Entity authentication and key distribution
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
Provably secure session key distribution: the three party case
STOC '95 Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
Batch exponentiation: a fast DLP-based signature generation strategy
CCS '96 Proceedings of the 3rd ACM conference on Computer and communications security
Handbook of Applied Cryptography
Handbook of Applied Cryptography
An Efficient Protocol for Authenticated Key Agreement
Designs, Codes and Cryptography
Analysis of Key-Exchange Protocols and Their Use for Building Secure Channels
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
The Gap-Problems: A New Class of Problems for the Security of Cryptographic Schemes
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
Validation of Elliptic Curve Public Keys
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
Minimizing the use of random oracles in authenticated encryption schemes
ICICS '97 Proceedings of the First International Conference on Information and Communication Security
A Key Recovery Attack on Discrete Log-based Schemes Using a Prime Order Subgroupp
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
Obtaining a secure and efficient key agreement protocol from (H)MQV and NAXOS
Designs, Codes and Cryptography
An ID-based authenticated key exchange protocol based on bilinear Diffie-Hellman problem
Proceedings of the 4th International Symposium on Information, Computer, and Communications Security
Authenticated key exchange secure against dictionary attacks
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Stronger security of authenticated key exchange
ProvSec'07 Proceedings of the 1st international conference on Provable security
Authenticated key exchange and key encapsulation in the standard model
ASIACRYPT'07 Proceedings of the Advances in Crypotology 13th international conference on Theory and application of cryptology and information security
The twin Diffie-Hellman problem and applications
EUROCRYPT'08 Proceedings of the theory and applications of cryptographic techniques 27th annual international conference on Advances in cryptology
On the importance of public-key validation in the MQV and HMQV key agreement protocols
INDOCRYPT'06 Proceedings of the 7th international conference on Cryptology in India
HMQV: a high-performance secure diffie-hellman protocol
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
A new security model for authenticated key agreement
SCN'10 Proceedings of the 7th international conference on Security and cryptography for networks
Hierarchical ID-based authenticated key exchange resilient to ephemeral key leakage
IWSEC'10 Proceedings of the 5th international conference on Advances in information and computer security
Designing efficient authenticated key exchange resilient to leakage of ephemeral secret keys
CT-RSA'11 Proceedings of the 11th international conference on Topics in cryptology: CT-RSA 2011
Proceedings of the 6th ACM Symposium on Information, Computer and Communications Security
Leakage resilient eCK-secure key exchange protocol without random oracles
Proceedings of the 6th ACM Symposium on Information, Computer and Communications Security
ProvSec'11 Proceedings of the 5th international conference on Provable security
TMQV: a strongly eCK-secure Diffie-Hellman protocol without gap assumption
ProvSec'11 Proceedings of the 5th international conference on Provable security
Strongly secure one round authenticated key exchange protocol with perfect forward security
ProvSec'11 Proceedings of the 5th international conference on Provable security
Characterization of strongly secure authenticated key exchanges without NAXOS technique
IWSEC'11 Proceedings of the 6th International conference on Advances in information and computer security
Sufficient condition for ephemeral key-leakage resilient tripartite key exchange
ACISP'12 Proceedings of the 17th Australasian conference on Information Security and Privacy
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LaMacchia, Lauter and Mityagin [15] proposed the extended Canetti-Krawczyk (eCK) model and an AKE protocol, called NAXOS. Unlike previous security models, the adversary in the eCK model is allowed to obtain ephemeral secret information related to the test session, which makes the security proof difficult. To overcome this NAXOS combines an ephemeral private key x with a static private key a to generate an ephemeral public key X ; more precisely X = g H (x ,a ). As a result, no one is able to query the discrete logarithm of X without knowing both the ephemeral and static private keys. In other words, the discrete logarithm of an ephemeral public key, which is typically the ephemeral secret, is hidden via an additional random oracle. In this paper, we show that it is possible to construct eCK-secure protocol without the NAXOS' approach by proposing two eCK-secure protocols. One is secure under the GDH assumption and the other under the CDH assumption; their efficiency and security assurances are comparable to the well-known HMQV [12] protocol. Furthermore, they are at least as secure as protocols that use the NAXOS' approach but unlike them and HMQV, the use of the random oracle is minimized and restricted to the key derivation function.