Information on Result #60015
There is no OA(497, 147, S4, 68), because the linear programming bound shows that M ≥ 53191 285542 209075 945504 006887 276132 854449 205165 228826 719771 521828 218168 917559 533017 381886 236463 273092 752842 577445 650432 / 2 089901 251760 098724 970145 084401 522230 137171 459432 895605 490625 > 497
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(497, 147, S4, 2, 68) | [i] | Depth Reduction | |
| 2 | No OOA(497, 147, S4, 3, 68) | [i] | ||
| 3 | No (29, 97, 147)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4119, 216, F4, 84) (dual of [216, 97, 85]-code) | [i] | Construction Y1 (Bound) | |