Information on Result #59957
There is no OA(486, 145, S4, 60), because the linear programming bound shows that M ≥ 70 960269 863126 606518 991667 215730 563206 075021 389069 425781 018295 735734 868068 159984 954116 355960 140231 669388 460318 751919 101866 886859 928826 023614 873600 / 11532 795767 709720 554647 969916 716816 544438 820799 421172 775769 384715 477815 805045 795696 528849 736837 > 486
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(486, 145, S4, 2, 60) | [i] | Depth Reduction | |
| 2 | No OOA(486, 145, S4, 3, 60) | [i] | ||
| 3 | No (26, 86, 145)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4117, 203, F4, 83) (dual of [203, 86, 84]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4120, 206, F4, 85) (dual of [206, 86, 86]-code) | [i] | ||
| 6 | No linear OA(4124, 210, F4, 88) (dual of [210, 86, 89]-code) | [i] | ||