Information on Result #559970
There is no linear OOA(4161, 223, F4, 2, 119) (dual of [(223, 2), 285, 120]-NRT-code), because 3 step m-reduction would yield linear OA(4158, 223, F4, 116) (dual of [223, 65, 117]-code), but
- residual code [i] would yield OA(442, 106, S4, 29), but
- the linear programming bound shows that M ≥ 11 515430 185021 615009 307015 123093 343331 130678 608727 482845 042118 230016 / 573326 282922 594402 886717 422034 435890 047071 > 442 [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(4161, 223, F4, 3, 119) (dual of [(223, 3), 508, 120]-NRT-code) | [i] | Depth Reduction |