolean functions" @default.
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- W2170089074 doi "https://doi.org/10.1080/00207218608920846" @default.
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