Participants Info
| Name | Ting Li, Yao Sun |
|---|---|
| Institute | SKLOIS, Institute of Information Engineering, CAS |
Submission Details
| Date | 2023/08/22 |
|---|---|
| Type | V |
| Number of variables (n) | 30 |
| Number of equationes (m) | 20 |
| Seed (0,1,2,3,4) | 0 |
| Algorithm | Improved F4 algorithm for similar polynomial systems |
| Hardware | 1 x AMD Ryzen Threadripper 3970X, 192GB RAM, 2 x GeForce RTX 3080Ti |
| Running Time | 21.72 days (Total wall-clock time) |
| Answer v=[v1,…,vn] in Fn | [d9, b7, 26, 64, 9b, ea, 0c, 09, a2, 4b, d1, 64, e9, 9e, 86, 1d, 0f, d7, 9b, 1e, 17, 77, 2a, 6d, 49, 09, c0, 95, 3d, 86] |
| Notes | We guessed 11 variables and ran 2 simultaneous processes with 1 thread each. A solution was found after solving 245 subsystems. The average wall-clock time for solving one subsystem is 15319 seconds. Our improved F4 algorithm takes advantage of more memory and the sparsity of matrices when eliminating matrices. Besides, the elimination is effectively accelerated by GPUs. Thus, our improved F4 algorithm achieves better performance than M4GB. |