Information on Result #553724
There is no linear OOA(2205, 245, F2, 2, 99) (dual of [(245, 2), 285, 100]-NRT-code), because 1 step m-reduction would yield linear OA(2204, 245, F2, 98) (dual of [245, 41, 99]-code), but
- residual code [i] would yield OA(2106, 146, S2, 49), but
- 1 times truncation [i] would yield OA(2105, 145, S2, 48), but
- the linear programming bound shows that M ≥ 727 070369 678229 731686 401086 929362 121333 407744 / 17 521374 765895 > 2105 [i]
- 1 times truncation [i] would yield OA(2105, 145, S2, 48), but
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(2205, 245, F2, 3, 99) (dual of [(245, 3), 530, 100]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(2205, 245, F2, 4, 99) (dual of [(245, 4), 775, 100]-NRT-code) | [i] | ||
3 | No linear OOA(2205, 245, F2, 5, 99) (dual of [(245, 5), 1020, 100]-NRT-code) | [i] | ||
4 | No linear OOA(2205, 245, F2, 6, 99) (dual of [(245, 6), 1265, 100]-NRT-code) | [i] | ||
5 | No linear OOA(2205, 245, F2, 7, 99) (dual of [(245, 7), 1510, 100]-NRT-code) | [i] | ||
6 | No linear OOA(2205, 245, F2, 8, 99) (dual of [(245, 8), 1755, 100]-NRT-code) | [i] |