Information on Result #60197
There is no OA(4138, 149, S4, 102), because the linear programming bound shows that M ≥ 11 769278 720446 703333 267659 747956 551886 187319 922656 933070 157940 129170 842786 675855 465333 653504 / 85 907459 > 4138
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 OA(4139, 150, S4, 103) | [i] | Truncation | |
| 2 | No OA(4140, 151, S4, 104) | [i] | ||
| 3 | No OA(4141, 152, S4, 105) | [i] | ||
| 4 | No OA(4142, 153, S4, 106) | [i] | ||
| 5 | No OA(4143, 154, S4, 107) | [i] | ||
| 6 | No OA(4144, 155, S4, 108) | [i] | ||
| 7 | No OA(4145, 156, S4, 109) | [i] | ||
| 8 | No OA(4146, 157, S4, 110) | [i] | ||
| 9 | No OA(4147, 158, S4, 111) | [i] | ||
| 10 | No OA(4148, 159, S4, 112) | [i] | ||
| 11 | No OA(4149, 160, S4, 113) | [i] | ||
| 12 | No OA(4150, 161, S4, 114) | [i] | ||
| 13 | No OA(4151, 162, S4, 115) | [i] | ||
| 14 | No OA(4152, 163, S4, 116) | [i] | ||
| 15 | No OA(4153, 164, S4, 117) | [i] | ||
| 16 | No OOA(4138, 149, S4, 2, 102) | [i] | Depth Reduction | |
| 17 | No OOA(4138, 149, S4, 3, 102) | [i] | ||
| 18 | No linear OA(4139, 163, F4, 102) (dual of [163, 24, 103]-code) | [i] | Construction Y1 (Bound) | |