Information on Result #554745
There is no linear OOA(2244, 233, F2, 2, 133) (dual of [(233, 2), 222, 134]-NRT-code), because 21 step m-reduction would yield linear OA(2223, 233, F2, 112) (dual of [233, 10, 113]-code), but
- residual code [i] would yield linear OA(2111, 120, F2, 56) (dual of [120, 9, 57]-code), but
- residual code [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]
- residual code [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-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(2244, 233, F2, 3, 133) (dual of [(233, 3), 455, 134]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2244, 233, F2, 4, 133) (dual of [(233, 4), 688, 134]-NRT-code) | [i] | ||
| 3 | No linear OOA(2244, 233, F2, 5, 133) (dual of [(233, 5), 921, 134]-NRT-code) | [i] | ||
| 4 | No linear OOA(2244, 233, F2, 6, 133) (dual of [(233, 6), 1154, 134]-NRT-code) | [i] | ||
| 5 | No linear OOA(2244, 233, F2, 7, 133) (dual of [(233, 7), 1387, 134]-NRT-code) | [i] | ||
| 6 | No linear OOA(2244, 233, F2, 8, 133) (dual of [(233, 8), 1620, 134]-NRT-code) | [i] | ||