Information on Result #550598
There is no linear OOA(229, 38, F2, 2, 15) (dual of [(38, 2), 47, 16]-NRT-code), because 1 step m-reduction would yield linear OA(228, 38, F2, 14) (dual of [38, 10, 15]-code), but
- adding a parity check bit [i] would yield linear OA(229, 39, F2, 15) (dual of [39, 10, 16]-code), but
- “Bou†bound on codes from Brouwer’s database [i]
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(229, 38, F2, 3, 15) (dual of [(38, 3), 85, 16]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(229, 38, F2, 4, 15) (dual of [(38, 4), 123, 16]-NRT-code) | [i] | ||
| 3 | No linear OOA(229, 38, F2, 5, 15) (dual of [(38, 5), 161, 16]-NRT-code) | [i] | ||
| 4 | No linear OOA(229, 38, F2, 6, 15) (dual of [(38, 6), 199, 16]-NRT-code) | [i] | ||
| 5 | No linear OOA(229, 38, F2, 7, 15) (dual of [(38, 7), 237, 16]-NRT-code) | [i] | ||
| 6 | No linear OOA(229, 38, F2, 8, 15) (dual of [(38, 8), 275, 16]-NRT-code) | [i] | ||