On relations between ccz- and ea-equivalences
Webmations of functions, which de ne equivalence relations between vectorial Boolean func-tions. Two of these equivalence notions are, the extended a ne equivalence (EA-equivalence) and Carlet-Charpin-Zinoviev equivalence (CCZ-equivalence). EA-equivalence is a partic-ular case of CCZ-equivalence, which is the more general known equivalence ... http://www.kurims.kyoto-u.ac.jp/EMIS/journals/JACO/Volume35_3/p72q12l317124710.fulltext.pdf
On relations between ccz- and ea-equivalences
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Web1 de set. de 2024 · EA-equivalence is a particular case of CCZ-equivalence, which is the most general known equivalence relation preserving the differential uniformity. An important aspect of the study and the analysis of APN functions, and vectorial Boolean functions in general, is their classification with respect to these equivalence relations.
Web6 de abr. de 2024 · Recently Budaghyan et al. (Cryptogr. Commun. 12, 85–100, 2024) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In this paper, we show that it is possible to use this procedure for classifying, up to EA-equivalence, all known … WebResearchr. Researchr is a web site for finding, collecting, sharing, and reviewing scientific publications, for researchers by researchers. Sign up for an account to create a …
WebThis paper proves that every permutation that is CCZ-equivalent to the inverse function is already affine equivalent to it, and it is proved that there is no permutation polynomial of the form L_{1}(x^{-1})+L_{2} (x) over inline-formula. WebIt is known from Budaghyan et al. (IEEE Trans. Inf. Theory 52.3, 1141–1152 2006; Finite Fields Appl. 15(2), 150–159 2009) that for quadratic APN functions (both monomial and …
Web1 de jan. de 2024 · In [7] the authors investigate further the relation between CCZ-equivalence and EA-equivalence with inverse transformation. While, in [9] the authors …
WebCCZ equivalence is a coarser equivalence than EA equivalence and includes permu- tations and their inverses in the same equivalence class. It is currently very difficult to decide, either theoretically or computationally, whether two functions are CCZ equiva- lent, and if so, whether they are EA-inequivalent. The paper is organised as follows. some kind of hate sarah darer littmanWebWe prove that, for bent vectorial functions, CCZ-equivalence coincides with EA-equivalence. However, we show that CCZ-equivalence can be used for constructing bent functions which are new up to CCZ-equivalence. ... Note that the relation between CCZ-equivalence and EA-equivalence for (n,m)-functions in general has been further studied in [1], ... some kind of friend barry manilowWebWe prove that, for bent vectorial functions, CCZ-equivalence coincides with EA-equivalence. However, we show that CCZ-equivalence can be used for constructing bent functions … some kind of fun teenage headhttp://boolean.w.uib.no/files/2024/06/lilya.pdf some kind of happiness summaryWebOn relations between CCZ- and EA-equivalences. Lilya Budaghyan, Marco Calderini, Irene Villa. On relations between CCZ- and EA-equivalences. Cryptography and … some kind of hate 2015Web1 de set. de 2024 · In fact, to the best of our knowledge, it is not known how to partition a CCZ-equivalence class into its Extended-Affine (EA) equivalence classes; EA-equivalence being a simple particular case of ... some kind of hate misfitsWebsimple relation between special structures in the LAT of a function : F 2 →F 2 (or equivalently in its DDT) and the EA-classes of the functions CCZ-equivalent to it. … small business rate relief 2014