Signature Scheme Using the Root Extraction Problem on Quaternions

الملخص EN

The root extraction problem over quaternion rings modulo an RSA integer is defined, and the intractability of the problem is examined.

A signature scheme is constructed based on the root extraction problem.

It is proven that an adversary can forge a signature on a message if and only if he can extract the roots for some quaternion integers.

The performance and other security related issues are also discussed.