Information on Result #59745
There is no OA(458, 130, S4, 40), because the linear programming bound shows that M ≥ 209544 936299 479389 121518 912044 089753 196453 227215 118049 279760 432327 769939 564811 820879 196123 613172 070974 880613 527842 029138 321043 777447 471353 954304 / 2 470482 844369 173135 750828 733014 583913 640615 187243 459992 006489 938479 554355 225141 791107 956885 358375 430667 629325 > 458
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(458, 130, S4, 2, 40) | [i] | Depth Reduction | |
| 2 | No OOA(458, 130, S4, 3, 40) | [i] | ||
| 3 | No (18, 58, 130)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4218, 291, F4, 160) (dual of [291, 73, 161]-code) | [i] | Residual Code | |