Information on Result #551035
There is no linear OOA(284, 103, F2, 2, 41) (dual of [(103, 2), 122, 42]-NRT-code), because 1 step m-reduction would yield linear OA(283, 103, F2, 40) (dual of [103, 20, 41]-code), but
- adding a parity check bit [i] would yield linear OA(284, 104, F2, 41) (dual of [104, 20, 42]-code), but
- “Bro†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(284, 103, F2, 3, 41) (dual of [(103, 3), 225, 42]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(284, 103, F2, 4, 41) (dual of [(103, 4), 328, 42]-NRT-code) | [i] | ||
| 3 | No linear OOA(284, 103, F2, 5, 41) (dual of [(103, 5), 431, 42]-NRT-code) | [i] | ||
| 4 | No linear OOA(284, 103, F2, 6, 41) (dual of [(103, 6), 534, 42]-NRT-code) | [i] | ||
| 5 | No linear OOA(284, 103, F2, 7, 41) (dual of [(103, 7), 637, 42]-NRT-code) | [i] | ||
| 6 | No linear OOA(284, 103, F2, 8, 41) (dual of [(103, 8), 740, 42]-NRT-code) | [i] | ||