Information on Result #59729
There is no OA(455, 104, S4, 39), because the linear programming bound shows that M ≥ 7 723473 632829 389285 976355 541453 254660 289881 978452 313500 994274 223551 712140 212225 490113 864437 287145 948134 332311 964905 619217 330530 016843 066600 998037 356544 / 5779 127016 748909 094986 667927 666304 897550 201537 672172 684327 799525 226094 950381 356180 131377 653225 244035 788465 702327 464125 > 455
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(455, 104, S4, 2, 39) | [i] | Depth Reduction | |
| 2 | No OOA(455, 104, S4, 3, 39) | [i] | ||
| 3 | No (16, 55, 104)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4211, 261, F4, 156) (dual of [261, 50, 157]-code) | [i] | Residual Code | |