OpenSSLGroups.jl provides high-performance cryptographic group operations by wrapping OpenSSL's implementation while maintaining full compatibility with the CryptoGroups.jl interface. This package offers a 10-20x performance improvement for exponentiations over pure Julia implementations while preserving type safety and ease of use.
- Full CryptoGroups.jl Compatibility: Drop-in replacement for CryptoGroups.jl with identical API
- High Performance: 10-20x faster group exponentiations using OpenSSL's optimized implementation
- Type Safety: Maintains all type safety guarantees from CryptoGroups.jl
- Comprehensive Curve Support: Implements all standard curves available in OpenSSL
using Pkg
Pkg.add("OpenSSLGroups")using OpenSSLGroups
P = OpenSSLGroups.SecP256k1
point = P()
point * 3 == point + 2 * point
P(octet(point)) == point
P(octet(point; mode=:compressed)) == point
P(value(point)) == pointOpenSSLGroups.jl can be used as a drop-in replacement for CryptoGroups.jl:
using OpenSSLGroups
using CryptoGroups
# Using with ECGroup macro
G = @ECGroup{OpenSSLGroups.SecP256k1}
g = G()
# Basic group operations work identically
g^3 * g^5 / g^2 == (g^3)^2 == g^6
g^(order(G) - 1) * g == one(G)| Curve Name | OpenSSLGroups Type | Alternate Names |
|---|---|---|
| P-192 | Prime192v1 |
(secp192r1, prime192v1) |
| P-224 | SecP224r1 |
(secp224r1) |
| P-256 | Prime256v1 |
(secp256r1, prime256v1) |
| P-384 | SecP384r1 |
(secp384r1) |
| P-521 | SecP521r1 |
(secp521r1) |
| Curve Name | OpenSSLGroups Type | Alternate Names |
|---|---|---|
| secp160k1 | SecP160k1 |
|
| secp192k1 | SecP192k1 |
|
| secp224k1 | SecP224k1 |
|
| secp256k1 | SecP256k1 |
(Bitcoin curve) |
| Curve Name | OpenSSLGroups Type | Notes |
|---|---|---|
| brainpoolP160r1 | BrainpoolP160r1 |
Random curve |
| brainpoolP192r1 | BrainpoolP192r1 |
Random curve |
| brainpoolP224r1 | BrainpoolP224r1 |
Random curve |
| brainpoolP256r1 | BrainpoolP256r1 |
Random curve |
| brainpoolP320r1 | BrainpoolP320r1 |
Random curve |
| brainpoolP384r1 | BrainpoolP384r1 |
Random curve |
| brainpoolP512r1 | BrainpoolP512r1 |
Random curve |
| Curve Name | OpenSSLGroups Type | Alternate Names |
|---|---|---|
| K-163 | SecT163k1 |
(sect163k1) |
| K-233 | SecT233k1 |
(sect233k1) |
| K-283 | SecT283k1 |
(sect283k1) |
| K-409 | SecT409k1 |
(sect409k1) |
| K-571 | SecT571k1 |
(sect571k1) |
| Curve Name | OpenSSLGroups Type | Alternate Names |
|---|---|---|
| B-163 | SecT163r2 |
(sect163r2) |
| B-233 | SecT233r1 |
(sect233r1) |
| B-283 | SecT283r1 |
(sect283r1) |
| B-409 | SecT409r1 |
(sect409r1) |
| B-571 | SecT571r1 |
(sect571r1) |
| Curve Name | OpenSSLGroups Type | Notes |
|---|---|---|
| SM2 | SM2 |
Chinese standard curve |
| WTLS | WtlsCurve1 through WtlsCurve12 |
WAP/TLS specific curves |
| IPSec | IpsecCurve3, IpsecCurve4 |
IPSec specific curves |
Additional curves (c2pnb/c2tnb series) are also implemented but are less commonly used in modern cryptographic applications.
The package works seamlessly with cryptographic protocol implementations:
using OpenSSLGroups
using ShuffleProofs
using SigmaProofs.ElGamal
using SigmaProofs.Verificatum
# Set up ElGamal encryption with OpenSSL curve
g = @ECGroup{OpenSSLGroups.Prime256v1}()
sk = 123
pk = g^sk
# Create encryption helper
enc = Enc(pk, g)
# Example encryption and shuffle proof
𝐦 = [g^4, g^2, g^3]
𝐞 = enc(𝐦, [2, 3, 4]) .|> ElGamalRow
verifier = ProtocolSpec(; g)
simulator = shuffle(𝐞, g, pk, verifier)
@assert verify(simulator)Here's a simple benchmark comparing OpenSSLGroups with CryptoGroups:
using BenchmarkTools
using OpenSSLGroups
using CryptoGroups
# OpenSSL implementation
P1 = SecP256k1
p1 = P1()
@btime $p1 ^ 123
# Pure Julia implementation
P2 = @ECGroup{P_256}
p2 = P2()
@btime $p2 ^ 123
# Results show ~10-20x speedup for typical operations