Information on Result #547405
There is no linear OA(4233, 288, F4, 172) (dual of [288, 55, 173]-code), because residual code would yield OA(461, 115, S4, 43), but
- the linear programming bound shows that M ≥ 8 867577 820394 892078 302903 376011 219649 893047 268294 051459 959774 715216 956970 670840 325873 158120 379501 398960 032970 458008 737468 823847 270763 370822 590292 322808 758272 / 1 568698 363933 661749 730985 011129 979312 182529 988673 402786 941022 163461 443141 672915 973490 090934 276533 827022 911521 994930 215625 > 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(4234, 289, F4, 173) (dual of [289, 55, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4235, 290, F4, 174) (dual of [290, 55, 175]-code) | [i] | ||
| 3 | No linear OA(4236, 291, F4, 175) (dual of [291, 55, 176]-code) | [i] | ||
| 4 | No linear OOA(4234, 288, F4, 2, 173) (dual of [(288, 2), 342, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4235, 288, F4, 2, 174) (dual of [(288, 2), 341, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4236, 288, F4, 2, 175) (dual of [(288, 2), 340, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4233, 288, F4, 2, 172) (dual of [(288, 2), 343, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4233, 288, F4, 3, 172) (dual of [(288, 3), 631, 173]-NRT-code) | [i] | ||
| 9 | No digital (61, 233, 288)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |