Information on Result #550902
There is no linear OOA(273, 82, F2, 2, 37) (dual of [(82, 2), 91, 38]-NRT-code), because 1 step m-reduction would yield linear OA(272, 82, F2, 36) (dual of [82, 10, 37]-code), but
- adding a parity check bit [i] would yield linear OA(273, 83, F2, 37) (dual of [83, 10, 38]-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(273, 82, F2, 3, 37) (dual of [(82, 3), 173, 38]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(273, 82, F2, 4, 37) (dual of [(82, 4), 255, 38]-NRT-code) | [i] | ||
| 3 | No linear OOA(273, 82, F2, 5, 37) (dual of [(82, 5), 337, 38]-NRT-code) | [i] | ||
| 4 | No linear OOA(273, 82, F2, 6, 37) (dual of [(82, 6), 419, 38]-NRT-code) | [i] | ||
| 5 | No linear OOA(273, 82, F2, 7, 37) (dual of [(82, 7), 501, 38]-NRT-code) | [i] | ||
| 6 | No linear OOA(273, 82, F2, 8, 37) (dual of [(82, 8), 583, 38]-NRT-code) | [i] | ||