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ZK Hack 5 Puzzle 2: don't look up
ZK Hack 5 Puzzle 2: don't look up 1*Part of [ZK Hack V](https://zkhack.dev/zkhackV/)*
23Lookup arguments based on logarithmic derivatives are super fast. Protocols that use small fields are super fast. Let's combine both!
45We've implemented a range check for $`[0, 2^6-1]`$ using the special-sound lookup protocol of [ProtoStar](https://eprint.iacr.org/2023/620) (see Section 4.3, p. 34) which itself is a variant of [LogUp](https://eprint.iacr.org/2022/1530). To make this faster, we use a ≈16-bit prime field and take challenges from a larger extension to have roughly 100 bits of security.
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