Information on Result #547338
There is no linear OA(4218, 291, F4, 160) (dual of [291, 73, 161]-code), because residual code would yield OA(458, 130, S4, 40), but
- the linear programming bound shows that M ≥ 209544 936299 479389 121518 912044 089753 196453 227215 118049 279760 432327 769939 564811 820879 196123 613172 070974 880613 527842 029138 321043 777447 471353 954304 / 2 470482 844369 173135 750828 733014 583913 640615 187243 459992 006489 938479 554355 225141 791107 956885 358375 430667 629325 > 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(4219, 292, F4, 161) (dual of [292, 73, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4220, 293, F4, 162) (dual of [293, 73, 163]-code) | [i] | ||
| 3 | No linear OA(4221, 294, F4, 163) (dual of [294, 73, 164]-code) | [i] | ||
| 4 | No linear OOA(4219, 291, F4, 2, 161) (dual of [(291, 2), 363, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4220, 291, F4, 2, 162) (dual of [(291, 2), 362, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4221, 291, F4, 2, 163) (dual of [(291, 2), 361, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4218, 291, F4, 2, 160) (dual of [(291, 2), 364, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4218, 291, F4, 3, 160) (dual of [(291, 3), 655, 161]-NRT-code) | [i] | ||
| 9 | No digital (58, 218, 291)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |