Unveiling the Secrets of Cryptography: From Polynomials to Pairings and Commitment Schemes
This blog explores the foundational concepts in cryptography, focusing on the roles of polynomials, pairings, and commitment schemes. It explains how polynomials contribute to data integrity through erasure coding and interpolation, introduces the concept of pairings with their critical properties of bilinearity and non-degeneracy, and guides readers through the setup and importance of polynomial commitment schemes. Building on previous discussions of Zero-Knowledge Proofs, this blog provides an accessible yet comprehensive guide to these essential cryptographic tools.
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