Information on Result #547453
There is no linear OA(4244, 300, F4, 180) (dual of [300, 56, 181]-code), because residual code would yield OA(464, 119, S4, 45), but
- the linear programming bound shows that M ≥ 86281 259132 858652 351318 621152 193776 169011 314302 048568 574075 512291 106476 673632 920228 434592 062075 337852 335348 631534 055263 738553 834940 174592 676821 962753 440810 532864 / 242 561963 734980 780383 061022 729662 792650 160301 201736 163590 343831 386934 538599 980695 527882 064362 246641 801684 355864 415256 969895 > 464 [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(4245, 301, F4, 181) (dual of [301, 56, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4246, 302, F4, 182) (dual of [302, 56, 183]-code) | [i] | ||
| 3 | No linear OA(4247, 303, F4, 183) (dual of [303, 56, 184]-code) | [i] | ||
| 4 | No linear OOA(4245, 300, F4, 2, 181) (dual of [(300, 2), 355, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4246, 300, F4, 2, 182) (dual of [(300, 2), 354, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4247, 300, F4, 2, 183) (dual of [(300, 2), 353, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4244, 300, F4, 2, 180) (dual of [(300, 2), 356, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4244, 300, F4, 3, 180) (dual of [(300, 3), 656, 181]-NRT-code) | [i] | ||
| 9 | No digital (64, 244, 300)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |