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Some Spectral Invariant Operations for Functions with Disjoint Products in the Polynomial Form

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Computer Aided Systems Theory – EUROCAST 2017 (EUROCAST 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10672))

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Abstract

It has long been known that some transformations of a binary function produce a permutation of some coefficients in the Walsh-Hadamard spectrum or just change the sign of some coefficients. Those operations are known as spectral invariant operations. In this paper some new spectral invariant operations are defined for the functions representable by disjoint quadratic polynomial forms. It is shown that these new invariant operations are useful for characterization of the bent functions.

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References

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Correspondence to Milena Stanković .

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Stanković, M., Moraga, C., Stanković, R.S. (2018). Some Spectral Invariant Operations for Functions with Disjoint Products in the Polynomial Form. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2017. EUROCAST 2017. Lecture Notes in Computer Science(), vol 10672. Springer, Cham. https://doi.org/10.1007/978-3-319-74727-9_31

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  • DOI: https://doi.org/10.1007/978-3-319-74727-9_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74726-2

  • Online ISBN: 978-3-319-74727-9

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