Information on Result #547263
There is no linear OA(4202, 358, F4, 144) (dual of [358, 156, 145]-code), because residual code would yield OA(458, 213, S4, 36), but
- the linear programming bound shows that M ≥ 7 866958 687285 876635 384332 274577 437607 350342 946368 588838 836611 539357 984012 369920 / 88 856238 935032 449112 554626 779870 493844 853867 > 458 [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(4203, 359, F4, 145) (dual of [359, 156, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(4204, 360, F4, 146) (dual of [360, 156, 147]-code) | [i] | ||
| 3 | No linear OA(4205, 361, F4, 147) (dual of [361, 156, 148]-code) | [i] | ||
| 4 | No linear OOA(4203, 358, F4, 2, 145) (dual of [(358, 2), 513, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4204, 358, F4, 2, 146) (dual of [(358, 2), 512, 147]-NRT-code) | [i] | ||
| 6 | No linear OOA(4205, 358, F4, 2, 147) (dual of [(358, 2), 511, 148]-NRT-code) | [i] | ||
| 7 | No linear OOA(4202, 358, F4, 2, 144) (dual of [(358, 2), 514, 145]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4202, 358, F4, 3, 144) (dual of [(358, 3), 872, 145]-NRT-code) | [i] | ||
| 9 | No digital (58, 202, 358)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |