Information on Result #547496
There is no linear OA(4257, 350, F4, 188) (dual of [350, 93, 189]-code), because residual code would yield OA(469, 161, S4, 47), but
- 1 times truncation [i] would yield OA(468, 160, S4, 46), but
- the linear programming bound shows that M ≥ 10178 629433 929836 486543 068800 140163 269042 043780 022134 664338 507769 510819 622533 364638 543087 235674 689592 586232 641534 482804 572425 994198 736437 248000 / 113203 572801 045878 145860 058818 437218 882917 411800 440768 742206 357256 206420 022337 868833 760142 804084 942919 > 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(4258, 351, F4, 189) (dual of [351, 93, 190]-code) | [i] | Truncation | |
| 2 | No linear OA(4259, 352, F4, 190) (dual of [352, 93, 191]-code) | [i] | ||
| 3 | No linear OA(4260, 353, F4, 191) (dual of [353, 93, 192]-code) | [i] | ||
| 4 | No linear OOA(4258, 350, F4, 2, 189) (dual of [(350, 2), 442, 190]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4259, 350, F4, 2, 190) (dual of [(350, 2), 441, 191]-NRT-code) | [i] | ||
| 6 | No linear OOA(4260, 350, F4, 2, 191) (dual of [(350, 2), 440, 192]-NRT-code) | [i] | ||
| 7 | No linear OOA(4257, 350, F4, 2, 188) (dual of [(350, 2), 443, 189]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4257, 350, F4, 3, 188) (dual of [(350, 3), 793, 189]-NRT-code) | [i] | ||
| 9 | No digital (69, 257, 350)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |