Information on Result #553844
There is no linear OOA(2209, 207, F2, 2, 111) (dual of [(207, 2), 205, 112]-NRT-code), because 11 step m-reduction would yield linear OA(2198, 207, F2, 100) (dual of [207, 9, 101]-code), but
- residual code [i] would yield linear OA(298, 106, F2, 50) (dual of [106, 8, 51]-code), but
- residual code [i] would yield linear OA(248, 55, F2, 25) (dual of [55, 7, 26]-code), but
- “vT4†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(248, 55, F2, 25) (dual of [55, 7, 26]-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(2209, 207, F2, 3, 111) (dual of [(207, 3), 412, 112]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2209, 207, F2, 4, 111) (dual of [(207, 4), 619, 112]-NRT-code) | [i] | ||
| 3 | No linear OOA(2209, 207, F2, 5, 111) (dual of [(207, 5), 826, 112]-NRT-code) | [i] | ||
| 4 | No linear OOA(2209, 207, F2, 6, 111) (dual of [(207, 6), 1033, 112]-NRT-code) | [i] | ||
| 5 | No linear OOA(2209, 207, F2, 7, 111) (dual of [(207, 7), 1240, 112]-NRT-code) | [i] | ||
| 6 | No linear OOA(2209, 207, F2, 8, 111) (dual of [(207, 8), 1447, 112]-NRT-code) | [i] | ||