Information on Result #561566
There is no linear OOA(4243, 333, F4, 2, 178) (dual of [(333, 2), 423, 179]-NRT-code), because 2 step m-reduction would yield linear OA(4241, 333, F4, 176) (dual of [333, 92, 177]-code), but
- residual code [i] 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 OOA(4243, 333, F4, 3, 178) (dual of [(333, 3), 756, 179]-NRT-code) | [i] | Depth Reduction | |