Identity-based authenticated key agreement protocol based on Weil pairing N.P. Smart IEE Electronics Letters 2002 Presented By Kuang-Ling Lin 10/7/2003.

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Presentation transcript:

Identity-based authenticated key agreement protocol based on Weil pairing N.P. Smart IEE Electronics Letters 2002 Presented By Kuang-Ling Lin 10/7/2003

Outline Introduction The protocol based on Weil pairing Security Three pass AKC protocol Conclusion

Introduction Key agreement is one of fundamental cryptographic primitive Properties: (1)Bilinear (2)Non-degenerate (3)Computable

The protocol based on Weil pairing G:a prime order l subgroup of an elliptic curve over the field F q k:the smallest integer corresponding to l | q k -1 ê:G X G → F q * V:key derivation function V:F * q k → {0,1} s:KGC’s secret key P KGS : P KGS =[s]P Q ID :Q ID =H(ID) S ID :S ID =[s]Q ID

The protocol based on Weil pairing User A User B T A =[a]P T B =[b]P User A computes k A = ê([a]Q B,P KGS ) ． ê(S A,T B ) User B computes k B = ê([b]Q A,P KGS ) ． ê(S B,T A ) Secret key K=V(k A )=V(k B )

Security Known key security Forward secrecy ê(Q B,T A ) S ． ê(Q A,T B ) S Key control

Three pass AKC protocol R=ê([a]Q B,P KGS )=ê([b]Q A,P KGS ) User A User B T A =[a]P T B =[b]P,M 1 =MAC k ’ (2,B,A,R) M 2 =MAC k ’ (3,A,B,R)

Conclusion It seems that this protocol only makes two party to agree one key.