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- W4224992603 abstract "In this work, we present two new families of quadratic APN functions. The first one (F1) is constructed via biprojective polynomials. This family includes one of the two APN families introduced by Golov{g}lu in 2022. Then, following a similar approach as in Li emph{et al.} (2022), we give another family (F2) obtained by adding certain terms to F1. As a byproduct, this second family includes one of the two families introduced by Li emph{et al.} (2022). Moreover, we show that for $n=12$, from our constructions, we can obtain APN functions that are CCZ-inequivalent to any other known APN function over $mathbb{F}_{2^{12}}$." @default.
- W4224992603 created "2022-04-28" @default.
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- W4224992603 date "2022-04-15" @default.
- W4224992603 modified "2023-10-16" @default.
- W4224992603 title "Two new families of bivariate APN functions" @default.
- W4224992603 doi "https://doi.org/10.48550/arxiv.2204.07462" @default.
- W4224992603 hasPublicationYear "2022" @default.
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