MLKEMCipher: 常数时间 IND-CCA2 密码内核、矢量化 NTT 与 Barrett 模除优化

MLKEMCipher 提供零外部依赖、严格常数时间执行的算法参考实现及汇编级高度优化内核，针对模数 q = 3329、维度 n = 256 的多项式环 R_q 上的 ML-KEM 运算提供数学可证明的 IND-CCA2 抗选择密文攻击安全性。

MLKEMCipher Lattice Arithmetic Pipeline & Vector Processing Topology

Ring R_q polynomial operations, Number Theoretic Transform (NTT), and Montgomery reduction

Central System: Lattice Vector Engine - AVX-512 / NEON Core

Cryptographic Nodes

  • Forward NTT Unit
  • Pointwise Multiplier
  • Inverse NTT (INTT)
  • Centered Binomial Sampler
  • FO Transform Engine

Architectural Layers & Protocols

  • Polynomial Vector Ring R_q (R_q = Z_q[X]/(X^256 + 1), q=3329): Defines modular lattice algebra with k=2 (512), k=3 (768), and k=4 (1024) matrix ranks.
  • Number Theoretic Transform (Radix-2 Cooley-Tukey NTT with Twiddle Precomputation): Reduces polynomial multiplication complexity from O(n^2) to O(n log n).
  • Fast Modular Reduction (Montgomery Reduction (R = 2^16) & Signed Barrett Reduction): Executes coefficient division and modulo 3329 without hardware divide instructions.
  • Fujisaki-Okamoto Transform (IND-CPA to IND-CCA2 Conversion with Implicit Rejection): Re-encrypts decrypted plaintext to verify ciphertext integrity before key extraction.

Key Metrics: q = 3329 (Prime Modulus) | n = 256 (Polynomial Degree) | O(n log n) (Multiplication Complexity) | 0 Branch (Data-Dependent Branches)

恒定时间IND-CCA2选择密文安全性、NTT多项式向量运算与Montgomery/Barrett模约简

深入剖析 NIST FIPS 203/204/205 标准、格密码学、侧信道攻击防护及后量子计算防御架构中的Constant-Time IND-CCA2 Chosen-Ciphertext Security, NTT Polynomial Vector Arithmetic & Montgomery/Barrett Modular Reduction关键工程实践。

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