On relations between ccz- and ea-equivalences
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 … Websimple 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. …
On relations between ccz- and ea-equivalences
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Web24 de nov. de 2014 · By generalizing these processes, we obtain a much strengthened formula for all the graph equivalences which define the EA equivalence class of a given …
WebOn relations between CCZ- and EA-equivalences L. Budaghyana, M. Calderinia, I. Villaa aDepartment of informatics, University of Bergen Abstract In the present paper we … 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.
Web1 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 ... Web• EA-equivalence for all vectorial bent functions with p even [9]. It is useful to know cases where CCZ- and EA-equivalences coincide because in general it is very difficult to determine whether two functions are CCZ-equivalent or not while EA-equivalence is much simpler and has a nice invariant, algebraic degree of a function. Nowadays, CCZ ...
Web1 de mar. de 2024 · Furthermore, we show that it is possible to navigate between the EA-classes in the CCZ-class of a function using an operation which we call t-twisting, where …
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. sonata lowering springsWebmations 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 ... small deck boats for fishingWeb1 de jan. de 2024 · The problems discussed are related to the problem of relation between CCZ-and EA-equivalences for power APN functions. This was studied in [5] . Regarding … sonata men watchesWebWe 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], ... sonata men\u0027s watchWebOn relations between CCZ and EA-equivalences Marco Calderini (joint work with Lilya Budaghyan and Irene Villa) University of Bergen Boolean Functions and their … sonata living facilityIt is easy to see that the set\Im (A_{2}^{*})iscontained inSF(see (3)). Along this section we denote by Span(v1,…,vm) the vector (sub)space over {\mathbb F}_{2} generated by the elements v_{1},\dots ,v_{m} \in {\mathbb F}_{2^n}. Now, to construct the possible functions F1 we should consider all the vector … Ver mais Without loss of generality, fixing any basis{u1,…,uk} ofU (where k is the dimension of U) and fixing a basis{β1,...,βn} of{\mathbb F}_{2^n}(asa vector space over{\mathbb F}_{2}),we can suppose … Ver mais For anyu ∈ U ∖{0} we considerthe set\mathcal {Z}\mathcal {W}(u), as definedbefore. To constructA1we need to determine the images of the vectorsβi’s.In order to do that, we … Ver mais As stated in [21, Theorem 2.3] for any linear polynomialL(x) we have that,given a basis {β1,...,βn} of{\mathbb F}_{2^n}, thereexist unique𝜃1,...,𝜃nin{\mathbb F}_{2^n}suchthatL(x)={\sum }_{i=1}^{n} \text {Tr}(\beta … Ver mais LetU be a subspace contained inSF, whereF is a function from{\mathbb F}_{2^n}toitself andSFdefined as in (4). Then, there exists a permutationof{\mathbb … Ver mais sonata mileage refundWebFilter by Top Terms. OR AND NOT 1. apn sonata musical form screenwriting