JP Journal of Algebra, Number Theory and Applications
Volume 46, Issue 1, Pages 1 - 19
(April 2020) http://dx.doi.org/10.17654/NT046010001 |
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AUTHENTICATED TRIPARTITE KEY AGREEMENT PROTOCOL USING DIGITAL SIGNATURE ALGORITHM
T. Isaiyarasi
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Abstract: Key agreement protocol (KAP) is one of the fundamental cryptographic primitives after encryption and digital signature. The role of KAP is to enable two or more communicating entities to arrive at a common cryptographic key, which may be later used for any cryptographic purpose. The key thus arrived must be secured against various cryptographic attacks such as perfect forward secrecy, known key secrecy, key compromise impersonation, unknown key share and key control. This paper proposes an authenticated tripartite key agreement protocol and the authentication is achieved by signing the public key digitally by using a digital signature algorithm (DSA). Both the KAP and DSA proposed are derived using factorization search problem (FSP). The FSP takes on the role of one way function (hard function or trapdoor function). For the implementation of FSP, a platform group is needed for which five dimensional discrete Heisenberg group is chosen which is non-abelian. The KAP and DSA proposed in this paper satisfy all the necessary security attributes. |
Keywords and phrases: authentication, key agreement protocol, one way function, digital signature, factorization search problem, platform group, discrete Heisenberg group.
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