WebIn the literature, there are many APN-like functions that generalize the APN properties or are similar to APN functions, e.g. locally-APN functions, 0-APN functions or those with … WebFeb 21, 2012 · Alexander Pott and Yves Edel discovered a new ccz class represented by a cubic mapping i.e. a cubic APN which is not ccz quadratic. In On the classification of APN …

Two Classes of Quadratic APN Binomials Inequivalent to Power …

WebOct 26, 2024 · Recently, the investigation of Partially APN functions has attracted a lot of attention. In this paper, with the help of resultant elimination and MAGMA, we propose … Webinfinite families. Constructing APN functions is thus a very difficult problem, especially when APN-ness is combined with other desirable properties such as bijectivity. In this paper, we … rutledge medical centre queanbeyan

Two new infinite families of APN functions in trivariate form

WebSep 27, 2024 · For one thing, we find two infinite classes of locally-APN but not APN power functions over \gf 2 2 m with m even, i.e., F 1 ( x) = x j ( 2 m − 1) with gcd ( j, 2 m + 1) = 1 … WebWe present two infinite families of APN functions in triviariate form over finite fields of the form F 2 3 m. We show that the functions from both families are permutations when m is … WebSep 27, 2024 · More infinite classes of APN-like Power Functions. Longjiang Qu, Kangquan Li. In the literature, there are many APN-like functions that generalize the APN properties … rutledge manion rabaut terry \u0026 thomas pc