Information on Result #547321
There is no linear OA(4216, 337, F4, 156) (dual of [337, 121, 157]-code), because residual code would yield OA(460, 180, S4, 39), but
- the linear programming bound shows that M ≥ 64 592000 643692 089079 054839 691926 765927 402602 779909 340826 367902 235627 537241 992340 655885 516800 / 46 756581 550576 177840 289976 743881 661381 961798 582533 083517 > 460 [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(4217, 338, F4, 157) (dual of [338, 121, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(4218, 339, F4, 158) (dual of [339, 121, 159]-code) | [i] | ||
| 3 | No linear OA(4219, 340, F4, 159) (dual of [340, 121, 160]-code) | [i] | ||
| 4 | No linear OOA(4217, 337, F4, 2, 157) (dual of [(337, 2), 457, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4218, 337, F4, 2, 158) (dual of [(337, 2), 456, 159]-NRT-code) | [i] | ||
| 6 | No linear OOA(4219, 337, F4, 2, 159) (dual of [(337, 2), 455, 160]-NRT-code) | [i] | ||
| 7 | No linear OOA(4216, 337, F4, 2, 156) (dual of [(337, 2), 458, 157]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4216, 337, F4, 3, 156) (dual of [(337, 3), 795, 157]-NRT-code) | [i] | ||
| 9 | No digital (60, 216, 337)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |