Information on Result #554635
There is no linear OOA(2240, 247, F2, 2, 123) (dual of [(247, 2), 254, 124]-NRT-code), because 3 step m-reduction would yield linear OA(2237, 247, F2, 120) (dual of [247, 10, 121]-code), but
- residual code [i] would yield linear OA(2117, 126, F2, 60) (dual of [126, 9, 61]-code), but
- residual code [i] would yield linear OA(257, 65, F2, 30) (dual of [65, 8, 31]-code), but
- 2 times truncation [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- 2 times truncation [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- residual code [i] would yield linear OA(257, 65, F2, 30) (dual of [65, 8, 31]-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(2240, 247, F2, 3, 123) (dual of [(247, 3), 501, 124]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2240, 247, F2, 4, 123) (dual of [(247, 4), 748, 124]-NRT-code) | [i] | ||
| 3 | No linear OOA(2240, 247, F2, 5, 123) (dual of [(247, 5), 995, 124]-NRT-code) | [i] | ||
| 4 | No linear OOA(2240, 247, F2, 6, 123) (dual of [(247, 6), 1242, 124]-NRT-code) | [i] | ||
| 5 | No linear OOA(2240, 247, F2, 7, 123) (dual of [(247, 7), 1489, 124]-NRT-code) | [i] | ||
| 6 | No linear OOA(2240, 247, F2, 8, 123) (dual of [(247, 8), 1736, 124]-NRT-code) | [i] | ||