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Introduction to Based Rollups In the evolving landscape of blockchain technology, “based” rollups, also known as L1-sequenced rollups, represent a notable advancement. Characterized by their integration with the foundational Layer 1 (L1) blockchains such as Ethereum, these rollups are directly sequenced by the activities on the L1 blockchain. T...

ELI5 Imagine Ethereum as a busy city where builders create buildings (blocks) on plots of land given by city planners (proposers). Right now, a few big companies have most of the control over building, which isn’t ideal for our city’s future. The document talks about making this process part of the city’s rules, so everyone has a fair chance to...

TLDR The KZG commitment scheme is like a cryptographic vault for securely locking away polynomials (mathematical equations) so that you can later prove you have them without giving away their secrets. It’s like making a sealed promise that you can validate without ever having to open it up and show the contents. Using advanced math based on elli...

Paper Review - Teaching Concurrency by Leslie Lamport Unraveling the Complexities of Concurrency: A New Paradigm for Teaching In the realm of computer science, concurrency stands as a foundational concept, pivotal to the design and operation of modern computing systems. Despite its significance, the approach to teaching concurrency has often b...

Understanding Column vs. Row Encoding in Rank-1 Constraint Systems: A Cryptographic Perspective Introduction In the realm of cryptographic protocols, particularly those involving zero-knowledge proofs (ZKP), the efficiency and complexity of computations are of great importance. Rank-1 Constraint Systems (R1CS) play a crucial role in this contex...

Danksharding is an innovative approach to scale Ethereum’s blockchain, aiming to achieve over 100,000 transactions per second by enabling rollups to add cheaper data to blocks ethereum.org. As Ethereum moves towards Proto-Danksharding and eventually full Danksharding ethereum.org, data extraction and interpolation become crucial aspects of the b...

Overview Trusted Setup Powers of Tau Ceremony Exercises - Trusted Setup Non-Quadratic Constraints Exercises - Non-Quadratic Constraints Groth16 and PLONK Protocols Proof Generation, Computing Witness, Verification and Testing Overview ZKSNARKS are a powerful cryptographic tool that can enabl...

Greatest Common Divisor Overview Definition 1 - GCD Definition 2 - Co-prime Proposition 1 The Euclidean Algorithm Geometrical View of the Euclidean Algorithm The Extended Euclidean Algorithm Theorem 1 Proposition 2 Theorem 2 Greatest Common Divisor Overview T...