Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
Strong password-only authenticated key exchange
ACM SIGCOMM Computer Communication Review
Elliptic curves in cryptography
Elliptic curves in cryptography
Encrypted Key Exchange: Password-Based Protocols SecureAgainst Dictionary Attacks
SP '92 Proceedings of the 1992 IEEE Symposium on Security and Privacy
Number theoretic attacks on secure password schemes
SP '97 Proceedings of the 1997 IEEE Symposium on Security and Privacy
Authenticated key exchange secure against dictionary attacks
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Provably secure password-authenticated key exchange using Diffie-Hellman
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Security proofs for an efficient password-based key exchange
Proceedings of the 10th ACM conference on Computer and communications security
Security analysis of a password-based authentication protocol proposed to IEEE 1363
Theoretical Computer Science
An Elliptic Curve Based Authenticated Key Agreement Protocol for Wireless Security
Computational Intelligence and Security
Anonymous and Transparent Gateway-Based Password-Authenticated Key Exchange
CANS '08 Proceedings of the 7th International Conference on Cryptology and Network Security
Efficient indifferentiable hashing into ordinary elliptic curves
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
Estimating the size of the image of deterministic hash functions to elliptic curves
LATINCRYPT'10 Proceedings of the First international conference on Progress in cryptology: cryptology and information security in Latin America
Password based key exchange protocols on elliptic curves which conceal the public parameters
ACNS'10 Proceedings of the 8th international conference on Applied cryptography and network security
Deterministic encoding and hashing to odd hyperelliptic curves
Pairing'10 Proceedings of the 4th international conference on Pairing-based cryptography
A secure mobile agent protocol for AMR systems in home network environments
ICOIN'05 Proceedings of the 2005 international conference on Information Networking: convergence in broadband and mobile networking
The Twist-AUgmented technique for key exchange
PKC'06 Proceedings of the 9th international conference on Theory and Practice of Public-Key Cryptography
Robust smart-cards-based user authentication scheme with user anonymity
Security and Communication Networks
Cryptanalysis of a communication-efficient three-party password authenticated key exchange protocol
Information Sciences: an International Journal
Elligator: elliptic-curve points indistinguishable from uniform random strings
Proceedings of the 2013 ACM SIGSAC conference on Computer & communications security
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We investigate password authenticated key exchange (PAKE) protocols in low resource environments, such as smartcards or mobile devices. In such environments, particularly in the future, it may be that the cryptosystems available for signatures and/or encryptions will be based on elliptic curves, because of their well-known advantages with regard to processing and size constraints. As a result, any PAKE protocols which the device requires should also preferably be implemented over elliptic curves. We show that the direct elliptic curve (EC) analogs of some PAKE protocols are insecure against partition attacks. We go on to propose a new EC based PAKE protocol. A modified version of the protocol for highly constrained devices, such as smartcards, is also presented.