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# Miden VM Hash Functions
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# Miden VM Hash Functions
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In the Miden VM, we make use of different hash functions. Some of these are "traditional" hash functions, like `BLAKE3`, which are optimized for out-of-STARK performance, while others are algebraic hash functions, like `Rescue Prime`, and are more optimized for a better performance inside the STARK. In what follows, we benchmark several such hash functions and compare against other constructions that are used by other proving systems. More precisely, we benchmark:
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* **BLAKE3** as specified [here](https://github.com/BLAKE3-team/BLAKE3-specs/blob/master/blake3.pdf) and implemented [here](https://github.com/BLAKE3-team/BLAKE3) (with a wrapper exposed via this crate).
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@@ -13,7 +13,7 @@ In the Miden VM, we make use of different hash functions. Some of these are "tra
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We benchmark the above hash functions using two scenarios. The first is a 2-to-1 $(a,b)\mapsto h(a,b)$ hashing where both $a$, $b$ and $h(a,b)$ are the digests corresponding to each of the hash functions.
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The second scenario is that of sequential hashing where we take a sequence of length $100$ field elements and hash these to produce a single digest. The digests are $4$ field elements in a prime field with modulus $2^{64} - 2^{32} + 1$ (i.e., 32 bytes) for Poseidon, Rescue Prime and RPO, and an array `[u8; 32]` for SHA3 and BLAKE3.
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#### Scenario 1: 2-to-1 hashing `h(a,b)`
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#### Scenario 1: 2-to-1 hashing `h(a,b)`
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| Function | BLAKE3 | SHA3 | Poseidon | Rp64_256 | RPO_256 |
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| ------------------- | ------ | --------| --------- | --------- | ------- |
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@@ -46,4 +46,4 @@ To run the benchmarks for Rescue Prime, Poseidon and SHA3, clone the following [
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```
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cargo bench hash
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```
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```
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