Tractable Rational Map Signature

Digital signature schemes are crucial for applications in electronic commerce. The effectiveness and security of a digital signature scheme rely on its underlying public key cryptosystem. Trapdoor functions are central to public key cryptosystems. However, the modular exponentiation for RSA or the discrete logarithms for ElGamal/DSA/ECC, as the choice of the trapdoor functions, are relatively slow in performance. Some multivariate schemes has potentially much higher performance than other public key cryptosystems. We present a new multivariate digital signature scheme (TRMS) based on tractable rational maps. We also give some security analysis and some actual implementation data in comparison to some other signature schemes.