Information on Result #547239
There is no linear OA(4191, 265, F4, 140) (dual of [265, 74, 141]-code), because residual code would yield OA(451, 124, S4, 35), but
- the linear programming bound shows that M ≥ 691 446239 734930 013936 659131 075507 527072 529250 608218 542950 198517 596797 334894 673920 / 123 717113 118431 928293 789080 421222 899797 731711 329751 > 451 [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(4192, 266, F4, 141) (dual of [266, 74, 142]-code) | [i] | Truncation | |
| 2 | No linear OA(4193, 267, F4, 142) (dual of [267, 74, 143]-code) | [i] | ||
| 3 | No linear OA(4194, 268, F4, 143) (dual of [268, 74, 144]-code) | [i] | ||
| 4 | No linear OOA(4192, 265, F4, 2, 141) (dual of [(265, 2), 338, 142]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4193, 265, F4, 2, 142) (dual of [(265, 2), 337, 143]-NRT-code) | [i] | ||
| 6 | No linear OOA(4194, 265, F4, 2, 143) (dual of [(265, 2), 336, 144]-NRT-code) | [i] | ||
| 7 | No linear OOA(4191, 265, F4, 2, 140) (dual of [(265, 2), 339, 141]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4191, 265, F4, 3, 140) (dual of [(265, 3), 604, 141]-NRT-code) | [i] | ||
| 9 | No digital (51, 191, 265)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |