Information on Result #547414
There is no linear OA(4242, 435, F4, 172) (dual of [435, 193, 173]-code), because residual code would yield OA(470, 262, S4, 43), but
- the linear programming bound shows that M ≥ 45 983165 517068 297448 511524 093141 662826 825837 816964 700852 432473 444189 329902 728330 463517 081600 / 32 437855 549903 223644 246089 638836 795109 698224 516577 > 470 [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(4243, 436, F4, 173) (dual of [436, 193, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4244, 437, F4, 174) (dual of [437, 193, 175]-code) | [i] | ||
| 3 | No linear OA(4245, 438, F4, 175) (dual of [438, 193, 176]-code) | [i] | ||
| 4 | No linear OOA(4243, 435, F4, 2, 173) (dual of [(435, 2), 627, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4244, 435, F4, 2, 174) (dual of [(435, 2), 626, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4245, 435, F4, 2, 175) (dual of [(435, 2), 625, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4242, 435, F4, 2, 172) (dual of [(435, 2), 628, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4242, 435, F4, 3, 172) (dual of [(435, 3), 1063, 173]-NRT-code) | [i] | ||
| 9 | No digital (70, 242, 435)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |