About SPHINCS+
SPHINCS+ is a stateless hash-based digital signature algorithm designed to be secure against attacks from quantum computers. It was selected by NIST as one of the standardized post-quantum signature algorithms in 2022.
Key Features:
- Type: Stateless hash-based digital signature algorithm
- Security Basis: Security of cryptographic hash functions
- Quantum Resistance: Extremely high confidence in resistance to quantum attacks
- Stateless: Unlike some other hash-based signatures, SPHINCS+ does not require maintaining state between signatures
- Parameter Sets: Multiple parameter sets offering different trade-offs between signature size, signing speed, and security level
How SPHINCS+ Works:
SPHINCS+ is based on a hyper-tree structure that combines several cryptographic primitives:
- Few-Time Signatures: SPHINCS+ uses WOTS+ (Winternitz One-Time Signature) for signing individual messages
- Merkle Trees: Multiple layers of Merkle trees are used to authenticate many WOTS+ public keys with a single SPHINCS+ public key
- Hyper-Tree: A hyper-tree structure combines multiple Merkle trees to create a large virtual tree
- Hash Functions: All operations rely on the security of cryptographic hash functions
Parameter Sets:
SPHINCS+ offers several parameter sets with different trade-offs:
Parameter Set |
Security Level |
Signature Size |
Signing Speed |
SPHINCS+-128s |
NIST Level 1 (128-bit classical) |
~8 KB |
Faster |
SPHINCS+-128f |
NIST Level 1 (128-bit classical) |
~17 KB |
Slower |
SPHINCS+-192s |
NIST Level 3 (192-bit classical) |
~17 KB |
Faster |
SPHINCS+-192f |
NIST Level 3 (192-bit classical) |
~35 KB |
Slower |
SPHINCS+-256s |
NIST Level 5 (256-bit classical) |
~29 KB |
Faster |
SPHINCS+-256f |
NIST Level 5 (256-bit classical) |
~49 KB |
Slower |
The "s" variants prioritize smaller signatures at the cost of slower signing, while the "f" variants prioritize faster signing at the cost of larger signatures.
Advantages of SPHINCS+:
- Strong Security Guarantees: Based only on the security of cryptographic hash functions, which are believed to be quantum-resistant
- Stateless: Unlike some other hash-based signatures, SPHINCS+ does not require maintaining state between signatures
- Minimal Assumptions: Requires fewer cryptographic assumptions than lattice-based or code-based alternatives
- Standardization: Selected by NIST for standardization, indicating high confidence in its security
Limitations:
- Signature Size: Significantly larger signatures compared to classical algorithms and some other post-quantum alternatives
- Performance: Slower signing operations, especially for the small-signature variants
Note: SPHINCS+ is primarily designed for applications where the highest level of security assurance is required, and where signature size and performance are less critical. For applications with tighter constraints, other post-quantum algorithms like Dilithium or Falcon might be more suitable.