CSCI-762 - Advanced Cryptography

Zero-Knowledge Succinct Non-Interactive Argument of Knowledge (zk-SNARK)

Daichi Mae, Computer Science MS (Home Page)


zk-SNARKs, which stands for zero-knowledge Succinct Non-interactive ARgument of Knowledge, allow one party to non-interactively convey a very short proof that they have certain knowledge to another party without revealing any information about the knowledge. zk-SNARKs were introduced to overcome the communication overhead of interactive zero-knowledge proofs that often can be the bottleneck of a system. Today they are often used for cryptocurrencies such as Zcash and Ethereum in order to protect users' privacy. However, the underpinning mathematical concepts behind zk-SNARKs are rather difficult to understand. This paper provides a crash course of the relevant mathematical concepts such as zero-knowledge proofs and the Quadratic Span Programs with examples.

Preliminary Outline of Paper



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Daichi Mae
Rochester Institute of Technology