Information on Result #547427
There is no linear OA(4237, 268, F4, 176) (dual of [268, 31, 177]-code), because residual code would yield OA(461, 91, S4, 44), but
- the linear programming bound shows that M ≥ 115457 192596 305257 505080 897617 251271 932542 088555 636975 468544 / 21352 537403 048391 328525 > 461 [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(4238, 269, F4, 177) (dual of [269, 31, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4239, 270, F4, 178) (dual of [270, 31, 179]-code) | [i] | ||
| 3 | No linear OA(4240, 271, F4, 179) (dual of [271, 31, 180]-code) | [i] | ||
| 4 | No linear OOA(4238, 268, F4, 2, 177) (dual of [(268, 2), 298, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4239, 268, F4, 2, 178) (dual of [(268, 2), 297, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4240, 268, F4, 2, 179) (dual of [(268, 2), 296, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4237, 268, F4, 2, 176) (dual of [(268, 2), 299, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4237, 268, F4, 3, 176) (dual of [(268, 3), 567, 177]-NRT-code) | [i] | ||
| 9 | No digital (61, 237, 268)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |