Information on Result #547481
There is no linear OA(4255, 391, F4, 184) (dual of [391, 136, 185]-code), because residual code would yield OA(471, 206, S4, 46), but
- the linear programming bound shows that M ≥ 12190 666552 860549 875030 280693 949215 033597 089167 787297 540990 306499 998443 349891 008938 804128 810849 723006 100908 802048 / 2095 122091 727468 263392 248874 603589 540011 988045 238608 933987 894642 253863 > 471 [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(4256, 392, F4, 185) (dual of [392, 136, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4257, 393, F4, 186) (dual of [393, 136, 187]-code) | [i] | ||
| 3 | No linear OA(4258, 394, F4, 187) (dual of [394, 136, 188]-code) | [i] | ||
| 4 | No linear OOA(4256, 391, F4, 2, 185) (dual of [(391, 2), 526, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4257, 391, F4, 2, 186) (dual of [(391, 2), 525, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4258, 391, F4, 2, 187) (dual of [(391, 2), 524, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4255, 391, F4, 2, 184) (dual of [(391, 2), 527, 185]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4255, 391, F4, 3, 184) (dual of [(391, 3), 918, 185]-NRT-code) | [i] | ||
| 9 | No digital (71, 255, 391)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |