ML-KEM Kyber Lattice Cryptography

Interactive Module-LWE noise bounds (k=3), NTT multiplication speedup, and Fujisaki-Okamoto implicit rejection.

Input Message Bit (m_i)

Accumulated Noise Magnitude (E): 120 (Max Threshold: ±832)

Fujisaki-Okamoto Tamper Test

Target Base Value: 1665 (q/2 = 1665)

Injected Noise Error (E): +120

Raw Calculated Coefficient (w): 1785

Modular Coefficient Space (q = 3329) Threshold Decoder:

0 (Bit 0)832 (Threshold)1665 (Bit 1)2496 (Threshold)3328 (Bit 0)

Decoded Bit (m')

Bit 1 (Correct)

Fujisaki-Okamoto FO Output

K = KDF(K_bar || H(c)) [Valid Key]