Information on Result #59993
There is no OA(493, 148, S4, 65), because the linear programming bound shows that M ≥ 31410 303083 703049 377310 817051 099884 117194 259592 068916 365914 768905 433278 533937 431277 207276 796100 647129 523955 480347 541504 / 271 727597 647736 395513 057790 697511 115852 689190 837400 656430 005393 > 493
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(493, 148, S4, 2, 65) | [i] | Depth Reduction | |
| 2 | No OOA(493, 148, S4, 3, 65) | [i] | ||
| 3 | No (28, 93, 148)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4116, 209, F4, 82) (dual of [209, 93, 83]-code) | [i] | Construction Y1 (Bound) | |