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https://github.com/nspcc-dev/tzhash

Tillich-Zemor hashing golang implementation
https://github.com/nspcc-dev/tzhash

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Tillich-Zemor hashing golang implementation

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# Demo

[![asciicast](https://asciinema.org/a/IArEDLTrQyabI3agSSpINoqNu.svg)](https://asciinema.org/a/IArEDLTrQyabI3agSSpINoqNu)

**In project root:**

```bash
# show help
make
# run auto demo
make auto
```

# Homomorphic hashing in golang

Package `tz` containts pure-Go implementation of hashing function described by Tillich and Źemor in [1] .

There are existing implementations already (e.g. [2]), however they are written in C.

Package `gf127` contains arithmetic in `GF(2^127)` with `x^127+x^63+1` as reduction polynomial.

# Description

It can be used instead of Merkle-tree for data-validation, because homomorphic hashes
are concatenable: hash sum of data can be calculated based on hashes of chunks.

The example of how it works can be seen in tests.

# Benchmarks

## go vs AVX vs AVX2 version

```
BenchmarkSum/AVX_digest-8 308 3889484 ns/op 25.71 MB/s 5 allocs/op
BenchmarkSum/AVXInline_digest-8 457 2455437 ns/op 40.73 MB/s 5 allocs/op
BenchmarkSum/AVX2_digest-8 399 3031102 ns/op 32.99 MB/s 3 allocs/op
BenchmarkSum/AVX2Inline_digest-8 602 2077719 ns/op 48.13 MB/s 3 allocs/op
BenchmarkSum/PureGo_digest-8 68 17795480 ns/op 5.62 MB/s 5 allocs/op
```

# Contributing

At this moment, we do not accept contributions. Follow us.

# Makefile

```
→ make
Usage:

make

Targets:

attach Attach to existing container
auto Auto Tillich-Zémor hasher demo
down Stop demo container
help Show this help prompt
up Run Tillich-Zémor hasher demo
```

# Links

[1] https://link.springer.com/content/pdf/10.1007/3-540-48658-5_5.pdf

[2] https://github.com/srijs/hwsl2-core