Information on Result #551333
There is no linear OOA(2105, 115, F2, 2, 53) (dual of [(115, 2), 125, 54]-NRT-code), because 1 step m-reduction would yield linear OA(2104, 115, F2, 52) (dual of [115, 11, 53]-code), but
- adding a parity check bit [i] would yield linear OA(2105, 116, F2, 53) (dual of [116, 11, 54]-code), 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(2105, 115, F2, 3, 53) (dual of [(115, 3), 240, 54]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2105, 115, F2, 4, 53) (dual of [(115, 4), 355, 54]-NRT-code) | [i] | ||
| 3 | No linear OOA(2105, 115, F2, 5, 53) (dual of [(115, 5), 470, 54]-NRT-code) | [i] | ||
| 4 | No linear OOA(2105, 115, F2, 6, 53) (dual of [(115, 6), 585, 54]-NRT-code) | [i] | ||
| 5 | No linear OOA(2105, 115, F2, 7, 53) (dual of [(115, 7), 700, 54]-NRT-code) | [i] | ||
| 6 | No linear OOA(2105, 115, F2, 8, 53) (dual of [(115, 8), 815, 54]-NRT-code) | [i] | ||