A New Key Agreement Method for Symmetric Encryption Using Elliptic Curves

2018 ◽  
pp. 79-88
Author(s):  
Nissa Mehibel ◽  
M’hamed Hamadouche ◽  
Amina Selma Haichour
Keyword(s):  
Elliptic Curves ◽  
Key Agreement ◽  
Symmetric Encryption

scholarly journals Authenticated Diffie-Hellman Key Agreement Scheme that Protects Client Anonymity and Achieves Half-Forward Secrecy

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Hung-Yu Chien
Keyword(s):  
Elliptic Curves ◽  
Computational Efficiency ◽  
Building Block ◽  
Key Agreement ◽  
Modular Exponentiation ◽  
Forward Secrecy ◽  
Security Systems ◽  
Diffie Hellman ◽  
Identity Privacy ◽  
Identity Protection

Authenticated Diffie-Hellman key agreement (D-H key) is the de facto building block for establishing secure session keys in many security systems. Regarding the computations of authenticated D-H key agreement, the operation of modular exponentiation is the most expensive computation, which incurs a heavy loading on those clients where either their computational capacities or their batteries are limited and precious. As client’s privacy is a big concern in several e-commerce applications, it is desirable to extend authenticated D-H key agreement to protect client’s identity privacy. This paper proposes a new problem: the modified elliptic curves computational Diffie-Hellman problem (MECDHP) and proves that the MECDHP is as hard as the conventional elliptic curves computational Diffie-Hellman problem (ECDHP). Based on the MECDHP, we propose an authenticated D-H key agreement scheme which greatly improves client computational efficiency and protects client’s anonymity from outsiders. This new scheme is attractive to those applications where the clients need identity protection and lightweight computation.

Distributed key agreement for group communications based on elliptic curves. An application to sensor networks.

2015 ◽  
Vol 39 (16) ◽  
pp. 4797-4809 ◽  
Author(s):  
José Antonio Álvarez-Bermejo ◽  
Antonela Lodroman ◽  
Juan Antonio López-Ramos
Keyword(s):  
Sensor Networks ◽  
Elliptic Curves ◽  
Key Agreement ◽  
Group Communications
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