Information on Result #547475
There is no linear OA(4249, 298, F4, 184) (dual of [298, 49, 185]-code), because residual code would yield OA(465, 113, S4, 46), but
- the linear programming bound shows that M ≥ 145 402369 805359 268193 209685 952643 209942 587568 332064 303419 732807 154505 932977 868145 129044 024267 389501 535040 862760 730624 / 100423 807776 117676 644806 780906 988983 236254 180840 898357 650546 636091 023031 034405 > 465 [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(4250, 299, F4, 185) (dual of [299, 49, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4251, 300, F4, 186) (dual of [300, 49, 187]-code) | [i] | ||
| 3 | No linear OA(4252, 301, F4, 187) (dual of [301, 49, 188]-code) | [i] | ||
| 4 | No linear OOA(4250, 298, F4, 2, 185) (dual of [(298, 2), 346, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4251, 298, F4, 2, 186) (dual of [(298, 2), 345, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4252, 298, F4, 2, 187) (dual of [(298, 2), 344, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4249, 298, F4, 2, 184) (dual of [(298, 2), 347, 185]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4249, 298, F4, 3, 184) (dual of [(298, 3), 645, 185]-NRT-code) | [i] | ||
| 9 | No digital (65, 249, 298)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |