Commitment Schemes

In this blog, we unravel the complex process of verifying circuit constraints within SNARKs, a cornerstone of modern cryptographic protocols. You’ll learn how correctness is ensured across inputs, gate computations, and wiring within a circuit, all without compromising the secrecy of the information involved. By understanding these mechanisms, you gain insights into the robust security that underpins technologies like blockchain. Whether you’re a cryptography enthusiast or a professional in the field, this blog offers a deep dive into the mathematical and logical foundations that make zero-knowledge proofs so powerful. [Read More]

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. [Read More]