A Certificate less Multiple-key Agreement Protocol without Hash Functions Based on Bilinear Pairings

Abstract—Certificate ess cryptosystems were proposed by Al-Riyami and Paterson in 2003 [1] to solve problems of public key cryptosystems based on PKI and based on identity. Up to now, various types of certificate less cryptographic primitives as encryption functions, signature schemes, key agreement protocols and etc, have been designed. But to the best of our knowledge, multiple-key agreement protocols have not been proposed based on certificate less cryptosystem yet. So in this paper we propose a certificate less authenticated multiple-key agreement protocol with bilinear pairings.