Information on Result #551616
There is no linear OOA(2123, 120, F2, 2, 68) (dual of [(120, 2), 117, 69]-NRT-code), because 12 step m-reduction 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]
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(2123, 120, F2, 3, 68) (dual of [(120, 3), 237, 69]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2123, 120, F2, 4, 68) (dual of [(120, 4), 357, 69]-NRT-code) | [i] | ||
| 3 | No linear OOA(2123, 120, F2, 5, 68) (dual of [(120, 5), 477, 69]-NRT-code) | [i] | ||
| 4 | No linear OOA(2123, 120, F2, 6, 68) (dual of [(120, 6), 597, 69]-NRT-code) | [i] | ||
| 5 | No linear OOA(2123, 120, F2, 7, 68) (dual of [(120, 7), 717, 69]-NRT-code) | [i] | ||
| 6 | No linear OOA(2123, 120, F2, 8, 68) (dual of [(120, 8), 837, 69]-NRT-code) | [i] | ||