Information on Result #60028
There is no OA(499, 138, S4, 70), because the linear programming bound shows that M ≥ 118246 438673 063111 509987 411413 863923 581254 775008 190429 184491 048612 519959 485941 226484 592604 610560 / 288411 558856 539326 726871 768616 117917 > 499
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(499, 138, S4, 2, 70) | [i] | Depth Reduction | |
| 2 | No OOA(499, 138, S4, 3, 70) | [i] | ||
| 3 | No (29, 99, 138)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4100, 238, F4, 70) (dual of [238, 138, 71]-code) | [i] | Construction Y1 (Bound) | |