Information on Result #550582
There is no linear OOA(217, 24, F2, 2, 9) (dual of [(24, 2), 31, 10]-NRT-code), because 1 step m-reduction would yield linear OA(216, 24, F2, 8) (dual of [24, 8, 9]-code), but
- adding a parity check bit [i] would yield linear OA(217, 25, F2, 9) (dual of [25, 8, 10]-code), but
- “YH1†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(217, 24, F2, 3, 9) (dual of [(24, 3), 55, 10]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(217, 24, F2, 4, 9) (dual of [(24, 4), 79, 10]-NRT-code) | [i] | ||
| 3 | No linear OOA(217, 24, F2, 5, 9) (dual of [(24, 5), 103, 10]-NRT-code) | [i] | ||
| 4 | No linear OOA(217, 24, F2, 6, 9) (dual of [(24, 6), 127, 10]-NRT-code) | [i] | ||
| 5 | No linear OOA(217, 24, F2, 7, 9) (dual of [(24, 7), 151, 10]-NRT-code) | [i] | ||
| 6 | No linear OOA(217, 24, F2, 8, 9) (dual of [(24, 8), 175, 10]-NRT-code) | [i] | ||