Kryptografia oparta na kratach
Szyfrowanie postkwantowe.
Lattice-based crypto is the primary defense against quantum computers. It uses problems like SVP and CVP which lack the periodic structure vulnerable to Shor's algorithm. Most practical schemes use Learning With Errors (LWE). Standards like Kyber and Dilithium are being deployed globally in 2026. Beyond basic encryption, lattices enable advanced primitives like FHE.
graph LR
Center["Kryptografia oparta na kratach"]:::main
Pre_linear_algebra["linear-algebra"]:::pre --> Center
click Pre_linear_algebra "/terms/linear-algebra"
Pre_post_quantum_cryptography["post-quantum-cryptography"]:::pre --> Center
click Pre_post_quantum_cryptography "/terms/post-quantum-cryptography"
Rel_homomorphic_encryption["homomorphic-encryption"]:::related -.-> Center
click Rel_homomorphic_encryption "/terms/homomorphic-encryption"
Rel_post_quantum_cryptography["post-quantum-cryptography"]:::related -.-> Center
click Rel_post_quantum_cryptography "/terms/post-quantum-cryptography"
Rel_superconducting_qubits["superconducting-qubits"]:::related -.-> Center
click Rel_superconducting_qubits "/terms/superconducting-qubits"
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🤓 Expert Deep Dive
Core primitives include Standard LWE, Module-LWE, and SIS. Security relies on worst-to-average case reductions. NIST standards utilize Module-LWE for optimized key sizes. Hardware bottlenecks (Polynomial multi) are being solved via NTT-accelerated CPUs. Side-channel resistance is a major focus for 2026 enterprise deployments.