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An efficient characterization of a family of hyperbent functions with multiple trace terms

Abstract : Lisoněk recently reformulated the characterization of Charpin and Gong of a large class of hyperbent functions in terms of cardinalities of curves. In this note, we show that such a reformulation can be naturally extended to a distinct family of functions proposed by Mesnager. Doing so, a polynomial time and space test is obtained to test the hyperbentness of functions in this family. Finally we show how this reformulation can be transformed to obtain a more efficient test.
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https://hal.archives-ouvertes.fr/hal-00642289
Contributor : Jean-Pierre Flori Connect in order to contact the contributor
Submitted on : Thursday, November 17, 2011 - 5:14:07 PM
Last modification on : Monday, January 24, 2022 - 11:43:20 AM
Long-term archiving on: : Friday, November 16, 2012 - 11:21:24 AM

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  • HAL Id : hal-00642289, version 1

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Jean-Pierre Flori, Sihem Mesnager. An efficient characterization of a family of hyperbent functions with multiple trace terms. 2011. ⟨hal-00642289⟩

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