Information on Result #547411
There is no linear OA(4239, 380, F4, 172) (dual of [380, 141, 173]-code), because residual code would yield OA(467, 207, S4, 43), but
- the linear programming bound shows that M ≥ 28014 561764 993307 241664 052911 871857 702310 880709 902206 525389 902012 241710 106857 807269 754280 270102 528000 / 1 234731 917948 789567 037359 176277 481011 072922 589066 284983 746001 > 467 [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(4240, 381, F4, 173) (dual of [381, 141, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4241, 382, F4, 174) (dual of [382, 141, 175]-code) | [i] | ||
| 3 | No linear OA(4242, 383, F4, 175) (dual of [383, 141, 176]-code) | [i] | ||
| 4 | No linear OOA(4240, 380, F4, 2, 173) (dual of [(380, 2), 520, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4241, 380, F4, 2, 174) (dual of [(380, 2), 519, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4242, 380, F4, 2, 175) (dual of [(380, 2), 518, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4239, 380, F4, 2, 172) (dual of [(380, 2), 521, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4239, 380, F4, 3, 172) (dual of [(380, 3), 901, 173]-NRT-code) | [i] | ||
| 9 | No digital (67, 239, 380)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |