Difference between Quantum Cryptography v/s Post-Quantum cryptography
- One is done completely over Quantum computers while other on classical computers
- Post-Quantum Cryptography is the means by which any entity can enjoy the same benefits of secrecy, integrity over an unsecured channel backed by an mind-numbingly fast quantum computer.
- Quantum cryptography refers to cryptosystems implemented using Quantum computers using quantum-mechanical phenomenon.
PQ symmetric cryptography
- Grover gave an algorithm for exhaustive search in order of quadratic of the domain size.
how lattice based cryptography gained popularity?
How Shor's algorithm for factoring integers using quantum computers work?
add definitions from katz-lindell book, or boneh-shoup
lwe
lattices
Cryptosystems
- LWE, or module-LWE
- Crystals project: Kyber, Dilithium
- SABER: Based on Module Learning with Rounding
- LightSABER, SABER, FireSABER
- ring-LWE
- NTRU: Nth degree Truncated polynomial Ring Unit
- Falcon: Signature over NTRU
- GGH
- Hash-based:
- SPHINCS+
- Lamport Signatures
- Merkle Signature
- Code-based:
- McEliece
- Multivariate:
- Rainbow