On the Fourier Spectra of the Infinite Families of Quadratic APN Functions

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dc.creatorBracken, Carl
dc.creatorZha, Zhengbang
dc.date2008-11-28
dc.date.accessioned2026-07-07T12:06:23Z
dc.date.available2026-07-07T12:06:23Z
dc.descriptionIt is well known that a quadratic function defined on a finite field of odd degree is almost bent (AB) if and only if it is almost perfect nonlinear (APN). For the even degree case there is no apparent relationship between the values in the Fourier spectrum of a function and the APN property. In this article we compute the Fourier spectrum of the new quadranomial family of APN functions. With this result, all known infinite families of APN functions now have their Fourier spectra and hence their nonlinearities computed.
dc.description12 pages, submitted to Adavances in the Mathematics of communication
dc.identifierhttps://arxiv.org/abs/0811.4718
dc.identifierhttp://arxiv.org/abs/0811.4718
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208638
dc.subjectInformation Theory
dc.subjectCryptography and Security
dc.subjectDiscrete Mathematics
dc.titleOn the Fourier Spectra of the Infinite Families of Quadratic APN Functions
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