Abstract
Recently an arithmetic or “with carry” analog of the Walsh-Hadamard transform of Boolean functions was defined. In this paper we compute the arithmetic Walsh transforms of quadratic functions. We find that, as with traditional Walsh-Hadamard transform, the arithmetic Walsh spectrum of quadratic functions is very flat.
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Klapper, A. (2012). Arithmetic Walsh Transform of Quadratic Boolean Functions. In: Helleseth, T., Jedwab, J. (eds) Sequences and Their Applications – SETA 2012. SETA 2012. Lecture Notes in Computer Science, vol 7280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30615-0_6
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DOI: https://doi.org/10.1007/978-3-642-30615-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-30614-3
Online ISBN: 978-3-642-30615-0
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