Abstract
Considered are quadratic p-ary bent functions having the form \(f(x)={\rm Tr}_n(a x^{p^j+1})\). Described is the general Gold-like class of bent functions that covers all the previously known monomial quadratic cases. Obtained is the exact value of the Walsh transform coefficients for a bent function in this class. In particular, presented is an explicit expressions for a dual of a monomial quadratic bent function which is a bent functions on its own. This gives new examples of generalized bent functions not previously reported in the literature. The paper is the follow-up to Helleseth-Kholosha 2006.
This work was supported by the Norwegian Research Council.
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Helleseth, T., Kholosha, A. (2007). On the Dual of Monomial Quadratic p-ary Bent Functions. In: Golomb, S.W., Gong, G., Helleseth, T., Song, HY. (eds) Sequences, Subsequences, and Consequences. Lecture Notes in Computer Science, vol 4893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77404-4_5
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DOI: https://doi.org/10.1007/978-3-540-77404-4_5
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