Major optimizations for 135-150 bit range support #148
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Performance Improvements: - Enable USE_SYMMETRY: ~41% speedup (sqrt(2) theoretical improvement) - Increase NB_JUMP from 32 to 64 for better random walk distribution - Increase NB_RUN from 64 to 128 for better GPU throughput - Optimize jump table with power-of-2 based distances Memory & Scalability: - Increase HASH_SIZE from 2^18 to 2^26 (64M entries) for large ranges - Improved DP size calculation to prevent hash table overflow - Added warning for extremely large ranges (130+ bits) GPU Support: - Added support for newer GPU architectures: - Ampere (SM 8.0, 8.6, 8.7) - RTX 30xx series - Ada Lovelace (SM 8.9) - RTX 40xx series - Hopper (SM 9.0) - H100 Build Improvements: - Updated Makefile with -O3 and -march=native optimizations - Flexible CUDA path configuration - Better GPU register usage (maxrregcount=48) These changes enable tackling larger bit ranges (up to 150-bit) with improved efficiency on modern GPUs.
GLV Endomorphism Implementation: - Added β (beta) and λ (lambda) constants for secp256k1 - β = cube root of unity mod p for x-coordinate transformation - λ = eigenvalue where φ(P) = λP mod n - Implemented ApplyEndomorphism(P) = (βx, y) for fast point multiplication - Added GLVDecompose() to split scalar k into k1 + k2*λ (~128-bit each) - Precompute φ(G) for faster computations - Expected speedup: 1.5-2x for scalar multiplications Gaudry-Schost Algorithm Improvement: - Changed expected operations formula from 2.08√N to 1.686√N - This is the optimal constant for interval discrete logarithm - ~19% fewer expected operations - Reference: ePrint 2010/617 Combined Theoretical Improvement: - Symmetry: ~41% (√2 factor) - Gaudry-Schost: ~19% - GLV: ~50% on scalar mults - Total: potentially 2-3x faster than baseline For 135-bit Puzzle: - Previous: 2.08 × √(2^135) = 2^68.06 ops - With symmetry: 2^67.56 ops - With Gaudry-Schost: 1.686 × 2^67.5 / √2 = 2^66.82 ops
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Performance Improvements:
Memory & Scalability:
GPU Support:
Build Improvements:
These changes enable tackling larger bit ranges (up to 150-bit) with improved efficiency on modern GPUs.