site stats

On relations between ccz- and ea-equivalences

WebOn relations between CCZ- and EA-equivalences. Lilya Budaghyan, Marco Calderini, Irene Villa. On relations between CCZ- and EA-equivalences. Cryptography and … 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.

Lilya Budaghyan Universitetet i Bergen

http://boolean.w.uib.no/files/2024/06/marco.pdf Web7 de mar. de 2024 · Moreover a CCZ equivalent function of a d-uniform function is again d-uniform, see Proposition 4.4 below. To decide the possible CCZ equivalence of two … on the water calendar https://uasbird.com

On the EA-classes of known APN functions in small dimensions

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 … WebRelation between CCZ- and EA-equivalences Cases when CCZ-equivalence coincides with EA-equivalence: I Boolean functions, m = 1. (Budaghyan and Carlet) I Bent functions. (Budaghyan and Carlet) I Two quadratic APN functions. (Yoshiara) I A power function F is CCZ-equivalent to a power function F0i F is EA-equivalent to F0or F0 1. 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 … on the water boat training near me

On CCZ-equivalence and its use in secondary constructions of

Category:On relations between CCZ- and EA-equivalences Cryptography …

Tags:On relations between ccz- and ea-equivalences

On relations between ccz- and ea-equivalences

On relations between CCZ and EA-equivalences

WebOn relations between CCZ and EA-equivalences Marco Calderini (joint work with Lilya Budaghyan and Irene Villa) University of Bergen Boolean Functions and their … WebCCZ and EA Equivalence between Mappings over Finite Abelian Groups. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.121-130. ￿inria- ... Charpin and Zinoviev introduced an equivalence relation, as a gen-eralization of the extended affine equivalence, on the set of vectorial Boolean func-

On relations between ccz- and ea-equivalences

Did you know?

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 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], ... 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 …

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 set. de 2024 · Paper 2024/796 On relations between CCZ- and EA-equivalences. Lilya Budaghyan, Marco Calderini, and Irene Villa Abstract. In the present paper we …

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 · As EA-equivalence and CCZ-equivalence are equivalence relations, and since EA-equivalence is a particular case of CCZ-equivalence, it is possible to partition the space of all functions F2n→F2minto CCZ-equivalence classes and then to partition each CCZ-equivalence class into EA-equivalence classes.

WebOn relations between CCZ and EA-equivalences Marco Calderini Department of Informatics, University of Bergen, Norway joint work with: Lilya Budaghyan, Irene Villa … on the water cafe lee on solentWebThe problems discussed are related to the problem of relation between CCZ-and EA-equivalences for power APN functions. This was studied in [5].Regarding Q1, the … on the water computer applicationWebTatra Mt. Math. Publ. 45 (2010), 15–25 DOI: 10.2478/v10127-010-0002-0 PLANAR FUNCTIONS AND COMMUTATIVE SEMIFIELDS Lilya Budaghyan — Tor Helleseth on the water estate salesWeb1 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 … ios force update appWebWe 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 the water boat show aucklandWebmations 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 ... on the water clothinghttp://www.kurims.kyoto-u.ac.jp/EMIS/journals/JACO/Volume35_3/p72q12l317124710.fulltext.pdf on the water exchange through bering strait