Geometric cryptography

This field of study was suggested by Mike Burmester, Ronald L. Rivest and Adi Shamir in 1996.

[1] Geometric cryptography may have applications in the future once current mainstream encryption methods are made obsolete by quantum computing.

[2] Some of the geometric cryptographic methods are based on the impossibility of trisecting an angle using ruler and compass.

Assume that Alice wishes to establish a means of proving her identity later to Bob.

This protocol is an interactive proof of knowledge of the angle XA (the identity of Alice) with error 2−t.