Information on Result #552100
There is no linear OOA(2148, 169, F2, 2, 73) (dual of [(169, 2), 190, 74]-NRT-code), because 1 step m-reduction would yield linear OA(2147, 169, F2, 72) (dual of [169, 22, 73]-code), but
- residual code [i] would yield OA(275, 96, S2, 36), but
- the linear programming bound shows that M ≥ 22708 462595 641194 417680 809984 / 528333 > 275 [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(2148, 169, F2, 3, 73) (dual of [(169, 3), 359, 74]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(2148, 169, F2, 4, 73) (dual of [(169, 4), 528, 74]-NRT-code) | [i] | ||
3 | No linear OOA(2148, 169, F2, 5, 73) (dual of [(169, 5), 697, 74]-NRT-code) | [i] | ||
4 | No linear OOA(2148, 169, F2, 6, 73) (dual of [(169, 6), 866, 74]-NRT-code) | [i] | ||
5 | No linear OOA(2148, 169, F2, 7, 73) (dual of [(169, 7), 1035, 74]-NRT-code) | [i] | ||
6 | No linear OOA(2148, 169, F2, 8, 73) (dual of [(169, 8), 1204, 74]-NRT-code) | [i] |