PriceAI Whitepaper
  • PriceAI Whitepaper
  • Introduction
  • PriceAI Protocol
    • Evaluation Protocol
    • Non-interactive proofs
    • Elliptic curves and their pairings
    • Pairings of Elliptic Curves
    • Zero-knowledge part
    • Reduction to a QAP
    • Arithmetic circuits
    • Computations to Polynomials
    • Blind Evaluation Protocol
    • An Extended KCA
    • Blind Evaluation of Polynomials
    • The KC Test
    • Coefficient Test
    • Blind evaluation of a polynomial
    • Blind Evaluation of Polynomials
    • Homomorphic Hiding
    • Computation
    • How zk-SNARKs are constructed
  • Why PriceAI
  • Designed to Grow
  • Token Utility
  • Mission & Vision
  • Reference
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  1. PriceAI Protocol

Pairings of Elliptic Curves

We were missing two things – an HH that supports both addition and multiplication that is needed for the verifier’s checks, and a transition from an interactive protocol to a non-interactive proof system.

Now we will see that using elliptic curves we can obtain a limited, but sufficient for our purposes, form of HH that supports multiplication. We will then show that this limited HH also suffices to convert our protocol to the desired non-interactive system.

We begin by introducing elliptic curves and explaining how they give us the necessary HH.

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Last updated 2 years ago