As mobile devices usually have limited computing and storage resources

it is difficult to develop an anonymous two-party authentication scheme possessing performance efficiency and strong security simultaneously.The existing two-party authenticated key agreement schemes for roaming service do not resist the attack of ephemeral secrets reveal

and have high computation costs.Therefore

a new anonymous two-party authenticated key agreement scheme for roaming service was proposed in this paper

in which an efficiency identity-based signcryption scheme was adopted to achieve mutual authentication and unlinkability.The identity-based signcryption scheme is based on the Schnorr signature scheme

a very efficient elliptic curve digital signature algorithm

which greatly reduce the total computation cost during one authentication session in comparison with existing authentication schemes.Furthermore

to achieve the security of the ephemeral secrets reveal resistance in the new authentication scheme

we constructed a computational Diffie-Hellman problem instance that required two participants to compute a value by combining its own private key with its peer's public key

respectively.We extended the eCK model to model the two-party authenticated key agreement schemes for roaming service

discussed the distinction between the security game of authenticated key agreement schemes for mobile roaming service and the general one

and demonstrated that the new scheme was provably secure in the extended eCK model.The conclusion indicates that the security of the new scheme can be reduced to solve the computational Diffie-Hellman problem on an elliptic curve over finite field by a polynomial-time adversary.Comparative analysis shows that our scheme has stronger security

needs less cryptography library

and has lower computing and communication overheads.The new scheme can be used to provide secure roaming authentication for resource constrained mobile terminals in global mobility networks

Internet of things or ubiquitous networks.