Information on Result #547485
There is no linear OA(4259, 472, F4, 184) (dual of [472, 213, 185]-code), because residual code would yield OA(475, 287, S4, 46), but
- 1 times truncation [i] would yield OA(474, 286, S4, 45), but
- the linear programming bound shows that M ≥ 22 769120 707181 828041 954378 161822 084052 954335 244294 016427 586097 147930 001332 191588 780049 100806 553600 / 63648 956571 718794 371382 905612 240945 674126 728108 353777 > 474 [i]
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4260, 473, F4, 185) (dual of [473, 213, 186]-code) | [i] | Truncation | |
| 2 | No linear OOA(4260, 472, F4, 2, 185) (dual of [(472, 2), 684, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(4259, 472, F4, 2, 184) (dual of [(472, 2), 685, 185]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(4259, 472, F4, 3, 184) (dual of [(472, 3), 1157, 185]-NRT-code) | [i] | ||
| 5 | No digital (75, 259, 472)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |