Information on Result #560027
There is no linear OOA(4168, 251, F4, 2, 123) (dual of [(251, 2), 334, 124]-NRT-code), because 3 step m-reduction would yield linear OA(4165, 251, F4, 120) (dual of [251, 86, 121]-code), but
- residual code [i] would yield OA(445, 130, S4, 30), but
- the linear programming bound shows that M ≥ 18361 010361 194259 039988 478818 345052 021927 082904 773350 916096 / 14 690690 202506 322671 084018 635999 > 445 [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(4168, 251, F4, 3, 123) (dual of [(251, 3), 585, 124]-NRT-code) | [i] | Depth Reduction | |