Proof size trade off describes the balance between the compactness of a cryptographic proof and the computational resources required to generate or verify it. In zero-knowledge proof systems, a smaller proof size is desirable for reduced storage and transmission costs, particularly on blockchains. However, achieving very small proofs can sometimes necessitate more complex or time-intensive computations for the prover. Developers must carefully consider this relationship to optimize protocols for specific applications, weighing the benefits of compact proofs against the costs of their creation or validation.
Context
The proof size trade off is a central consideration in the design and implementation of advanced cryptographic proofs used for blockchain scaling and privacy, such as ZK-SNARKs and ZK-STARKs. A key discussion involves ongoing research into new proof systems that aim to achieve both minimal proof sizes and efficient proving times. Future developments are focused on pushing the boundaries of this trade off, seeking to enable highly scalable and private digital asset transactions with reduced resource consumption.
This new commitment scheme leverages Expander Graphs for linear-time proving, dramatically accelerating zero-knowledge system generation and ensuring quantum resistance.
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