Information on Result #59824
There is no OA(468, 180, S4, 45), because the linear programming bound shows that M ≥ 328494 790735 001198 305199 602445 532392 471737 863161 499929 581656 031112 774235 621273 901469 693549 435944 960000 000000 / 3 747617 146367 023709 191641 153229 380578 240235 288823 915002 005290 401803 > 468
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(468, 180, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(468, 180, S4, 3, 45) | [i] | ||
| 3 | No (23, 68, 180)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4248, 361, F4, 180) (dual of [361, 113, 181]-code) | [i] | Residual Code | |