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This work revisits zero-knowledge proofs in the discrete logarithm setting. First, we identify and carve out basic techniques (partly being used implicitly before) to optimize proofs in this setting. ...
In applications of fully-homomorphic encryption (FHE) that involve computation on encryptions produced by several users, it is important that each user proves that her input is indeed well-formed. Thi...
The distributed discrete logarithm (DDL) problem was introduced by Boyle et al. at CRYPTO 2016. A protocol solving this problem was the main tool used in the share conversion procedure of their homomo...
We provide a zero-knowledge argument for arithmetic circuit satisfiability with a communication complexity that grows logarithmically in the size of the circuit. The round complexity is also logarit...
Very recently, Ariffin and Abu proposed a new version of the $AA_{\beta}$ cryptosystem based on linear diophantine equation discrete log problem. However, we give an efficient simple ciphertext-only a...
Let p be a odd prime such that 2 is a primitive element of finite field Fp. In this short note we propose a new algorithm for the computation of discrete logarithm in Fp.
This paper investigates the relationships between identity-based non-interactive key distribution (ID-NIKD) and identity-based encryption (IBE). It provides a new security model for ID-NIKD, and a c...
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has a large prime divi...
Abstract. We examine several versions of the one-more-discrete-log and one-more-Diffie-Hellman problems. In attempting to evaluate their intractability, we find conflicting evidence of the rel...
We investigate the relationships between identity-based non-interactive key distribution and identity-based encryption. We provide constructions for these schemes that make use of general trapdoor di...

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