In this work, we present a new family of quadratic APN functions constructed via biprojective polynomials. Our family includes one of the two APN families introduced by G\"olo\v{g}lu in 2022. Moreover, we show that for n = 12, from our construction, we can obtain APN functions that are CCZ-inequivalent to any other known APN function over $\mathbb{F}_{2^{12}}$.

翻译：在这项工作中,我们展示了一个通过双投多球形构筑的四端APN功能的新家庭。我们的家庭包括G\"olo\v{g}lu在2022年引进的两个APN家庭之一。此外,我们证明,对于n=12,从我们的建筑中,我们可以获得CCZ等同其他已知APN功能的APN功能,这些功能超过$\mathbb{F ⁇ 2 ⁇ 12$。