What is the Context of Bitwise Operations?

In cryptocurrency and blockchain development, bitwise operations are frequently employed in hashing algorithms, digital signatures, and certain smart contract optimizations. Their precise control over data at the most granular level aids in ensuring data integrity and security within decentralized networks. Ongoing research seeks to leverage these operations for further improvements in cryptographic proofs and protocol efficiency.

Bitwise Operations

Definition

Bitwise operations manipulate individual bits within a binary number. These low-level computational functions include AND, OR, XOR, NOT, and bit shifts, directly operating on the binary representation of data. They are crucial for optimizing data storage, performing efficient cryptographic calculations, and managing permissions within digital systems. Bitwise operations are particularly relevant in contexts where resource efficiency and direct hardware control are important.

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∞Zero-Knowledge Proofs

∞Prover Efficiency

∞Transparent Setup

Post-Quantum Zero-Knowledge Proving on Constrained Client Devices

New transparent, post-quantum ZK protocols enable secure, low-resource proving on mobile devices, fundamentally unlocking decentralized identity at scale.

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∞Cryptographic Primitives

∞Lookup Arguments

∞Proof Generation Speed

New Lookup Argument Achieves Optimal Commitment Size for Universal ZK Circuits

Lasso introduces a sparse multilinear polynomial commitment scheme to make non-arithmetic ZK operations linear, unlocking the lookup singularity.

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∞Bitwise Operations

∞Verifier Complexity

∞ZK-EVM Performance

Binary GKR Proof System Accelerates ZK-EVM Computation by Optimizing Keccak Hashing

Binary GKR introduces a new ZK proof system optimized for bitwise operations, fundamentally unlocking the speed required for practical ZK-EVMs.

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∞Bitwise Operations

∞Blockchain Scalability

∞Zero-Knowledge Proofs

Binary GKR: Accelerating Zero-Knowledge Proofs for Keccak Hashing

Polyhedra's Binary GKR dramatically speeds Keccak hash function proving, enabling efficient zero-knowledge computation for scalable blockchain architectures.

Bitwise Operations

Definition

Context

Post-Quantum Zero-Knowledge Proving on Constrained Client Devices

New Lookup Argument Achieves Optimal Commitment Size for Universal ZK Circuits

Binary GKR Proof System Accelerates ZK-EVM Computation by Optimizing Keccak Hashing

Binary GKR: Accelerating Zero-Knowledge Proofs for Keccak Hashing

Incrypthos

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