Efficient Signature Schemes Based on Polynomial Equations

Signatures based on polynomial equations modulo n have been introduced by Ong, Schnorr, Shamir [3]. We extend the original binary quadratic OSS-scheme to algebraic integers. So far the generalised scheme is not vulnerable by the recent algorithm of Pollard for solving s 1 2 + k s 2 2 = m (mod n) which has broken the original scheme.