Abstract
The term dyadic derivative was coined by F. Pichler [9] for a differential operator introduced by J.E. Gibbs in 1967 [3] which was initially called the logic derivative since being acting on the set of binary n-tuples. Both names, the logic derivative and the dyadic derivative, are related with the property that this set equipped with the addition modulo 2 (EXOR) expresses the structure of a group \(C_{2}^{n}\) called the finite dyadic group, which is viewed as a natural domain to define binary-valued switching functions.
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Stanković, R.S., Astola, J.T., Moraga, C., Stanković, M., Gajić, D. (2015). Remarks on Characterization of Bent Functions in Terms of Gibbs Dyadic Derivatives. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_78
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