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 ... WebOn relations between CCZ and EA-equivalences Marco Calderini Department of Informatics, University of Bergen, Norway joint work with: Lilya Budaghyan, Irene Villa …
On relations between ccz- and ea-equivalences
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http://boolean.w.uib.no/files/2024/06/marco.pdf 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.
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. … 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 & …
http://boolean.w.uib.no/files/2024/06/lilya.pdf 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 ...
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.
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 … dyson boardWeb1 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 … dyson blueprintWebCCZ 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- dyson blue hair dryerWebfor 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 … dyson body \\u0026 big cyc service assy nk lcd /hcWebFilter by Top Terms. OR AND NOT 1. apn dyson boardroom imperialhttp://www.kurims.kyoto-u.ac.jp/EMIS/journals/JACO/Volume35_3/p72q12l317124710.fulltext.pdf dyson board membersWeb27 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 … dyson blue hair wrap