Information on Result #59935
There is no OA(482, 147, S4, 57), because the linear programming bound shows that M ≥ 317 037594 874104 788097 363934 385470 033055 949567 295348 251071 808033 395027 252472 917734 505583 665296 587433 584079 322091 728288 179828 060163 502846 553034 526452 257111 175653 922741 542240 051385 314719 039488 / 12 974914 487478 534018 893942 165576 018487 860552 476600 082829 690910 525536 318801 189236 245587 024898 169738 332511 320472 102082 003724 381476 705681 480945 > 482
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(482, 147, S4, 2, 57) | [i] | Depth Reduction | |
| 2 | No OOA(482, 147, S4, 3, 57) | [i] | ||
| 3 | No (25, 82, 147)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4121, 203, F4, 86) (dual of [203, 82, 87]-code) | [i] | Construction Y1 (Bound) | |