Extended Cantor's Algorithm for Non-Singular Hyperelliptic curves to Singular Hyperelliptic curves

Abstract

There are many applications for elliptic curves in cryptography.Cantor's algorithm relies on the Mumford representation of the points in jacobians. This compact representation of points in jacobians and Cantor's algorithm make non-singular hyperelliptic curves suitable for many applications in cryptography. This paper show the extension of cantor's representation for singular hyperelliptic curves.