Information on Result #547455
There is no linear OA(4246, 331, F4, 180) (dual of [331, 85, 181]-code), because residual code would yield OA(466, 150, S4, 45), but
- the linear programming bound shows that M ≥ 218 603248 395353 963143 573129 094845 574107 874696 792745 859935 933646 235876 315511 128217 770614 833515 398023 492482 446101 600214 474162 958366 887001 317163 943539 507200 000000 / 39636 522622 025040 367641 896273 764902 619875 534086 883796 962530 116095 725635 815042 105519 857817 694911 172894 869760 633227 396889 > 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(4247, 332, F4, 181) (dual of [332, 85, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4248, 333, F4, 182) (dual of [333, 85, 183]-code) | [i] | ||
| 3 | No linear OA(4249, 334, F4, 183) (dual of [334, 85, 184]-code) | [i] | ||
| 4 | No linear OOA(4247, 331, F4, 2, 181) (dual of [(331, 2), 415, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4248, 331, F4, 2, 182) (dual of [(331, 2), 414, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4249, 331, F4, 2, 183) (dual of [(331, 2), 413, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4246, 331, F4, 2, 180) (dual of [(331, 2), 416, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4246, 331, F4, 3, 180) (dual of [(331, 3), 747, 181]-NRT-code) | [i] | ||
| 9 | No digital (66, 246, 331)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |