scholarly journals Efficient Zero-Knowledge Proofs of Knowledge of Double Discrete Logarithm

2015 ◽  
Vol 9 (3) ◽  
pp. 191-208 ◽  
Author(s):  
Bin Lian ◽  
Gongliang Chen ◽  
Jianhua Li
2010 ◽  
Vol 53 (4) ◽  
pp. 788-799 ◽  
Author(s):  
HongDa Li ◽  
HaiXia Xu ◽  
Bao Li ◽  
DengGuo Feng

2019 ◽  
Vol 2019 (3) ◽  
pp. 149-169 ◽  
Author(s):  
Riham AlTawy ◽  
Guang Gong

Abstract A major line of research on blockchains is geared towards enhancing the privacy of transactions through anonymity using generic non-interactive proofs. However, there is a good cluster of application scenarios where complete anonymity is not desirable and accountability is in fact required. In this work, we utilize non-interactive proofs of knowledge of elliptic curve discrete logarithms to present membership and verifiable encryption proof, which offers plausible anonymity when combined with the regular signing process of the blockchain transactions. The proof system requires no trusted setup, both its communication and computation complexities are linear in the number of set members, and its security relies on the discrete logarithm assumption. As a use-case for this scenario, we present Mesh which is a blockchain-based framework for supply chain management using RFIDs. Finally, the confidentiality of the transacted information is realized using a lightweight key chaining mechanism implemented on RFIDs. We formally define and prove the main security features of the protocol, and report on experiments for evaluating the performance of the modified transactions for this system.


1990 ◽  
Vol 19 (327) ◽  
Author(s):  
Joan Boyar ◽  
Ivan Bjerre Damgård

We present a bit commitment scheme based on discrete logarithms. Unlike earlier discrete log based schemes, our system allows non-interactive XORing and negation of bits contained in commitments. When used as a building block in zero-knowledge protocols, our scheme leads to protocols that are statistical (almost perfect) zero-knowledge, and where the prover is unable to break the system, unless he can find a secret discrete logarithm.


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