Information on Result #553473
There is no linear OOA(2197, 219, F2, 2, 96) (dual of [(219, 2), 241, 97]-NRT-code), because 4 step m-reduction would yield linear OA(2193, 219, F2, 92) (dual of [219, 26, 93]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2194, 220, F2, 92) (dual of [220, 26, 93]-code), but
- adding a parity check bit [i] would yield linear OA(2195, 221, F2, 93) (dual of [221, 26, 94]-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(2197, 219, F2, 3, 96) (dual of [(219, 3), 460, 97]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2197, 219, F2, 4, 96) (dual of [(219, 4), 679, 97]-NRT-code) | [i] | ||
| 3 | No linear OOA(2197, 219, F2, 5, 96) (dual of [(219, 5), 898, 97]-NRT-code) | [i] | ||
| 4 | No linear OOA(2197, 219, F2, 6, 96) (dual of [(219, 6), 1117, 97]-NRT-code) | [i] | ||
| 5 | No linear OOA(2197, 219, F2, 7, 96) (dual of [(219, 7), 1336, 97]-NRT-code) | [i] | ||
| 6 | No linear OOA(2197, 219, F2, 8, 96) (dual of [(219, 8), 1555, 97]-NRT-code) | [i] | ||