On relations between ccz- and ea-equivalences

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August undefined, 2024

http://boolean.w.uib.no/files/2024/06/lilya.pdf 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.

On CCZ-Equivalence, Extended-Affine Equivalence, and Function

Web10 de mar. de 2024 · On CCZ-Equivalence of the Inverse Function March 2024 Authors: Lukas Kolsch Abstract The inverse function $x \mapsto x^ {-1}$ on $\mathbb F_ {2^ {n}}$ is one of the most studied functions in... 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 … raycraft boats for sale

On relations between CCZ- and EA-equivalences

Web1 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 … 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- WebIn the present paper we introduce some sufficient conditions and a procedure for checking whether, for a given function, CCZ-equivalence is more general than EA-equivalence … simple starving to be safe lyrics

On CCZ-Equivalence, Extended-Affine Equivalence, and

Irene Villa - researchr alias

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 … 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 … ray craft and sonsWebfor a given function, CCZ-equivalence is more general than EA-equivalence together with taking inverses of permutations. It is known from [8,6] that for quadratic APN … simple starvation vs stress starvation

"WebCCZ-construction of Bent Functions Although for bent functions CCZ -and EA-equivalences coincide, constructing new bent functions using CCZ-equivalence is possible[B., Carlet 2011]. A few inﬁnite families of bent Boolean and vectorial functions are constructed by applying CCZ-equivalence to non-bent vectorial functions with bent … " - On relations between ccz- and ea-equivalences

On relations between ccz- and ea-equivalences

Recovering or Testing Extended-Affine Equivalence

WebOn relations between CCZ- and EA-equivalence Lilya Budaghyan Marco Calderini Irene Villa Received: date / Accepted: date Abstract In the present paper we introduce some sufﬁcient conditions and a procedure for checking whether, for a given function, CCZ-equivalence is more general than EA-equivalence together with taking inverses of … WebThe 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 …

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WebOn relations between CCZ- and EA-equivalences. Cryptography and Communications. 2024;12:85-100: eng: dc.identifier.issn: 1936-2455: en_US: dc.identifier.issn: 1936-2447: en ... we prove that for power non-Gold APN functions, CCZ equivalence coincides with EA-equivalence and inverse transformation for n ≤ 8. We conjecture that this is true for ... 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 ...

http://boolean.w.uib.no/files/2024/06/marco.pdf Webthese relations we have the so-called CCZ- and EA-equivalences, and it is im-portant when several functions are considered, to determine whether they corre-spond to each other by such equivalences. CCZ-equivalence is the most general known equivalence relation preserving the APN property [15].

WebOn relations between CCZ and EA-equivalences Marco Calderini (joint work with Lilya Budaghyan and Irene Villa) University of Bergen Boolean Functions and their Applications June 17-22, 2024. Notations and de nitions PN and APN functions: Let F : Fn 2!Fm 2 be a Vectorial Boolean function. WebFilter by Top Terms. OR AND NOT 1. apn

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Web7 de abr. de 2012 · CCZ- and EA-equivalence, ... On relations between CCZ- and EA-equivalences. 15 May 2024. L. Budaghyan, ... 20 April 2024. Richard L. Kramer & … ray coyer simple start battery chargerWeb1 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 … raycraft boatsWebOn relations between CCZ- and EA-equivalences L. Budaghyana, M. Calderinia, I. Villaa aDepartment of informatics, University of Bergen Abstract In the present paper we … raycraft boats manufacturerWeb27 de jul. de 2024 · CCZ-equivalence is strictly more general than EA-equivalence combined with taking inverses , but in certain cases, such as for quadratic and monomial … raycraft constructionWeb1 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. simple star wallpaperWebTatra Mt. Math. Publ. 45 (2010), 15–25 DOI: 10.2478/v10127-010-0002-0 PLANAR FUNCTIONS AND COMMUTATIVE SEMIFIELDS Lilya Budaghyan — Tor Helleseth simple start vs self employed quickbooks