论文标题
某些正交阵列的不存在,四个
On the nonexistence of certain orthogonal arrays of strength four
论文作者
论文摘要
我们表明,没有$λ= 6 $和$λ= 7 $的正交数组$ oa(16λ,11,2,4)$。这解决了Nsucrypto Olympiad 2018的开放问题。我们的结果使我们能够确定某些高阶相关 - 免疫布尔功能的最小权重。
We show that no orthogonal arrays $OA(16 λ, 11, 2,4)$ exist with $λ=6$ and $λ=7$. This solves an open problem of the NSUCRYPTO Olympiad 2018. Our result allows us to determine the minimum weights of certain higher-order correlation-immune Boolean functions.