Information on Result #547478
There is no linear OA(4252, 345, F4, 184) (dual of [345, 93, 185]-code), because residual code 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(4253, 346, F4, 185) (dual of [346, 93, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4254, 347, F4, 186) (dual of [347, 93, 187]-code) | [i] | ||
| 3 | No linear OA(4255, 348, F4, 187) (dual of [348, 93, 188]-code) | [i] | ||
| 4 | No linear OOA(4253, 345, F4, 2, 185) (dual of [(345, 2), 437, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4254, 345, F4, 2, 186) (dual of [(345, 2), 436, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4255, 345, F4, 2, 187) (dual of [(345, 2), 435, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4252, 345, F4, 2, 184) (dual of [(345, 2), 438, 185]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4252, 345, F4, 3, 184) (dual of [(345, 3), 783, 185]-NRT-code) | [i] | ||
| 9 | No digital (68, 252, 345)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |