Information on Result #561759
There is no linear OOA(4249, 430, F4, 2, 178) (dual of [(430, 2), 611, 179]-NRT-code), because 2 step m-reduction would yield linear OA(4247, 430, F4, 176) (dual of [430, 183, 177]-code), but
- residual code [i] would yield OA(471, 253, S4, 44), but
- the linear programming bound shows that M ≥ 27385 603782 383297 661406 789870 071468 501212 578772 565955 567440 744927 980401 898659 225594 231422 713856 / 4741 255951 754751 821637 567787 914724 985401 817073 767747 > 471 [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(4249, 430, F4, 3, 178) (dual of [(430, 3), 1041, 179]-NRT-code) | [i] | Depth Reduction |