---
title: "Abelian lattice signatures and KEM: which blockchains use it"
url: "https://hardyindex.com/algorithms/abelian-lattice"
---

# Abelian lattice signatures and KEM

The lattice-based signature and key encapsulation primitives Abelian deployed on mainnet in 2022, inspired by CRYSTALS-Dilithium and CRYSTALS-Kyber and combined with lattice zero-knowledge proofs for privacy. Same family as FIPS 204 and FIPS 203, but deployed before them and not confirmed identical.

- **Quantum status:** Believed quantum-resistant. No post-quantum scheme carries a proof of resistance.
- **Standard:** No published standard.
- **Family:** lattice.
- **Also known as:** Abelian post-quantum primitives.

## Rated chains using it

- [Abelian](https://hardyindex.com/chains/abelian.md): account signatures, mainnet, mandatory. Source (source code or release): https://github.com/pqabelian
- [Abelian](https://hardyindex.com/chains/abelian.md): key encapsulation, mainnet, mandatory. Kyber-inspired key encapsulation used for transaction privacy. Source (source code or release): https://github.com/pqabelian

## Sources

- [Abelian source repositories](https://github.com/pqabelian), Abelian Foundation. Accessed 19 October 2026.