Information on Result #60021
There is no OA(498, 141, S4, 69), because the linear programming bound shows that M ≥ 390 667122 461443 438521 906736 556887 277229 974887 246672 391047 184815 799743 048558 730918 115445 571584 / 3696 508035 141223 991028 411517 682665 > 498
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(498, 141, S4, 2, 69) | [i] | Depth Reduction | |
| 2 | No OOA(498, 141, S4, 3, 69) | [i] | ||
| 3 | No (29, 98, 141)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(499, 253, F4, 69) (dual of [253, 154, 70]-code) | [i] | Construction Y1 (Bound) | |