格子暗号（Lattice-based Cryptography）
量子コンピュータでも解けない強力な暗号方式。
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["格子暗号（Lattice-based Cryptography）"]:::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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🧒 5歳でもわかるように説明
何千次元という想像もできないほど複雑な「点々の網目」の中に宝物を隠すようなものです。宝物がどの点にあるかを当てるのは、ものすごく計算が早い量子コンピュータでも、とてつもない時間がかかるほど難しい問題なのです。
🤓 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.