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.

See also

• Eisenstein integer
• Gaussian integer

References

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