Generalized RSA/DH/ECC via Geometric Cryptosystem

Abstract

A scheme is presented based on numbers that represent a manifold in $d$ dimensions for generalizations of textbook cryptosystems. The interlocking or intersection of geometries, requiring the addition of a series of integers $q_j$, can be used to enhance a cryptosystem via algorithms based on the form of the geometry. Further operations besides addition of these numbers, e.g. sewing of the geometries, can be given such as rotations or contractions.