Kleinian integer
# Kleinian integer

In mathematical cryptography, a Kleinian integer is a complex number of the form $m+n{\frac {1+{\sqrt {-7}}}{2}}$, with m and n rational integers. They are named after Felix Klein.

The Kleinian integers form a ring called the Kleinian ring, which is the ring of integers in the imaginary quadratic field $\mathbb {Q} ({\sqrt {-7}})$. This ring is a unique factorization domain.

