Tripartite Diffie–Hellman protocol over Elliptic curves
On the Static Diffie-Hellman Problem on Elliptic Curves over Extension Fields
... for elliptic curves? Problem is that one needs a factor base to beat the Brown/Gallant/Cheon complexity For ECs over F p , currently no known useful factor base Basic insight is that for ECs ...
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On the Static Diffie-Hellman Problem on Elliptic Curves over Extension Fields
... For the computation of f 6 , we surprisingly ran out of memory, and so instead independently symmetrised the two f 4 polynomials used in the resultant com- putation to reduce the number of terms, and substituted x R into ...
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On the Bit Security of Elliptic Curve Diffie--Hellman
... the Diffie–Hellman key exchange protocol in elliptic curves over extension fields F q for q = p d with d > 1 (an example of such useful curves are the GLS curves ...
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Weak keys of the Diffie Hellman key exchange II : Pairing based schemes on elliptic curves.
... the tripartite DH scheme is not negligible enough to be ignored, although we do not have a complete characterization of the density of their ...the tripartite DH ...the tripartite DH scheme are ...
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Bit Security of the Hyperelliptic Curves Diffie-Hellman Problem
... reduces the computation of DLP in G to the computation of CDHP in G if we are able to find an elliptic curve, called auxiliary elliptic curve, over F p with smooth order. From many cryptographic ...
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A Novel Secure Message Transmission Using Elliptic Curve Diffie Hellman Key Exchange Protocol
... systems. ELLIPTIC CURVE DIFFIE HELMAN (ECDH) key exchange protocol is adopted which is one of the highly secure cryptography technique compared with other cryptographic ...prime elliptic curve ...
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Noncommutative analogue of Diffie-Hellman protocol in matrix ring over the residue ring
... the Diffie–Hellman protocol We try to apply the cryptosystem BMMC for constructing noncommutative analogue of the Diffie-Hellman protocol to repel “man in the middle” attack and ...
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Prevention of Collaborative Attacks using Elliptic Curve Diffie-Hellman in MANET
... [22] Yong Wang; Ramamurthy, B.; Xukai Zou; , "The Performance of Elliptic Curve Based Group Diffie-Hellman Protocols for Secure Group Communication over Ad Hoc Networks," Communications, 2006. ...
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CM55: special prime-field elliptic curves almost optimizing den Boer's reduction between Diffie-Hellman and discrete logs
... advantage over a random similar-sized ...of curves: prime order curves, random order curves, and smooth order ...512-bit curves and for everybody to use their own ...order curves ...
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Efficient Elliptic Curve Diffie-Hellman Computation at the 256-bit Security Level
... form elliptic curve targeted at the 256-bit security ...form curves over all the three ...the Diffie-Hellman key agree- ment protocol for the new Montgomery ...curve over ...
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Diffie-Hellman key exchange protocol and non-abelian nilpotent groups.
... in elliptic curves, in which case a cyclic group or a big enough cyclic component of an abelian group is ...specifically Diffie- Hellman key exchange protocol in situations where the ...
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Discrete Logarithms, Diffie-Hellman, and Reductions
... curve over F p whose jacobian group J C has a suitable order ...the elliptic curve case, where the group order also has magnitude close to p, the two-dimensional abelian variety J C has group order n ≈ p 2 ...
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A Faster Software Implementation of the Supersingular Isogeny Diffie-Hellman Key Exchange Protocol
... exchange protocol and Montgomery curves and related arithmetic is ...SIDH protocol is ...Montgomery elliptic curve, we present in §4 a more efficient formulation of the point tripling ...
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The Diffie-Hellman problem and generalization of Verheul's theorem
... fourth chapter, we discuss in more detail the theorem of Verheul (including its generalization), and its consequences. We give the mathematical background and definitions of the Tate and Weil pairings in chapter 5. In ...
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A. The Diffie-Hellman protocol
... exchange protocol that allow key agreement between sensor nodes implemented in an FPGA-type embedded architecture based on modified Diffie-Hellman protocol adapted to the specific context of ...
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Cryptanalysis and Improvement of an Elliptic Curve Diffie-Hellman Key Agreement Protocol
... proposed protocol ECKE-1 as an efficient elliptic curve Diffie-Hellman two-party key agreement protocol using public key ...claims protocol ECKE-1 is vulnerable to key-compromise ...
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The ZRTP Protocol Analysis on the Diffie Hellman mode
... The main problem with this approach is inattentive users who may not execute the voice authentication procedure, or unattended secure phone calls to answering machines that cannot execute it. Additionally, some people ...
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Making the Diffie-Hellman Protocol Identity-Based
... Our Approach. The first direction we took in our approach was to attempt to analyze the id- based KA protocols by Gunther [21] and Saeednia [31]. They also work over any cyclic group where the ...
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HMQV: A High-Performance Secure Diffie-Hellman Protocol
... HMQV protocol does not need of such ...MQV protocol, this was questioned by Kaliski’s UKS attacks [24] (see the discussion above) that are not avoided by these ...the protocol does not rely on ...
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On The Diffie-Hellman Assumption
... We generalize the Strong Boneh-Boyen (SBB) signature scheme to sign vec- tors (GSBB). There is a trivial worst-case polynomial time reduction from SBB to GSBB. We show that if an average case reduction exists where the ...
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