Web17 de fev. de 2024 · On relations between CCZ- and EA-equivalences. Article. Full-text available. Jan 2024; Lilya Budaghyan; ... CCZ equivalence coincides with EA-equivalence and inverse transformation for n ≤ 8. WebWe 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 …
On CCZ-Equivalence, Extended-Affine Equivalence, and
WebCCZ-equivalence and Boolean functions. Book of abstracts of the 9-th International Conference on Finite Fields and Their Applications, Fq'09, Dublin, July 2009. * L.Budaghyan and C.Carlet. On CCZ-equivalence and its use in secondary constructions of bent functions. Preproceedings of WCC 2009, Ullensvang, Norway, May 2009. 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 … simple joys sleeper gowns
On Subspaces of Kloosterman Zeros and Permutations of
WebWe prove hereby that for non-quadratic APN functions CCZ-equivalence can be more general (by studying the only known APN function which is CCZ-inequivalent to both … WebKeywords APN functions · Quadratic functions ·CCZ-equivalence ·Extended affine equivalence 1 Introduction In this paper, we will show the following statement, which was first conjectured by Edel (see Definition 2 and Definition 1 for the exact definitions of notions such as quadratic APN functions and 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 ... rawr beauty reviews