have an account?【sign in】Zero-knowledge proof simple example:A Simple Example of Zero-Knowledge Proof
houndauthorZero-knowledge proof: A simple example
Zero-knowledge proof (ZKP) is a cryptographic primitives that enables a prover to prove to a verifier that they know certain information, without revealing the information itself. This is achieved by using a cryptographic framework that ensures the verifier can verify the proof without learning any information beyond what the prover intended to reveal. ZKP has found applications in various fields, such as privacy-preserving data sharing, encryption, and consent SPRK. In this article, we will explore a simple example of zero-knowledge proof to provide a deeper understanding of this concept.
Simple Example of Zero-Knowledge Proof
Let's consider a scenario where Alice and Bob want to verify if a particular number, N, is divisible by a prime number, P. They can achieve this by using the Zero-knowledge Proof of Divisibility (ZKPD). The process goes as follows:
1. Alice generates a random number R and computes the number D = N * R mod P.
2. Alice sends the value of D to Bob.
3. Bob checks if D is divisible by P by performing the following step:
a. If D % P = 0, then D is divisible by P and Bob sends back a success message to Alice.
b. If D % P ≠ 0, then Bob sends back a failure message to Alice.
4. Alice receives the message from Bob and, based on the result, she can verify if N is divisible by P.
In this example, Alice and Bob can achieve this verification without revealing any information about N or P. The key concept here is that Bob does not learn anything beyond what Alice intended to reveal, ensuring the privacy of the number N and the prime number P.
Zero-knowledge proof is an important cryptographic concept that enables secure verification without revealing any sensitive information. This simple example demonstrates how ZKP can be applied in a practical setting, providing a deeper understanding of its capabilities and applications. As technology continues to advance, we can expect to see more developments in zero-knowledge proof and its potential use in various fields.