Information on Result #547412
There is no linear OA(4240, 399, F4, 172) (dual of [399, 159, 173]-code), because residual code would yield OA(468, 226, S4, 43), but
- the linear programming bound shows that M ≥ 25033 445810 985059 950340 011170 691662 989505 153485 270934 663957 957692 389934 318058 423546 481065 800499 200000 000000 / 283251 267996 901380 825721 338395 747776 993628 726657 913430 519555 536299 > 468 [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(4241, 400, F4, 173) (dual of [400, 159, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4242, 401, F4, 174) (dual of [401, 159, 175]-code) | [i] | ||
| 3 | No linear OA(4243, 402, F4, 175) (dual of [402, 159, 176]-code) | [i] | ||
| 4 | No linear OOA(4241, 399, F4, 2, 173) (dual of [(399, 2), 557, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4242, 399, F4, 2, 174) (dual of [(399, 2), 556, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4243, 399, F4, 2, 175) (dual of [(399, 2), 555, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4240, 399, F4, 2, 172) (dual of [(399, 2), 558, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4240, 399, F4, 3, 172) (dual of [(399, 3), 957, 173]-NRT-code) | [i] | ||
| 9 | No digital (68, 240, 399)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |