Information on Result #547431
There is no linear OA(4241, 333, F4, 176) (dual of [333, 92, 177]-code), because residual code would yield OA(465, 156, S4, 44), but
- the linear programming bound shows that M ≥ 5305 672794 944537 381320 515598 514645 629008 946704 424695 546266 632663 854579 036277 493526 466626 448910 185539 633024 632652 385646 851129 344000 / 3 530621 465654 281569 250779 664225 038700 823798 252333 134165 234221 216150 895884 348866 248497 833837 > 465 [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(4242, 334, F4, 177) (dual of [334, 92, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4243, 335, F4, 178) (dual of [335, 92, 179]-code) | [i] | ||
| 3 | No linear OA(4244, 336, F4, 179) (dual of [336, 92, 180]-code) | [i] | ||
| 4 | No linear OOA(4242, 333, F4, 2, 177) (dual of [(333, 2), 424, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4243, 333, F4, 2, 178) (dual of [(333, 2), 423, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4244, 333, F4, 2, 179) (dual of [(333, 2), 422, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4241, 333, F4, 2, 176) (dual of [(333, 2), 425, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4241, 333, F4, 3, 176) (dual of [(333, 3), 758, 177]-NRT-code) | [i] | ||
| 9 | No digital (65, 241, 333)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |