Information on Result #547434
There is no linear OA(4244, 379, F4, 176) (dual of [379, 135, 177]-code), because residual code would yield OA(468, 202, S4, 44), but
- the linear programming bound shows that M ≥ 2027 088631 021403 337954 762092 477564 421959 685162 636703 100335 360507 890568 637631 560712 794323 981191 765389 475840 / 21729 825107 879568 901112 749356 633788 098469 459498 248484 364910 480751 > 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(4245, 380, F4, 177) (dual of [380, 135, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4246, 381, F4, 178) (dual of [381, 135, 179]-code) | [i] | ||
| 3 | No linear OA(4247, 382, F4, 179) (dual of [382, 135, 180]-code) | [i] | ||
| 4 | No linear OOA(4245, 379, F4, 2, 177) (dual of [(379, 2), 513, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4246, 379, F4, 2, 178) (dual of [(379, 2), 512, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4247, 379, F4, 2, 179) (dual of [(379, 2), 511, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4244, 379, F4, 2, 176) (dual of [(379, 2), 514, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4244, 379, F4, 3, 176) (dual of [(379, 3), 893, 177]-NRT-code) | [i] | ||
| 9 | No digital (68, 244, 379)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |