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The present study investigates the difficulty of solving the mathematical problem, namely DLP (Discrete Logarithm Problem) for ephemeral keys. DLP is the basis for many public key cryptosystems. The ephemeral keys are used in such systems to ensure the security. The DLP defined on a prime field Zp* of random prime is considered in the present study. The most effective method to solve the DLP is the...
A practical publicly verifiable secret sharing (PVSS) is constructed based on the bilinear pairing on elliptic curves, which has all advantages of B. Schoenmakerspsila PVSS and its secret is not the form of discrete logarithm, thus this PVSS is extremely practical. Moreover, in the schemepsilas distribution of shares phase, only using bilinearity of bilinear pairing, anybody can verify whether the...
Efficient authenticated multi-party key agreement is both an open problem and one of the fundamental cryptographic primitives that has to be tackled for deploying secure e-commerce in the real world. In this paper, by taking one third of the order of a generator a basic version of a multi-party key agreement scheme is proposed based on the matrix-based ECC (Elliptic Curve Cryptog-raphy) by Climent...
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