The set of euclidean boolean numbers with respect to $N \in \{ 1, 2, 3, \ldots \}$ is the D11: Set
\begin{equation}
\{ 0, 1 \}^N
= \prod_{n = 1}^N \{ 0, 1 \}
\end{equation}
Let $\mathbb{B} = \{ 0, 1 \}$ be the D217: Set of boolean numbers.
The set of euclidean boolean numbers with respect to $N \in \{ 1, 2, 3, \ldots \}$ is the D11: Set
\begin{equation}
\mathbb{B}^N
= \prod_{n = 1}^N \mathbb{B}
\end{equation}
