Information on Result #547410
There is no linear OA(4238, 364, F4, 172) (dual of [364, 126, 173]-code), because residual code would yield OA(466, 191, S4, 43), but
- the linear programming bound shows that M ≥ 28 766535 420054 304848 397361 421684 986456 320614 942528 963784 752261 977481 718335 232020 438414 046131 126272 000000 / 5209 403279 129645 739501 754543 221181 850628 166933 877437 442223 389477 > 466 [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(4239, 365, F4, 173) (dual of [365, 126, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4240, 366, F4, 174) (dual of [366, 126, 175]-code) | [i] | ||
| 3 | No linear OA(4241, 367, F4, 175) (dual of [367, 126, 176]-code) | [i] | ||
| 4 | No linear OOA(4239, 364, F4, 2, 173) (dual of [(364, 2), 489, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4240, 364, F4, 2, 174) (dual of [(364, 2), 488, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4241, 364, F4, 2, 175) (dual of [(364, 2), 487, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4238, 364, F4, 2, 172) (dual of [(364, 2), 490, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4238, 364, F4, 3, 172) (dual of [(364, 3), 854, 173]-NRT-code) | [i] | ||
| 9 | No digital (66, 238, 364)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |